the function f is defined by f(x)=3(1 x)^0.5cos(pix/6) i need the solution 6.-y%3f(x)3.44%3D243-y = g(x)-1R.2-1-1 22. The function f is defined by f(x} = 3(1 + x)""cos()COSfor 0 Sx£3. The function g is continuous anddecreasing for 0SIS3 with g(3) = 0.%3DThe figure above on the left shows the graphs of f and g and the regions R and S. R is the region bo:unded bythe graph of g and the x- and y-axcs. Region R has arca 3.24125. S is the region bounded by the y-axis andthe graphs of f and g.The figure above on the right shows the graph of y = (g(x)) and the region T. T is the region bounded by%3Dthe graph of y = (g(x)) and thex- and y-axes. Region T has arca 5.32021.%3D(a) Find the arca of region S.(b) Find the volume of the solid generated when region S is revolved about the horizontal line y = -3.(c) Region S is the base of a solid. For this solid, cach cross section perpendicular to the x-axis is a roctanglewhosc height is 7 times the Iength of its basc in region S. Write, but do not evaluate, an integral expressionfor the volume of this solid.

Answered: Image /qna-images/answer/f406d81a-ac2d-41c4-9532-31581434b132.jpg

3- 2- y= g(x)- 1. R S 1 2 y = f(x) 5- 4+ 3+ 2 14 0 T 5) = (8(x))² HI 1 2 3 2. The function f is defined by f(x) = 3(1+x)05cos (2) for 0≤x≤ 3. The function g is continuous and decreasing for 0≤x≤ 3 with g(3) = 0. The figure above on the left shows the graphs of f and g and the regions R and S. R is the region bounded by the graph of g and the x- and y-axes. Region R has arca 3.24125. S is the region bounded by the y-axis and the graphs of f and g. The figure above on the right shows the graph of y = (g(x))2 and the region T. 7' is the region bounded by the graph of y = (g(x))2 and the x- and y-axes. Region 7 has area 5.32021. (a) Find the area of region S. (b) Find the volume of the solid generated when region S is revolved about the horizontal line y = -3. (c) Region S is the base of a solid. For this solid, cach cross section perpendicular to the x-axis is a rectangle whose height is 7 times the length of its base in region S. Write, but do not evaluate, an integral expression for the volume of this solid.

3- 2- y= g(x)- 1. R S 1 2 y = f(x) 5- 4+ 3+ 2 14 0 T 5) = (8(x))² HI 1 2 3 2. The function f is defined by f(x) = 3(1+x)05cos (2) for 0≤x≤ 3. The function g is continuous and decreasing for 0≤x≤ 3 with g(3) = 0. The figure above on the left shows the graphs of f and g and the regions R and S. R is the region bounded by the graph of g and the x- and y-axes. Region R has arca 3.24125. S is the region bounded by the y-axis and the graphs of f and g. The figure above on the right shows the graph of y = (g(x))2 and the region T. 7' is the region bounded by the graph of y = (g(x))2 and the x- and y-axes. Region 7 has area 5.32021. (a) Find the area of region S. (b) Find the volume of the solid generated when region S is revolved about the horizontal line y = -3. (c) Region S is the base of a solid. For this solid, cach cross section perpendicular to the x-axis is a rectangle whose height is 7 times the length of its base in region S. Write, but do not evaluate, an integral expression for the volume of this solid.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 64E

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