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Home AP Calculus BC Diagnostics Diagnostic Test 4

Diagnostic Test 4

Question 1 of 80

Find the length of the parametric curve

$\vec{r}(t)= \left< \frac{\sqrt{10}}{2}t^2, \frac{1}{3}t^3,5t+14\right>$

for $0\leq t \leq 2$ .

Evaluate the limit using one of the definitions of a derivative.

$\lim_{x \rightarrow 1} \frac{x^{49}-1}{x-1}$

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