Find values of x, y, and ? that satisfy the system. These systems arise in certain optimization problems in calculus, and ? is called a Lagrange multiplier.
?
?
?
A. ?x = 24, y = -49, ? = 24
B. ?x = -49, y = 48, ? = -49
C. ?x = 24, y = 48, ? = -49
D. x = 24, y = -49, ? = -49
E. ?x = 24, y = 48, ? = 48
Answer: C
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Solve.Two radio transmitters are located 350 miles apart on a shore and send simultaneous signals to a ship that is 175 miles offshore. The signal from transmitter T arrives at the ship 400 microseconds after the signal from transmitter S. The signals travel at the speed of 0.186 miles per microsecond. Find the equation of the hyperbola with foci S and T on which the ship is located. Let the center point between the transmitters correspond to the point (0, 0) and let the x-axis be oriented such that it contains the two transmitters. (Hint: For any point along the hyperbola, the absolute value of the difference of its distances from the foci is 2a.)
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Subtract.(10x2 + 8) - (-x3 + 7x2 - 9)
A. 11x3 + 15x2 + 9 B. x3 + 17x2 - 1 C. 11x3 + 7x2 + 17 D. x3 + 3x2 + 17
Determine whether the function is a solution of the wave equation.w = ex - ct
A. Yes B. No
Provide an appropriate response.The equation 
has no solution in the interval 
Explain what this tells you about the graph of 
What will be an ideal response?