Use spherical coordinates to find the moment of inertia of the solid homogeneous hemisphere of radius 5 and density 1 about a diameter of its base. Select the correct answer.

a. 205.13
b. 2616.67
c. 195.22
d. 213.5
e. 198.08


b. 2616.67

Mathematics

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Solve the problem.A land developer wants to develop 8 acres of land. Each lot in the development is to be  of an acre. How many lots will the land developer have in the 8 acres?

A.  lot
B. 1 lots
C. 2 lot(s)
D. 28 lots

Mathematics

Provide an appropriate response.Which order of differentiation will calculate fxy faster, x first or y first?f(x, y) = y ln(x) - 2 sin(x)

A. x first B. y first

Mathematics

Find all of the real and imaginary zeros for the polynomial function.f(x) = x4 + 15x3 + 49x2 - 15x - 50

A. -1, 1, 5, 10 B. -10, -5, -1, 1 C. -5, -1, 1, 10 D. -10, -5, 1, 1

Mathematics

Graph the function, showing all asymptotes (those that do not correspond to an axis) as dashed lines. List the x- and y-intercepts.f(x) = 

A. No x-intercepts, y-intercept: (0, -4) ;

B. No x-intercepts, y-intercept: (0, -4) ;

C. x-intercepts: (-1, 0) and (4, 0) , 
y-intercept:  ;

D. x-intercepts: (1, 0) and (-4, 0) , 
y-intercept:  ;

Mathematics