Graph the function and its inverse using the same set of axes. Use any method.f(x) = ex; f-1(x) = ln x
A.
B.
C.
D.
Answer: C
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Find the center of mass of a thin plate covering the given region with the given density function.The region enclosed by the parabolas y = 32 - x2 and y = x2, with density ?(x) = x2
A. = 0,
= 16
B. = 0,
= 32
C. = 0,
=
D. = 16,
= 0
Use a calculator to find the approximate value of the expression rounded to two decimal places.cos 8
A. 0.99 B. 0.15 C. -0.99 D. -0.15
Solve the system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
A. x = 0, y = 1, z = 2; (0, 1, 2) B. x = 2, y = 1, z = 0; (2, 1, 0) C. x = 2, y = 0, z = 1; (2, 0, 1) D. x = 0, y = 2, z = 1; (0, 2, 1)
Solve the problem.The material for the bottom of a rectangular box costs three times as much per square foot as the material for the sides and top. Find the greatest capacity such a box can have if the total amount of money available for material is $12.
A. 2 ft3 B. 1 ft3 C. 4 ft3 D. 3 ft3