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1. What is the , if
The graph of f′ is shown above. A possible graph of f is (see below):
3. What is ?
4. If x = cos t and y = sin2t, then at is
5. If f (x) is an antiderivative of xe-x2 and f (0) = 1, then f (1) =
The graph of the function f is shown above. Which of the following statements is/are true?
I. f′(0) = 0
II. f has an absolute maximum value on [a, b]
III. f″ < 0 on (0, b)
8. Which of the following series are convergent?
III. 8 + 20 + 50 + 125 + •••
The graph of f is shown above and f is twice differentiable. Which of the following has the smallest value?
10. A particle moves in the xy-plane so that its velocity vector at time t is v(t) = 〈 2 - 3t2, π sin (πt) 〉 and the particle’s position vector at time t = 2 is 〈4, 3〉 . What is the position vector of the particle when t = 3?