Provide an appropriate response.Find the value(s) of t corresponding to the extrema of f(x, y, z) = sin(x2 + y2)cos(z) subject to the constraints x2 + y2 = 3t, 
and z = 
. Classify each extremum as a minimum or maximum. (Hint: w = f(x, y, z) is a differentiable function of t.)
A. t = - 
, maximum
B. t = 
, minimum; t = - 
, maximum
C. t = 
, minimum; t = 0, maximum
D. t = 
, minimum
Answer: D
Mathematics
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Provide an appropriate response.If y varies inversely as the 4th power of x and y = 8 when x = -2, what is y when x = 0.5?
A. -2048 B. 128 C. 2048 D. 8
Mathematics
Simplify the complex fraction.
A. x + 9 B. -(x - 9) C. -(x + 9) D. 9x(x + 9)
Mathematics
The equation in this problem leads to a linear equation. Solve for 
. Because the solution to the linear equation may not be a solution to the original equation, be sure to check the solution in the original equation.
A. x = 4
B. x = 8
C. x =
D. x =
E. no solution
Mathematics
Simplify the complex fraction.
a. 
b. 
c. 
d. 
e. 
Mathematics