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Solve the initial value problem: \(\frac{d y}{d x}=1+y, y(0)=3\).
0 answers 48 views
Solve the initial value problem: \(\frac{d y}{d x}=1+y, y(0)=3\).Solve the initial value problem: \(\frac{d y}{d x}=1+y, y(0)=3\). ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Feb 4
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How do I write vectors whose initial point is not at the origin?
1 answer 51 views
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? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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

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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(3,5)$ and $P_2(2,8)$
0 answers 54 views
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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(-6,2)$ and $P_2(-4,-1)$
0 answers 58 views
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Find the components of the vector $\overrightarrow{P_{1} P_{2}}$ when $P_1(0,0,0)$ and $P_2(-1,6,1)$
0 answers 49 views
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Find the terminal point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose initial point is $A(1,1)$.
0 answers 94 views
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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 $B(-1,-1,2)$.
0 answers 51 views
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Find the initial point of the vector that is equivalent to $\mathbf{u}=(1,2)$ and whose terminal point is $B(2,0)$.
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Let $\mathbf{u}=(4,-1), \mathbf{v}=(0,5)$, and $\mathbf{w}=(-3,-3)$. Find the components of
0 answers 177 views
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) $\mathbf{v}-3 \mathbf{u}$ ...
by MathsGee Platinum
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asked in Mathematics Jan 26
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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
0 answers 58 views
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 ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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
0 answers 179 views
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 ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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 ...
by MathsGee Platinum
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asked in Mathematics Jan 26
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For what value(s) of $t$, if any, is the given vector parallel to $\mathbf{u}=(4,-1)$ ?
0 answers 84 views
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) $\left(1, t^{2}\right)$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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 $a \mathbf{u}+b \mathbf{v}=(1,-4,9,18)$.
0 answers 169 views
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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 $a \mathbf{u}+b \mathbf{v}=(-8,8,3,-1,7)$
0 answers 133 views
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Find scalars $c_{1}, c_{2}$, and $c_{3}$ for which the equation is satisfied.
0 answers 55 views
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}(- ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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
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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?

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If the sum of three vectors in $R^{3}$ is zero, must they lie in the same plane? Explain.
0 answers 69 views
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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 $R^{3}$? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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 $R^{4}$? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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Show that $\mathbf{u}=\frac{1}{\|\mathbf{v}\|} \mathbf{v}$ is a unit vector
1 answer 153 views
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Find the unit vector $\mathbf{u}$ that has the same direction as $\mathbf{v}=(2,2,-1)$.
1 answer 43 views
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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
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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 $(\mathbf{u}-2 \mathbf{v}) \cdot(3 \mathbf{u}+4 \mathbf{v})$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 26
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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 ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 21
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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? ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 13
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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 $n \geq 0$. ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 13
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Solve $\dot{y}=\ln t$
0 answers 39 views
Solve $\dot{y}=\ln t$Solve $\dot{y}=\ln t$ ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 13
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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 $y(2)=1 / 2$. ...
by MathsGee Platinum
(119,140 points)
asked in Mathematics Jan 13
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Solve the initial value problem $t \dot{y}+3 y=0, y(1)=2$, assuming $t>0$. 
1 answer 66 views
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What is the difference between an initial side and a terminal side of an oriented angle?
1 answer 133 views
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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 ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 27, 2021
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Solve this initial value problem
1 answer 92 views
Solve this initial value problemSolve this initial value problem $\dfrac{1}{y} d y+y e^{\cos (x)} \sin (x) d x=0, \quad y(0)=2$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 27, 2021
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Solve the initial value problem:
1 answer 83 views
Solve the initial value problem:Solve the  initial value problem: $\dfrac{d y}{d x}-\dfrac{2 y}{x}=\dfrac{1}{x^{2}}, \quad y(1)=3$ ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 27, 2021
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Solve the following initial value problem:
1 answer 133 views
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 ...
by Siyavula Bronze Status
(7,476 points)
asked in Mathematics Aug 27, 2021
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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 $c=4$

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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 $x=4$ ? ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Jun 11, 2021
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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 $x=2 ?$ ...
by Pieter Gold Status
(31,957 points)
asked in Mathematics Jun 11, 2021
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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
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