Find the area of the shaded region. Use 3.14 to approximate ?, if needed. Round to the nearest tenth if necessary.
A. 162 sq yd
B. 81 sq yd
C. 40.5 sq yd
D. 36 sq yd
Answer: B
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Find all the second order partial derivatives of the given function.f(x, y) = xye-y2
A. 
= 0; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - 2y2)
B. 
= ye-y2; 
= 2xye-y2(y2 - 1); 
= 
= e-y2(1 - y2)
C. 
= ye-y2; 
= 2xye-y2(2y2 - 6); 
= 
= e-y2(1 - 2y2)
D. 
= 0 ; 
= 2xye-y2(2y2 - 3); 
= 
= e-y2(1 - y2)
Solve the problem.A landscaping company sells 30-pound bags of top soil. The actual weight x of a bag, however, may differ from the advertised weight by as much as 0.5 pound. The actual weight of the bag of topsoil, x, can be described by the inequality 
Give the solution of the inequality in interval notation.
A. (-?, 29.5] ? [30.5, ?) B. [-29.5, 30.5] C. (29.5, 30.5) D. [29.5, 30.5]
Provide an appropriate response.Add the fractions and reduce: 
+ 
A. 
B. 
C. 
D. 
Use the square root method to solve the equation. x2 + 2 = 171
A. ±12 B. ±13 C. 13 D. 85.5