Evaluate the integrals.

$\int {e}^{ln\sqrt{x}}dx$

Jerold
2020-10-18
Answered

Evaluate the integrals.

$\int {e}^{ln\sqrt{x}}dx$

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Fatema Sutton

Answered 2020-10-19
Author has **88** answers

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What is the equation of the tangent line of $f\left(x\right)={\mathrm{cos}}^{3}{x}^{2}$ at x=0?

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Suppose you are working for a manufacturing company that is analyzing a newer product using the following:

$A=\pi {r}^{2}$

$\frac{dA}{dt}=2\pi r\left\{\left(\frac{dr}{dt}\right\}\right)$
Explain what the product engineers may be examining/testing/analyzing. Why is the factor $\left\{dr\right\}\left\{dt\right\}$ needed?

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Calculus studies change by analyzing slopes of secant lines over successively
shorter intervals.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

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I need to prove the limit using the definition of limit

$\underset{x\to c}{lim}f(x)=L\leftrightarrow \mathrm{\forall}\u03f5>0\phantom{\rule{0.5cm}{0ex}}\mathrm{\exists}\delta >0:0<|x-c|<\delta \to |f(x)-L|<\u03f5$

$\underset{x\to c}{lim}f(x)=L\leftrightarrow \mathrm{\forall}\u03f5>0\phantom{\rule{0.5cm}{0ex}}\mathrm{\exists}\delta >0:0<|x-c|<\delta \to |f(x)-L|<\u03f5$

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How do you find the equation of the tangent line to the curve $y=\frac{4}{x-1}$ at point of (0,-4)?

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Solve this question

$\underset{x\to \mathrm{\infty}}{lim}{(x+3)}^{1+\frac{1}{x}}-{x}^{1+\frac{1}{x+3}}$

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Find the integral of ${t}^{4}$ with respect to t.