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Given \[ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \] Which of the following is equivalent to \(y\) ?
1 answer 16 views
Given \[ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \] Which of the following is equivalent to \(y\) ?Given \ y=\sqrt{x^{7}}-\frac{5}{x^{3}} \ Which of the following is equivalent to \(y\) ? \begin{align} \begin{array}{|l|l|} \hline \text { A } &amp ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Jan 15
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What is the mathematical definition of "Compound decay or depreciation"?
1 answer 10 views
What is the mathematical definition of "Compound decay or depreciation"?What is the mathematical definition of "Compound decay or depreciation"? ...
by Pieter SIlver Status
(18,455 points)
asked in Economics & Finance Jan 11
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Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)
1 answer 8 views
Evaluate \(\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\)Evaluate \\frac{\pi^{2}}{\sum_{x=1}^{\infty} \frac{1}{x^{2}}}\ ...
by Pieter SIlver Status
(18,455 points)
asked in Mathematics Jan 11
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Proof: \(\frac{n^{2}+5}{n+1} \rightarrow \infty\) as \(n \rightarrow \infty\)
1 answer 24 views
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One possible integrating factor for the following linear differential equation is \[ X \frac{d Y}{d X}+(X+1) Y=3 X^{2} e^{-X} \]
0 answers 42 views
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What is the value of \( \int _ { - \infty } ^ { \infty } | \Psi ( x , t ) | ^ { 2 } d x \)?
1 answer 56 views
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If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).
1 answer 58 views
If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\).(a) If \(f(x)=\frac{4-5 x}{2}\), and \(g(x)=x+6, x \in R\), find \(f \circ g^{-1}\). (b) \(P(x, y)\) divides the line joining \((7,-5)\) and \((-2,7) ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).
1 answer 44 views
Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\).Given that \(f(x)=2 x^{2}-3\) and \(g(x)=x+1\) where \(x \in R\). Find \(g \circ f(x)\). A. \(2\left(x^{2}-1\right)\) B. \(2 x^{2}+4 x-1\) C. \(2 x^{ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Sep 12, 2021
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Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6
1 answer 40 views
Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6Given that \(f(x)=5 x^{2}-4 x+3\), find the coordinates of the point where the gradient is 6 A. \((4,1)\) B. \((4,-2)\) C. \((1,4)\) D. \((1,-2)\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).
1 answer 48 views
Given that \(\frac{6 x+m}{2 x^{2}+7 x-15} \equiv \frac{4}{x+5}-\frac{2}{2 x-3}\), find the value of \(m\).Given that \(\dfrac{6 x+m}{2 x^{2}+7 x-15} \equiv \dfrac{4}{x+5}-\dfrac{2}{2 x-3}\), find the value of \(m\). A. 20 B. 12 C. \(-10\) D. \(-22\) ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Sep 11, 2021
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Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\frac{1}{2}\right)^{x}\).
1 answer 25 views
Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\frac{1}{2}\right)^{x}\).Calculate the \(\mathrm{y}\)-intercept of \(y=\left(\dfrac{1}{2}\right)^{x}\). ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 31, 2021
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SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$
1 answer 33 views
SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$SImplify $\dfrac{1+\cot ^{2} \theta}{\sec ^{2} \theta}$ ...
by Siyavula Bronze Status
(7,026 points)
asked in Mathematics Aug 28, 2021
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Show that the solution of the above differential equation is $$ y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x . $$
0 answers 51 views
Show that the solution of the above differential equation is $$ y=\frac{1}{2}\left(\mathrm{e}^{2 x}+3\right) \cos x . $$$$ \frac{d y}{d x}+y \tan x=\mathrm{e}^{2 x} \cos x, y(0)=2 \text {. } $$ Show that the solution of the above differential equation is $$ y=\frac{1}{2 ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 22, 2021
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Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.
1 answer 26 views
Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$.Find the derivative of $f(x)=3 / x^{4}-2 x^{2}+6 x-7$. ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{5}+5 x^{2}$.
1 answer 42 views
Find the derivative of $f(x)=x^{5}+5 x^{2}$.Find the derivative of $f(x)=x^{5}+5 x^{2}$. ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 14, 2021
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Find the derivative of $f(x)=x^{3}$.
1 answer 41 views
Find the derivative of $f(x)=x^{3}$.Find the derivative of $f(x)=x^{3}$. ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 14, 2021
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Prove that $\log _{2} 3$ and $\sqrt{2}$ are irrational.
1 answer 52 views
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$\lim _{x \rightarrow \pi / 2}(\sec \theta-\tan \theta)=$
1 answer 50 views
$\lim _{x \rightarrow \pi / 2}(\sec \theta-\tan \theta)=$$\lim _{x \rightarrow \pi / 2}(\sec \theta-\tan \theta)=$ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 7, 2021
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Solve $\lim _{x \rightarrow \pi / 4} \dfrac{\sqrt{2} \cos x-1}{\cot x-1}$
1 answer 66 views
Solve $\lim _{x \rightarrow \pi / 4} \dfrac{\sqrt{2} \cos x-1}{\cot x-1}$Solve $\lim _{x \rightarrow \pi / 4} \dfrac{\sqrt{2} \cos x-1}{\cot x-1}$ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 7, 2021
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If $\mathrm{f}(9)=9, \mathrm{f}^{\prime}(9)=4$, then $\lim _{x \rightarrow 9} \dfrac{\sqrt{f(x)}-3}{\sqrt{x}-3}$
1 answer 53 views
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Solve $\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$
1 answer 38 views
Solve $\lim _{x \rightarrow 1} \frac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$Solve $\lim _{x \rightarrow 1} \dfrac{(2 x-3)(\sqrt{x}-1)}{2 x^{2}+x-3}$ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Aug 7, 2021
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Simplify: $\left(4 x^{2}-2 x\right)-\left(-5 x^{2}-8 x\right)$
1 answer 58 views
Simplify: $\left(4 x^{2}-2 x\right)-\left(-5 x^{2}-8 x\right)$Simplify: $\left(4 x^{2}-2 x\right)-\left(-5 x^{2}-8 x\right)$ ...
by MathsGee Platinum
(106,910 points)
asked in Mathematics Jul 16, 2021
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Find the limit $\lim _{x \rightarrow \infty} x+e^{-x}$
1 answer 52 views
Find the limit $\lim _{x \rightarrow \infty} x+e^{-x}$Find the limit $\lim _{x \rightarrow \infty} x+e^{-x}$ ...
by Maths Genie Bronze Status
(5,384 points)
asked in Mathematics Jun 20, 2021
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Find the limit $\lim _{x \rightarrow \infty} \frac{3 x+1}{|x|+2}$
1 answer 81 views
Find the limit $\lim _{x \rightarrow \infty} \frac{3 x+1}{|x|+2}$Find the limit $\lim _{x \rightarrow \infty} \dfrac{3 x+1}{|x|+2}$ ...
by Maths Genie Bronze Status
(5,384 points)
asked in Mathematics Jun 20, 2021
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