Provide an appropriate response.If the position of a particle moving along the x-axis at a given time is given by x(t) = 5t + 11, find all the higher-order derivatives of this function.

What will be an ideal response?


x'(t) = 5, x''(t) = 0. All successive derivatives are also 0.

Mathematics

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Solve.A stock worth $157 per share on July 12 dropped to $69 per share on July 31 of the same year. Find how much it lost in value from July 12th to the 31st.

A. $88 B. $98 C. $92 D. $89

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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = x2 between x = 3 and x = 7 using a left sum with four rectangles of equal width.

A. 126 B. 86 C. 105 D. 117

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Evaluate. Simplify and adjust the mixed number if the answer contains an improper fraction.5 + 6

A. 11
B. 12
C. 11
D. 11

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Sketch the graph of the function and its inverse on the same coordinate axes.f(x) = 2 - x2, x ? 0

A.

B.

C.

D.

Mathematics