Calculus Practice Questions - Page 634

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• solve the initial value problem.\n$\frac{ds}{dt}=cos t - sin t, s(\frac{pi}{2}) = 4$

• sketch the graph and show all local extrema and inflection points.\ny = x + sin x, 0 ≤ x ≤ 2π

• the graph of f is shown. evaluate each integral by interpreting it in terms of areas.\n(a) $int_{0}^...

• find the derivative of the function.\nf(x)=(4x + 6)^2\n\na. f(x)=16x + 24\nb. f(x)=16x + 36\nc. f(x)...

• find the derivative.\n$\frac{(2x - 2)(2x + 4)}{x + 4}$\n\na. $\frac{12x^{2}+40x + 8}{(x + 4)^{2}}$\n...

• b. $y = 3sin(x+\frac{pi}{2})$

• find the equation of the graph given below.

• the graph of $f(x)$ is shown below. evaluate $int_{-11}^{9} f(x) dx$ by interpreting it in terms of ...

• suppose that the function (f) is defined, for all real numbers, as follows.\nf(x)=\begin{cases}2x - ...

• for the function (f) whose graph is given, state the value of each quantity, if it exists. (if an an...

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