Establish the identity.
- 
= 
What will be an ideal response?
- 
= 
= 
=
.
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Solve the problem.Find the center of mass of the hemisphere of constant density bounded 
and the 
A. 
= 0, 
= 0, 
= 4
B. 
= 0, 
= 0, 
= 2
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Subtract.(6x2y - 3xy - 5xy2) - (5xy + 4xy2 + 4x2y)
A. 2x2y + 9xy2 + 2xy B. 2x2y + 9xy2 - 8xy C. 2x2y - 9xy2 - 8xy D. -2x2y - 5xy2 - 8xy
If a triangle has vertices of 
and 
then the area of the triangle is given by 
Find the area of the triangle with vertices at the given points.(1, -3) (1, 1) (4, 3)
A. 6 B. 2.5 C. 12 D. 5
Let 
and compute the Riemann sum of f over the interval 
, using
?
Two subintervals of equal length (
).
?
Five subintervals of equal length (
).
?
Ten subintervals of equal length (
).
?
In each case, choose the representative points to be the midpoints of the subintervals.
?
A. 87.0625 sq units; 87.43 sq units; 87.4825 sq units;
B. 87.0625 sq units; 87.4825 sq units; 87.43 sq units;
C. 87.4825 sq units; 87.43 sq units; 87.0625 sq units;
D. 87.43 sq units; 87.4825 sq units; 87.0625 sq units;