Find the exact value under the given conditions.sin ? = 
, 
< ? < ?; cos ? = 
, 0 < ? < 
Find sin (? - ?).
A. - 
B. 
C. 
D. 
Answer: B
Mathematics
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Find the absolute maxima and minima of the function on the given domain.
on the trapezoidal region with vertices 
and 
A. Absolute maximum: 10 at 
absolute minimum: 0 at 
B. Absolute maximum: 10 at 
absolute minimum: 7 at 
C. Absolute maximum: 6 at 
absolute minimum: 0 at 
D. Absolute maximum: 14 at 
absolute minimum: 7 at 
Mathematics
Compute the gradient of the function at the given point.
A. - 
i + 
j
B. - 
i - 
j
C. - 
i + 
j
D. - 
i - 
j
Mathematics
Solve the problem.A solid right circular cylinder is bounded by the cylinder r = 2 and the planes z = 0 and z = 3. Find the moment of inertia about the z-axis if the density is ? = 4z.
A. 288? B. 36? C. 144? D. 96?
Mathematics
Multiply and simplify.
? 
A. 
B. 
C. 
D. 
Mathematics