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Question: Use substitution \(y={{x}^{r}}\) to find the general solution to the given equation for \(x>0\) : \[\frac{{{d}^{2}}y}{d{{x}^{2}}}=\frac{5}{x}\frac{dy}{dx}-\frac{13}{{{x}^{2}}}y\] Solution: The solution consists of 122 words (2 pages)Deliverables: Word Document

Question: The plane region R is bounded by the graphs of \(y=x\) and \(y={{x}^{2}}\). Find the volume over R and beneath the graph of \(f(x,y)=x+y\). Solution: The solution consists of…

Question: The distance, d, in kilometers, that a person can see to the horizon from an altitude of h meters is modeled by the formula d = 3.5 \[\sqrt{h}\] You…

Question: Sketch the graph of \[f\left( x \right)=\left\{ \begin{align} & 3x-1,\text{ if }x<2 \\ & x+2,\,\,\,\text{if }x\ge 2 \\ \end{align} \right.\] Solution: The solution consists of 27 words (1 page)Deliverables:…

Question: Plot the following equations: Y = 2X^2 Y = 2X^2 + 3 Y = 2X^2 + 3X this will show you how the shape of the graphs change as…

Question: Problem 4. Calculate the derivative of the function from the definition only, using limits. Show your work. \[f(x)={{x}^{4}}\] Solution: The solution consists of 46 words (1 page)Deliverables: Word Document

Question: Find the differential of the function y = x SQRT(9-x) Solution: The solution consists of 36 words (1 page)Deliverables: Word Document

Question: State both definitions of derivative of a function \(f\left( x \right)\) at a point c Solution: The solution consists of 41 words (1 page)Deliverables: Word Document

Question: Find the distance from the origin to the line \[x=1+t,\,\,y=2-t,\,\,z=-1+2t\] Solution: The solution consists of 66 words (1 page)Deliverables: Word Document

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