Evaluate the integral.

A. -2 ln 2
B. 2 ln 2
C. 4 ln 2
D. 2 ln 3


Answer: B

Mathematics

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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).

A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.

Mathematics

Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = (-3x + 11)6

A. y = 6u + 11; u = x6 = -18x5
B. y = u6; u = -3x + 11;  = -18(-3x + 11)5
C. y = u6; u = -3x + 11;  = 6(-3x + 11)5
D. y = u6; u = -3x + 11;  = -3(-3x + 11)6

Mathematics

Solve the equation.4x - 4 = 12

A. 7 B. 4 C. 12 D. 16

Mathematics

Solve the system of linear equations and check any solution algebraically. ? ?

A. ?
B. ?
C. ?
D. ?
E. ?

Mathematics