Determine whether the improper integral is convergent or divergent, and calculate its value if it is convergent.
Convergent, 1/3
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Solve the formula for the specified variable.P = 2L + 2W; for W
A. W = P - L
B. W = d - 2L
C. W =
D. W =
Solve the problem.A home has a living room that is 15 ft wide and 21 ft long. The height is 9 ft. Bob needs to paint the room. He has to paint the walls and the ceiling. (He will not paint the floor.) There are two 3.0 ft by 5.0 ft windows and a 4.0 ft by 7.0 ft opening into the room that will not be painted. A gallon of paint covers 320 ft2. How many gallons of paint are needed? (All data are accurate to two significant figures.)
A. 2.8 gallons B. 3.0 gallons C. 1.8 gallons D. 3.8 gallons
Reverse the order of integration and then evaluate the integral.
A. e25 - 1
B. 5e25 - 130
C.
D. e25 -
Simplify by removing parentheses and collecting like terms.-6r + 15 - (2r + 7) - 5(7r + 8)
A. 43r + 15 B. -39r - 18 C. -43r + 48 D. -43r - 32