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### Question #2004653: Calculus, Integration by substitution and change of variables

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 #2004680: Derivatives: General Problems

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 #2004727: Other Calculus Problems

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 #2004856: Other Calculus Problems

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 #2005122: Other Calculus Problems

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 #2005371: General Integration Problems

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 #2005554: General Differentiation

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 #2005601: General Differentiation

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 #2005777: Derivatives: General Problems

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