Barrons AP Calculus

(b) (c) (d) AB/BC 5. (b) The slopes are given in the table below. Be sure that the segments you draw ...

AB/BC 6. When h = 80, your distance to the jumper is 100 ft, as shown. Then (a) the negative of the a ...

(b) (c) (d) is represented by the shaded triangles in the figure. because the regions above and below th ...

(e) The minimum value of F must occur at one of the endpoints. Since F(−2) = −6 and F(6) = −3, the minim ...

1. 2. 3. 4. 5. 6. 7. Part A (D) will increase above the half-full level (that is, the height of the water ...

yields a local maximum. Note that f(e) = . (D) Since is always positive, there are n ...

(B) In the graph for the question 10, W(t), the water level at time t, is a cosine functi ...

(D) . See the figure below. (D) Note that . (B) Note that (0, 0) is on the graph, as are (1, ...

(D). (D) In (D), f(x) is not defined at x = 0. Verify that each of the ot ...

(C) As seen from the figure, , where y = 2r, (C) From the figure below, . (A) Since the degree ...

(A) We see from the figure that ΔA = (y 2 − y 1 )Δx; (A) Let u = x^2 + 2. Then and (A) F ...

31. 32. 33. 34. 35. 36. Part B (B) Since , then . (C) The initial condition H(0) = 120 shows c = 50. Evalua ...

(C) Use disks: ΔV = πr^2 Δy = πx^2 Δy, where x = ln y. Use your calculator to evaluate ...

(C) In the graph below, the first rectangle shows 2 tickets sold per minute for 15 min, or 30 ticke ...

43. 44. 45. (C) Counterexamples are, respectively, for (A), f(x) = x^3 , c = 0; for (B), f(x) = x^4 , ...

AB 1. (b) (c) (d) AB/BC 2. (b) Part A (a) Since x^2 y − 3y^2 = 48, At (5,3), so the equation of the ta ...

(c) (d) Hence . For , use your calculator to evaluate F ′(16) ≈ −0.749. After 16 hr, the river depth is dro ...

AB/BC 3. (b) (c) AB/BC 4. Part B (a) ΔA = (g(x) − f(x) ) Δx, so: Let h = the hypotenuse of an isosceles ...

(b) (c) The average acceleration is . Acceleration . when t = 3 sec. Since Q’s acceleration, for all t ...

AB 5. (b) AB 6. (a) Using the differential equation, evaluate the derivative at each point, then sketch a s ...