Solve the problem.Let R ={(x, y): 1 ? x < 6, 0 ? y < 8}. Evaluate 
dA, where f is the function 
A. 315
B. 40
C. 291
D. 507
Answer: C
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Solve the given differential equation. (The form of yp is given.)D2y + 49y = 9 sin 7x (Let yp = Ax sin 7x + Bx cos 7x.)
A. y = c1 sin 7x + c2 cos 7x + 
x cos 7x
B. y = c1 sin 7x + c2 cos 7x - 
x sin 7x + 
x cos 7x
C. y = c1 sin 7x + c2 cos 7x - 
x sin 7x
D. y = c1 sin 7x + c2 cos 7x - 
x cos 7x
Solve the triangle. If there is more than one triangle with the given parts, give both solutions.? = 12.20°b = 18.14a = 42.92
A. No solution B. ? = 30.00°, ? = 137.8°, c = 57.66; ?' = 150.00°, ?' = 17.80°, c' = 26.24 C. ? = 150.00°, ? = 17.80°, c = 26.24 D. ? = 30.00°, ? = 137.8°, c = 57.66
Indicate whether the equation has no solution or is true for all real numbers. If neither is the case, solve for the variable.10x - 2(3 + 5x) = -6
A. 
B. ?
C. 
D. {x|x is a real number}
Solve the variation problem.The weight of a liquid varies directly as its volume. If the weight of the liquid in a cubical container 3 cm on a side is 81 g, find the weight of the liquid in a cubical container 5 cm on a side.
A. 15 g B. 375 g C. 110 g D. 125 g