What is the equation of the surface revolved about the x-axis for z² - xz = ln x + 3x? A. y² + z² = lnx + 3x + xz B. y² + z² = C. y² + z² = In x + 3x + In x + 3x + x² x² + 1 2 | 1 - x 4 2 D. y² + z² = ln x + 3x + x(lnx + 3x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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What is the equation of the surface revolved about the x-axis for z2 – xz = In x + 3x?
A. y² + z² = ln x + 3x + xz
%3D
2
x2
1
B. y? + z2 =
In x + 3x +-+
4
2
x2
In x + 3x +
4
1
C. y² + z² =
-
2
D. y? + z? = In x + 3x + x(ln x + 3x)
A region in the xy-plane has a z-output given by the equation z = In(x²) + 2xy – e*y. Determine the volume between the
xy-plane and below z, for the base at x = 1 to x = 3, traced from the curve y = x² and bounded by the x-axis.
A. 478.9742 cu. units
%3D
C. -183.8485 cu. units
B. 247.8631 cu. units
D. -223.3986 cu. units
Transcribed Image Text:What is the equation of the surface revolved about the x-axis for z2 – xz = In x + 3x? A. y² + z² = ln x + 3x + xz %3D 2 x2 1 B. y? + z2 = In x + 3x +-+ 4 2 x2 In x + 3x + 4 1 C. y² + z² = - 2 D. y? + z? = In x + 3x + x(ln x + 3x) A region in the xy-plane has a z-output given by the equation z = In(x²) + 2xy – e*y. Determine the volume between the xy-plane and below z, for the base at x = 1 to x = 3, traced from the curve y = x² and bounded by the x-axis. A. 478.9742 cu. units %3D C. -183.8485 cu. units B. 247.8631 cu. units D. -223.3986 cu. units
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