# Recent questions tagged initial

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Solve the initial value problem: $\frac{d y}{d x}=1+y, y(0)=3$.
Solve the initial value problem: $\frac{d y}{d x}=1+y, y(0)=3$.Solve the initial value problem: $\frac{d y}{d x}=1+y, y(0)=3$. ...
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How do I write vectors whose initial point is not at the origin?
How do I write vectors whose initial point is not at the origin?How do I write vectors whose initial point is not at the origin? ...
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The components of the vector $\mathbf{v}=\overrightarrow{P_{1} P_{2}}$ with initial point $P_{1}(2,-1,4)$ and terminal point $P_{2}(7,5,-8)$ are
The components of the vector $\mathbf{v}=\overrightarrow{P_{1} P_{2}}$ with initial point $P_{1}(2,-1,4)$ and terminal point $P_{2}(7,5,-8)$ areThe components of the vector $\mathbf{v}=\overrightarrow{P_{1} P_{2}}$ with initial point $P_{1}(2,-1,4)$ and terminal point $P_{2}(7,5,-8)$ are ...
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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(3,5)$ and $P_2(2,8)$
Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(3,5)$ and $P_2(2,8)$Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(3,5)$ and $P_2(2,8)$ ...
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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(-6,2)$ and $P_2(-4,-1)$
Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(-6,2)$ and $P_2(-4,-1)$Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(-6,2)$ and $P_2(-4,-1)$ ...
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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(0,0,0)$ and $P_2(-1,6,1)$
Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(0,0,0)$ and $P_2(-1,6,1)$Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(0,0,0)$ and $P_2(-1,6,1)$ ...
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Find the terminal point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose initial point is $A(1,1)$.
Find the terminal point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose initial point is $A(1,1)$.Find the terminal point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose initial point is $A(1,1)$. ...
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Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,1,3)$ and whose terminal point is $B(-1,-1,2)$.
Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,1,3)$ and whose terminal point is $B(-1,-1,2)$.Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,1,3)$ and whose terminal point is $B(-1,-1,2)$. ...
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Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose terminal point is $B(2,0)$.
Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose terminal point is $B(2,0)$.Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose terminal point is $B(2,0)$. ...
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Find an initial point $P$ of a nonzero vector $\mathbf{u}=\overrightarrow{P Q}$ with terminal point $Q(3,0,-5)$ and such that $\mathbb{u}$ has the same direction as $\mathbf{v}=(4,-2,-1)$.Find an initial point $P$ of a nonzero vector $\mathbf{u}=\overrightarrow{P Q}$ with terminal point $Q(3,0,-5)$ and such that $\mathbb{u}$ has the sam ...
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Let $\mathbf{u}=(4,-1), \mathbf{v}=(0,5)$, and $\mathbf{w}=(-3,-3)$. Find the components of
Let $\mathbf{u}=(4,-1), \mathbf{v}=(0,5)$, and $\mathbf{w}=(-3,-3)$. Find the components ofLet $\mathbf{u}=(4,-1), \mathbf{v}=(0,5)$, and $\mathbf{w}=(-3,-3)$. Find the components of (a) $\mathbf{u}+\mathbf{w}$ (b) $\mathbf{v}-3 \mathbf{u}$ ...
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Find a terminal point $Q$ of a nonzero vector $\mathbf{u}=\overrightarrow{P Q}$ with initial point $P(-1,3,-5)$ and such that
Find a terminal point $Q$ of a nonzero vector $\mathbf{u}=\overrightarrow{P Q}$ with initial point $P(-1,3,-5)$ and such thatFind a terminal point $Q$ of a nonzero vector $\mathbf{u}=\overrightarrow{P Q}$ with initial point $P(-1,3,-5)$ and such that (a) $\mathbf{u}$ has the ...
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Let $\mathbf{u}=(-3,1,2), \mathbf{v}=(4,0,-8)$, and $\mathbf{w}=(6,-1,-4)$. Find the components of
Let $\mathbf{u}=(-3,1,2), \mathbf{v}=(4,0,-8)$, and $\mathbf{w}=(6,-1,-4)$. Find the components ofLet $\mathbf{u}=(-3,1,2), \mathbf{v}=(4,0,-8)$, and $\mathbf{w}=(6,-1,-4)$. Find the components of (a) $\mathbf{v}-\mathbf{w}$ (b) $6 \mathrm{u}+2 \ma ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which of the following vectors in$R^{6}$, if any, are parallel to$\mathbf{u}=(-2,1,0,3,5,1) ?$0 answers 85 views Which of the following vectors in$R^{6}$, if any, are parallel to$\mathbf{u}=(-2,1,0,3,5,1) ?$Which of the following vectors in$R^{6}$, if any, are parallel to$\mathbf{u}=(-2,1,0,3,5,1) ?$(a)$(4,2,0,6,10,2)$(b)$(4,-2,0,-6,-10,-2)$(c)$(0 ...
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For what value(s) of $t$, if any, is the given vector parallel to $\mathbf{u}=(4,-1)$ ?
For what value(s) of $t$, if any, is the given vector parallel to $\mathbf{u}=(4,-1)$ ?For what value(s) of $t$, if any, is the given vector parallel to $\mathbf{u}=(4,-1)$ ? (a) $(8 t,-2)$ (b) $(8 t, 2 t)$ (c) $\left(1, t^{2}\right)$ ...
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Let $\mathbf{u}=(1,-1,3,5)$ and $\mathbf{v}=(2,1,0,-3)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(1,-4,9,18)$.
Let $\mathbf{u}=(1,-1,3,5)$ and $\mathbf{v}=(2,1,0,-3)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(1,-4,9,18)$.Let $\mathbf{u}=(1,-1,3,5)$ and $\mathbf{v}=(2,1,0,-3)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(1,-4,9,18)$. ...
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Let $\mathbf{u}=(2,1,0,1,-1)$ and $\mathbf{v}=(-2,3,1,0,2)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(-8,8,3,-1,7)$
Let $\mathbf{u}=(2,1,0,1,-1)$ and $\mathbf{v}=(-2,3,1,0,2)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(-8,8,3,-1,7)$Let $\mathbf{u}=(2,1,0,1,-1)$ and $\mathbf{v}=(-2,3,1,0,2)$. Find scalars $a$ and $b$ so that $a \mathbf{u}+b \mathbf{v}=(-8,8,3,-1,7)$ ...
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Find scalars $c_{1}, c_{2}$, and $c_{3}$ for which the equation is satisfied.
Find scalars $c_{1}, c_{2}$, and $c_{3}$ for which the equation is satisfied. Find scalars $c_{1}, c_{2}$, and $c_{3}$ for which the equation is satisfied. $c_{1}(1,-1,0)+c_{2}(3,2,1)+c_{3}(0,1,4)=(-1,1,19)$ $c_{1}(- ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that there do not exist scalars$c_{1}, c_{2}$, and$c_{3}$such that $$c_{1}(-2,9,6)+c_{2}(-3,2,1)+c_{3}(1,7,5)=(0,5,4)$$ 0 answers 53 views Show that there do not exist scalars$c_{1}, c_{2}$, and$c_{3}$such that $$c_{1}(-2,9,6)+c_{2}(-3,2,1)+c_{3}(1,7,5)=(0,5,4)$$Show that there do not exist scalars$c_{1}, c_{2}$, and$c_{3}$such that $$c_{1}(-2,9,6)+c_{2}(-3,2,1)+c_{3}(1,7,5)=(0,5,4)$$ ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 In relation to the points$P_{1}$and$P_{2}$, what can you say about the terminal point of the following vector if its initial point is at the origin? 0 answers 47 views In relation to the points$P_{1}$and$P_{2}$, what can you say about the terminal point of the following vector if its initial point is at the origin?In relation to the points$P_{1}$and$P_{2}$, what can you say about the terminal point of the following vector if its initial point is at the origin ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If the sum of three vectors in$R^{3}$is zero, must they lie in the same plane? Explain. 0 answers 69 views If the sum of three vectors in$R^{3}$is zero, must they lie in the same plane? Explain.If the sum of three vectors in$R^{3}$is zero, must they lie in the same plane? Explain. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the norm of the vector$\mathbf{v}=(-3,2,1)$in$R^{3}$? 0 answers 202 views What is the norm of the vector$\mathbf{v}=(-3,2,1)$in$R^{3}$?What is the norm of the vector$\mathbf{v}=(-3,2,1)$in$R^{3}$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the norm of the vector$\mathbf{v}=(2,-1,3,-5)$in$R^{4}$? 1 answer 67 views What is the norm of the vector$\mathbf{v}=(2,-1,3,-5)$in$R^{4}$?What is the norm of the vector$\mathbf{v}=(2,-1,3,-5)$in$R^{4}$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that$\mathbf{u}=\frac{1}{\|\mathbf{v}\|} \mathbf{v}$is a unit vector 1 answer 153 views Show that$\mathbf{u}=\frac{1}{\|\mathbf{v}\|} \mathbf{v}$is a unit vectorShow that$\mathbf{u}=\frac{1}{\|\mathbf{v}\|} \mathbf{v}$is a unit vector ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the unit vector$\mathbf{u}$that has the same direction as$\mathbf{v}=(2,2,-1)$. 1 answer 43 views Find the unit vector$\mathbf{u}$that has the same direction as$\mathbf{v}=(2,2,-1)$.Find the unit vector$\mathbf{u}$that has the same direction as$\mathbf{v}=(2,2,-1)$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$ \mathbf{u}=(1,3,-2,7) \text { and } \mathbf{v}=(0,7,2,2) $then the distance between$\mathbf{u}$and$\mathbf{v}$is 1 answer 148 views If$ \mathbf{u}=(1,3,-2,7) \text { and } \mathbf{v}=(0,7,2,2) $then the distance between$\mathbf{u}$and$\mathbf{v}$isIf$\mathbf{u}=(1,3,-2,7) \text { and } \mathbf{v}=(0,7,2,2)$then the distance between$\mathbf{u}$and$\mathbf{v}$is ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the dot product$(\mathbf{u}-2 \mathbf{v}) \cdot(3 \mathbf{u}+4 \mathbf{v})$1 answer 176 views What is the dot product$(\mathbf{u}-2 \mathbf{v}) \cdot(3 \mathbf{u}+4 \mathbf{v})$What is the dot product$(\mathbf{u}-2 \mathbf{v}) \cdot(3 \mathbf{u}+4 \mathbf{v})$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What was the initial distribution of the milk? 0 answers 42 views What was the initial distribution of the milk?Snow White distributed 21 liters of milk among the seven dwarfs. The first dwarf then distributed the contents of his pail evenly to the pails of othe ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is a first order initial value problem? 1 answer 62 views What is a first order initial value problem?What is a first order initial value problem? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$. 0 answers 43 views Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$.Solve the initial value problem$\dot{y}=t^{n}$with$y(0)=1$and$n \geq 0$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve$\dot{y}=\ln t$0 answers 39 views Solve$\dot{y}=\ln t$Solve$\dot{y}=\ln t$... close 0 answers 119 views Find a non-constant solution of the initial value problem$\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function$y(t)=0$also solves the initial value problem.Find a non-constant solution of the initial value problem$\dot{y}=y^{1 / 3}, y(0)=0$, using separation of variables. Note that the constant function ... close 0 answers 148 views A radioactive substance obeys the equation$\dot{y}=k y$where$k<0$and$y$is the mass of the substance at time$t$. Suppose that initially, the mass of the substance is$y(0)=M>0 .$A radioactive substance obeys the equation$\dot{y}=k y$where$k&lt;0$and$y$is the mass of the substance at time$t$. Suppose that initially, the ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. 1 answer 46 views Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. Solve the initial value problems$\dot{y}+y \cos t=0, y(0)=1 / 2$and$y(2)=1 / 2$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t>0$. 1 answer 66 views Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t>0$. Solve the initial value problem$t \dot{y}+3 y=0, y(1)=2$, assuming$t&gt;0$. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0$, find the amount of the element at time$t .$0 answers 131 views A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0$, find the amount of the element at time$t .$A radioactive element decays with a half-life of 6 years. If a block of the element has mass 10 kilograms at$t=0$, find the amount of the element at ... close 1 answer 140 views Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal angles, at least one of which is positive and one of which is negative.Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal an ... close 1 answer 129 views Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal angles, at least one of which is positive and one of which is negative.Graph each of the (oriented) angles below in standard position and classify them according to where their terminal side lies. Find three coterminal an ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 What is the difference between an initial side and a terminal side of an oriented angle? 1 answer 133 views What is the difference between an initial side and a terminal side of an oriented angle?What is the difference between an initial side and a terminal side of an oriented angle? ... close 1 answer 99 views The statement 'Heat lost by the hot body equals that gained by the cold one' is assumed when determining specific that heat capacity by the method of mixtures. Which of the following validates the assumption? The statement &#39;Heat lost by the hot body equals that gained by the cold one&#39; is assumed when determining specific that heat capacity by the ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Separable equations. Solve the following initial value problems. 1 answer 65 views Separable equations. Solve the following initial value problems.Separable equations. Solve the following initial value problems. (a)$y^{\prime}=x^{3}(1-y), \quad y(0)=3$; (b)$d y / d \theta=y \sin \theta, \quad ...
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Solve this initial value problem
Solve this initial value problemSolve this initial value problem $\dfrac{1}{y} d y+y e^{\cos (x)} \sin (x) d x=0, \quad y(0)=2$ ...
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Solve the initial value problem:
Solve the initial value problem:Solve the &nbsp;initial value problem: $\dfrac{d y}{d x}-\dfrac{2 y}{x}=\dfrac{1}{x^{2}}, \quad y(1)=3$ ...
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Solve the following initial value problem:
Solve the following initial value problem:Solve the following initial value problem:  \cos (x) \frac{d y}{d x}+y \sin (x)=2 x \cos ^{2}(x), \quad y\left(\frac{\pi}{4}\right)=-\frac{15 \sqrt ...
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The equation $f(x)$ is given as $x^{2}-4=0$. Considering the initial approximation at $x=6$ then the value of next approximation correct upto 2 decimal places is given as
The equation $f(x)$ is given as $x^{2}-4=0$. Considering the initial approximation at $x=6$ then the value of next approximation correct upto 2 decimal places is given asThe equation $f(x)$ is given as $x^{2}-4=0$. Considering the initial approximation at $x=6$ then the value of next approximation correct upto 2 decima ...
The equation $f(x)$ is given as $x^{3}-x^{2}+4 x-4=0$. Considering the initial approximation at $x=2$ then the value of next approximation correct upto 2 decimal places is given asThe equation $f(x)$ is given as $x^{3}-x^{2}+4 x-4=0$. Considering the initial approximation at $x=2$ then the value of next approximation correct upt ...
Is there a way to define $f(c)$ for the for the following function so that $f(x)$ is continuous at $x=\mathrm{c}$ ? $f(x)=\dfrac{x^{2}-16}{x-4}$ at $c=4$
Is there a way to define $f(c)$ for the for the following function so that $f(x)$ is continuous at $x=\mathrm{c}$ ? $f(x)=\dfrac{x^{2}-16}{x-4}$ at $c=4$Is there a way to define $f(c)$ for the for the following function so that $f(x)$ is continuous at $x=\mathrm{c}$ ? $f(x)=\dfrac{x^{2}-16}{x-4}$ at $c ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Is$f(x)=\frac{x^{2}-16}{x-4}$continuous at$x=4$? 1 answer 112 views Is$f(x)=\frac{x^{2}-16}{x-4}$continuous at$x=4$?Is$f(x)=\frac{x^{2}-16}{x-4}$continuous at$x=4$? ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Is$f(x)=x^{3}+2 x+1$continuous at$x=2 ?$1 answer 76 views Is$f(x)=x^{3}+2 x+1$continuous at$x=2 ?$Is$f(x)=x^{3}+2 x+1$continuous at$x=2 ?$... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Given:$f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which$f$is concave Up. 1 answer 150 views Given:$f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which$f$is concave Up.Given:$f(x)=2 x^{3}-2 x^{2}+4 x-1$. Determine the interval on which$f\$ is concave Up. ...