Barrons AP Calculus
(I) (II) (A) (B) (C) (D) (E) , it follows that F(x) > 0 if 4 < x < 6. (ii) is false. Since F ...
Figure N6–15a II is true for similar reasons. III is also true. Verify that the value of the integral g(x) ...
(a) (b) (c) (a) (b) (c) Figure N6–15c Example 33 __ Assume the world use of copper has been increasing at a rate ...
(a) (b) (c) (a) (b) (c) Example 33 is an excellent instance of the FTC: if f = F ′, then gives the tota ...
Figure N6–16 Note that if x = 1 the above definition yields ln 1 = 0, and if 0 < x < 1 ...
Example 36 __ Find L(5), R(5), and T(5) for . SOLUTION: Noting that for n = 5 subintervals on the int ...
Figure N6–17 Example 37 __ Find the average value of f(x) = ln x on the interval [1,4]. SOLUTION:. Example 3 ...
(1) (2) (3) (4) (5) (6) (7) (1) (2) (3) (4) (5) (6) Which graph shows the car with constant acceleration? with th ...
(7) (a) (b) (c) (d) (a) again, since net area is negative only for this car. Example 40 __ Identify each ...
(a) (b) (c) (d) (a) (b) (c) (d) (a) SOLUTIONS: See Figure N6–19b. f(b) − f(a) = length of RQ. . average value ...
(b) (c) (d) (a) (b) (c) (d) estimate uses maximum speeds; it equals or 55 mi for the total distance. The acceleratio ...
(a) (b) (c) (d) Figure N6–21a Figure N6–21b SOLUTIONS: See Figure N6–21b. g(b) is the slope of G(x) at b, the sl ...
(a) (b) (c) (d) (e) (f) (g) (a) Example 43 __ The function f(t) is graphed in Figure N6–22a. Let Figure N6–22a What ...
(b) (c) (d) (e) (f) (g) Since . . For F(x) to equal 1, we need a region under f whose left endpoint ...
Figure N6–22c ...
CHAPTER SUMMARY In this chapter, we have reviewed definite integrals, starting with the Fundamental ...
(A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) PRACTICE EXERCISES Part A. Direction ...
(D) (E) (A) (B) (C) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (D) (E) (A) 6 ln 3 1 −1 2 6 ...
(B) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (C) (D) (E) (A) (B) (D) (E) (C) (D) (E) (C) 0 1 − e e ...
14. (A) (B) (C) (D) (E) 15. (A) (B) (C) (D) (E) 16. (A) (B) (C) (D) (E) 17. (A) (B) (C) (D) (E) If we let x = 2 sin θ, ...
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