Simplify.
5
A. 
B. 
C. 
D. 
Answer: C
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Solve the problem.Suppose that R ={(x, y): 0 ? x ? 2, 0 ? y ? 5},R1 = {(x, y): 0 ? x ? 2, 0 ? y ? 4}, andR2 = {(x, y): 0 ? x ? 2, 4 ? y ? 5}. Suppose, in addition, that
dA = 5, 
dA = 5, and 
dA = 2.Use the properties of integrals to evaluate 
dA.
A. 16 B. 70 C. 30 D. 11
Identify the type of surface represented by the given equation.
- 
= 
A. Paraboloid
B. Parabolic cylinder
C. Hyperbolic paraboloid
D.
| Ellipsoid |
Match the correct function to the graph.
A. y = -2x2 + 1 B. y = -2x2 - 1 C. y = -2x2 D. y = 1 - x2
Provide an appropriate response.Suppose that you have 24 feet of fencing to fence in a rectangular or square garden. How many different rectangles and squares are possible if you use all 24 feet and you consider whole-number measurements only? In your count, assume that a rectangle of width a and length b is not distinguishable from one of width b and length a. Explain your answer.
What will be an ideal response?