PART B PLEASE AP® Calculus AB Free-Response Questions3. A company designs spinning toys using the family of functions y = cxV4 - x', where c is a positiveconstant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph ofy = cxy4 x, for some c. Each spinning toy is in the shape of the solid generated when such a region is2.%3Drevolved 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 – ?for c = 6.2.(b) It is known that, for y = cxv4 xFor a particular spinning toy, the radius of the%Dxp4 x2largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy?(c) For another spinning toy, the volume is 2n cubic inches. What is the value of c for this spinning toy?Write your responses to this question only on the designated pages in the separate Free Responsebooklet. Write your solution to each part in the space provided for that part.

Answered: Image /qna-images/answer/5e2c540b-a3b4-4064-87bd-2d1b93be547d.jpg

3. A company designs spinning toys using the family of functions y = cxv4 x', where c is a positive %3D constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = cxy4 x, for some c. Each spinning toy is in the shape of the solid generated when such a region is %3D 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 = cxV4 - x for c = 6. (4 -2:) (b) It is anown that, for y = exV4 – x² For a particular spinning toy, the radius of the V4 - x? xp largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy? (c) For another spinning toy, the volume is 2n cubic inches. What is the value of c for this spinning toy?

3. A company designs spinning toys using the family of functions y = cxv4 x', where c is a positive %3D constant. The figure above shows the region in the first quadrant bounded by the x-axis and the graph of y = cxy4 x, for some c. Each spinning toy is in the shape of the solid generated when such a region is %3D 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 = cxV4 - x for c = 6. (4 -2:) (b) It is anown that, for y = exV4 – x² For a particular spinning toy, the radius of the V4 - x? xp largest cross-sectional circular slice is 1.2 inches. What is the value of c for this spinning toy? (c) For another spinning toy, the volume is 2n cubic inches. What is the value of c for this spinning toy?

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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