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(1) y = 12 – x², y = x² – 6

(1) y = 12 – x², y = x² – 6

Calculus: Early Transcendentals
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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Plane Areas in Rectangular Coordinates

Plane Areas in Polar Coordinates Find the area of the region that lies inside the first curve and outside the second curve. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (7) r² = 8 cos(20),r = 2 Find the area of the region that lies inside both curves. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (8) r = v3 cos(8),r = sin (6) (9) r = sin(26),r = cos (20) Find the area inside the larger loop and outside the smaller loop of the limacon. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (10) r = cos (0) Find the area of the region enclosed by one loop of the curve. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (11) r = 4sin (0) (12) Find the area of the region that lies inside the curver = 2+ cos (26) but outside the curve r = 2+ sin(8). Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too.
Transcribed Image Text:Plane Areas in Polar Coordinates Find the area of the region that lies inside the first curve and outside the second curve. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (7) r² = 8 cos(20),r = 2 Find the area of the region that lies inside both curves. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (8) r = v3 cos(8),r = sin (6) (9) r = sin(26),r = cos (20) Find the area inside the larger loop and outside the smaller loop of the limacon. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (10) r = cos (0) Find the area of the region enclosed by one loop of the curve. Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too. (11) r = 4sin (0) (12) Find the area of the region that lies inside the curver = 2+ cos (26) but outside the curve r = 2+ sin(8). Show your step by step solution (no points will be given if the solution is not complete). Show the table and the graph too.
(1) y = 12 – x2, y = x² – 6 (2) y = sec2 (x), y = 8 cos(x) --- The range for x is from -60° to 60° (3) y = cos(nx),y = 4x2 – 1 (4) x = y? – 1, x = Jy,y = 1 - 3 equations are given here, find the enclosed area of the following equations (5) y =, y = x, x+ y = 3 --- --- 3 equations are given here, find the enclosed area of the following equations (6) The figure below shows a horizontal line y = c intersecting the curve y = 8x – 27x3 Find the number c such that the areas of the shaded regions are equal. %3D y = 8x-27x ^3 y = c.
Transcribed Image Text:(1) y = 12 – x2, y = x² – 6 (2) y = sec2 (x), y = 8 cos(x) --- The range for x is from -60° to 60° (3) y = cos(nx),y = 4x2 – 1 (4) x = y? – 1, x = Jy,y = 1 - 3 equations are given here, find the enclosed area of the following equations (5) y =, y = x, x+ y = 3 --- --- 3 equations are given here, find the enclosed area of the following equations (6) The figure below shows a horizontal line y = c intersecting the curve y = 8x – 27x3 Find the number c such that the areas of the shaded regions are equal. %3D y = 8x-27x ^3 y = c.
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