Barrons AP Calculus
SOLUTION: Use the line tangent to at x = 0; f (0) = 3. , so f ′(0) = 6 ; hence, the line i ...
SOLUTION: See Figure N4–21. Let u, v, and z denote the lengths respectively of AB, AC, and BC. We know that ...
Figure N4–22 Example 36 __ Suppose liquid is flowing into a vessel at a constant rate. The vessel has the sha ...
Figure N4–23 SOLUTION: Liquid flowing in at a constant rate means the change in volume is constant per uni ...
BC ONLY N. SLOPE OF A POLAR CURVE We know that, if a smooth curve is given by the parametric equation ...
(a) (b) then . To find the slope of a polar curve r = f (θ), we must first express the curve in pa ...
Figure N4–24 ...
(a) (b) BC ONLY SOLUTIONS: Use r = 2(1 + cos θ), x = r cos θ, y = r sin θ, and r′ = −2 sin θ; then . A ...
CHAPTER SUMMARY In this chapter we reviewed many applications of derivatives. We’ve seen how to fin ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) PRACTICE EXERCISES Part A. D ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) The minimum valu ...
(D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) 2.14 2.4 If the ...
(B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) −4 4 −2 2 The total number of local maximum and minimum points ...
(E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) For which curve shown in ...
(D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) t < 1 or t > ...
(A) (B) (C) (D) (E) If a particle moves along a line according to the law s = t 5 + 5 t 4 , ...
27. (A) (B) (C) (D) (E) 28. (A) (B) (C) (D) (E) 29. (A) (B) (C) (D) (E) 30. (A) (B) (C) (D) BC ONLY In Questions 27–30, R ...
(E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) 2 A balloon is being filled with helium at ...
34. (A) (C) (D) (E) (B) CHALLENGE The area of the largest rectangle that can be drawn with one side along the ...
35. (A) (B) (C) (D) (E) 36. (A) (E) 37. (A) (C) (E) 38. (A) (B) (D) (E) 39. (B) (C) (D) (B) (D) (C) CHALLENGE A line is dr ...
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