Solve the problem.The shape of a parabolic satellite dish can be described by the equation y = 5x2. Where should the microphone be placed?
A.
B. (20, 0)
C.
D.
Answer: C
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Find the derivative of y with respect to x, t, or ?, as appropriate.y = ln 8x2
A.
B.
C.
D.
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 7x + 3yConstraintsx ? 0 0 ? y ? 2 x - y ? 3 x + 2y ? 6
A. Maximum: 20; at (2, 2) B. Maximum: 31; at (4, 1) C. Maximum: 6; at (0, 2) D. Maximum: 21; at (3, 0)
Find the exact function value.cot-1(-1)
A.
B.
C. -
D. -
Find the limit of the sequence or determine that the limit does not exist.an = n
A. e B. e4 C. does not exist D. 1