Evaluate the integral.
dx
A. 43/2 + C
B. 3/2 + C
C. - -1/2 + C
D. 3/2 + C
Answer: D
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Solve the problem.A certain country's Consumer Price Index is approximated by A(t) = 100e0.024t, where t represents the number of years. Use the function to determine the year in which costs will be 50% higher than in year 0.
A. year 13 B. year 19 C. year 17 D. year 15
Provide an appropriate response.Use the trapezoidal rule with n = 4 to estimate the value of
Fill in the blank(s) with the appropriate word(s).
Write the conjugate of the complex number z. Then find z
.z = -7 - i
A. = -7 + i, z
= -7
B. = -7 + i, z
= -48
C. = -7 + i, z
= 49
D. = -7 + i, z
= 50
Solve the problem.Sue wants to put a rectangular garden on her property using 88 meters of fencing. There is a river that runs through her property so she decides to increase the size of the garden by using the river as one side of the rectangle. (Fencing is then needed only on the other three sides.) Let x represent the length of the side of the rectangle along the river. Express the garden's area as a function of x.
A. A(x) = 44x - x2
B. A(x) = 43x - x2
C. A(x) = 44x2 - x
D. A(x) = 45x - 2x2