Solve the equation for the specified variable.P = 
for r
A. r = 
B. r = 
C. r = 
D. r = P - tA
Answer: B
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse having a vertex at (0, -9) and eccentricity equal to 
.
A. 
- 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
- 
= 1
Evaluate the integral.
A. 34 B. 5 C. - 3 D. - 5
Find the function with the given derivative whose graph passes through the point P.f'(x) = e5x, P
A. f(x) = 5e5x + 2
B. f(x) = 
e5x + 
C. f(x) = 
e5x + 2
D. f(x) = e5x + 
State the linear programming problem in mathematical terms, identifying the objective function and the constraints.A firm makes products A and B. Product A takes 2 hours each on machine L and machine M; product B takes 4 hours on L and 2 hours on M. Machine L can be used for 8 hours and M for 7 hours. Profit on product A is $6 and $7 on B. Maximize profit.
A. Maximize 6A + 7B Subject to: 2A + 2B ? 8 2A + 4B ? 7 A, B ? 0. B. Maximize 7A + 6B Subject to: 2A + 2B ? 8 2A + 4B ? 7 A, B ? 0. C. Maximize 6A + 7B Subject to: 2A + 2B ? 8 2A + 4B ? 7 A, B ? 0. D. Maximize 6A + 7B Subject to: 2A + 4B ? 8 2A + 2B ? 7 A, B ? 0.