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Calc B Practice Core

# Calc B Practice Core - centimeters per second The...

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Calculus B Practice Core Names:_______________________________________________________________________ 1) A particle is moving along a line with acceleration Its initial position and velocity are and respectively. Find the position function . A) B) C) D) E) 2) The absolute maximum and the absolute minimum values of the function on the interval are 3) A) B) C) D) E) 4) If , then is equal to

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5) If , then is equal to 6) The following is the graph of the derivative function . Which of the following statements about the function is true? A) has a local minimum at B) has a local maximum at C) is decreasing from to D) is concave up from to E) is increasing from to 7) Let . Then f is decreasing on the interval
8) For the function on the interval , the Mean Value Theorem guarantees that there is some number c such that equals what? 9) Air is inflating a spherical balloon so that its volume is increasing at a rate of 20 cubic

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Unformatted text preview: centimeters per second. The instantaneous rate at which the radius of the balloon is changing when the radius is 2 centimeters is A) B) C) D) E) 10) A farmer has 800 feet of fence and wishes to enclose 3 sides of rectangular region, using a barn as the fourth side. In square feet, what is the maximum area possible for this region? A) B) C) D) E) The figure below shows the graph of . Use it to answer questions (11) and (12). 11) A) B) C) D) E) 12) In which of the following intervals is decreasing? A) B) C) D) E) 13) The value of is A) B) C) D) E) 14) Which of the following is the correct Riemann sum for the integral using subintervals? A) B) C) D) E) 15) is equal to A) B) C) D) E) 16) is equal to A) B) C) D) E) 17) Suppose the following data of is given: 1 2 3 4 5 4 2 1 1 3 The approximation of based on Simpson’s rule with four equal subintervals is A) B) C) D) E) 18) is equal to A) B) C) D) E)...
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