The graphs of z = 8, y = h(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A- (8,4), B- (8,8), C (4,7), and D - (1,0). Suppose the portion of Region One in the First Quadrant is revolved around the z-axis. Select the expression(s) needed to find the volume of the solid of revolution formed when the region is revolved around the z-axis. * 9(2) dz ©**(g(=))² dz of "h(z) dz ©fx(h(z))³² dz f*(h(z))² dz **(9(2))² dx
The graphs of z = 8, y = h(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to scale. Region One The points labeled are A- (8,4), B- (8,8), C (4,7), and D - (1,0). Suppose the portion of Region One in the First Quadrant is revolved around the z-axis. Select the expression(s) needed to find the volume of the solid of revolution formed when the region is revolved around the z-axis. * 9(2) dz ©**(g(=))² dz of "h(z) dz ©fx(h(z))³² dz f*(h(z))² dz **(9(2))² dx
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:The graphs of -8, y = h(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to scale.
Region One
The points labeled are 4 = (8,4), B = (8,8), C = (4,7), and D = (1, 0).
Suppose the portion of Region One in the First Quadrant is revolved around the z-axis.
Select the expression(s) needed to find the volume of the solid of revolution formed when the region is
revolved around the z-axis.
g(x)
©f*9(2) dz
of**(g(z))² dz
ofh(z) d
© f*x(h(2))² dx
*7(h(z))² dz
f₁** (9(2))²³ dz
Expert Solution

Step 1
Given functions are
x = 8 , y = h(x)(solid line) , y = g(x) ( dashed line ).
and the points are
A(8,4) , B(8,8) , C(4,7) , D(1,0).
we have to find out the integral for the region when revolved around the x axis.
Step by step
Solved in 2 steps

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

