Find the extreme values of the function subject to the given constraint.
A. Maximum: 75 at 
minimum: -75 at 
B. Maximum: 75 at 
minimum: 0 at 
C. Maximum: none; minimum: 0 at 
D. Maximum: none; minimum: 75 at 
Answer: D
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Let p represent a true statement, while q and r represent false statements. Find the truth value of the compound statement.~(p ? q) ? (r ? ~q)
A. False B. True
Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = x
, P0(-2, -1, -1)
A. 
B. 
C. 
D. 
Find the value of the indicated trigonometric function of the angle ? in the figure. Give an exact answer with a rational denominator.
Find sin ?.
A. sin ? = 
B. sin ? = 
C. sin ? = 
D. sin ? = 
Use the fundamental identities to simplify the expression.cos ? - cos ? sin2?
A. sin ? B. tan2? C. cos3? D. sec2?