AP Calculus AB 2021 Free-Response Questions 2 a) y=x√√4-x² 6x√√4x² = 0 x=2 b) C(4-2x2) √4-x² X=√√2 √(6x √4-x²) dx du = - 2 xdx 0 For largest Y=1.6 radius =MAX, So set dy 201 Ix 1.6=20 Y=C√2 (√√4-(√2)²) C=0.6. Y=CJZ (√2) Tog O ducxac 4(0)=4 u(2)=0 добили 4 4 3 бикли 383 니 = 241³127 2u =16 1.6 →Y=2C 3. A company designs spinning toys using the family of functions y = cx√√4x², where c is a positive function constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = = cx√4x², for some c. Each spinning toy is in the shape of the solid generated when such a region is revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx√√4 - x² for c = 6.16 in 2 c(4- 2x²) (b) It is known that, for y = cx√4 – x², dy dx √4x² For a particular spinning toy, the radius of the largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy? C=0.6 (c) For another spinning toy, the volume is 27 cubic inches. What is the value of c for this spinning toy? D

AP Calculus AB 2021 Free-Response Questions 2 a) y=x√√4-x² 6x√√4x² = 0 x=2 b) C(4-2x2) √4-x² X=√√2 √(6x √4-x²) dx du = - 2 xdx 0 For largest Y=1.6 radius =MAX, So set dy 201 Ix 1.6=20 Y=C√2 (√√4-(√2)²) C=0.6. Y=CJZ (√2) Tog O ducxac 4(0)=4 u(2)=0 добили 4 4 3 бикли 383 니 = 241³127 2u =16 1.6 →Y=2C 3. A company designs spinning toys using the family of functions y = cx√√4x², where c is a positive function constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = = cx√4x², for some c. Each spinning toy is in the shape of the solid generated when such a region is revolved about the x-axis. Both x and y are measured in inches. (a) Find the area of the region in the first quadrant bounded by the x-axis and the graph of y = cx√√4 - x² for c = 6.16 in 2 c(4- 2x²) (b) It is known that, for y = cx√4 – x², dy dx √4x² For a particular spinning toy, the radius of the largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy? C=0.6 (c) For another spinning toy, the volume is 27 cubic inches. What is the value of c for this spinning toy? D

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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