The function f is one-to-one. Find its inverse.f(x) = 8x2 - 4, x ? 0
A. f-1(x) =
B. f-1(x) =
C. f-1(x) = -
D. f-1(x) =
Answer: A
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Find all the second order partial derivatives of the given function.f(x, y) = x2 + y - ex+y
A. = 2 + ex+y;
= ex+y;
=
= ex+y
B. = 1 - ex+y;
= - ex+y;
=
= -ex+y
C. = 2 - y2ex+y;
= -x2ex+y;
=
= - y2ex+y
D. = 2 - ex+y;
= - ex+y;
=
= -ex+y
Insert the symbol < or > between the pair of numbers. ___
A. < B. >
Solve the right triangle for all missing sides and angles to the nearest tenth.c = 18B = 16.8°
A. A = 73.2°, a = 5.4, b = 5.2 B. A = 73.2°, a = 17.2, b = 5.2 C. A = 73.2°, a = 5.2, b = 17.2 D. A = 73.2°, a = 17.2, b = 5.4
Solve the problem.The population of a particular city is increasing at a rate proportional to its size. It follows the function P(t) = 1 + ke0.09t where k is a constant and t is the time in years. If the current population is 22,000, in how many years is the population expected to be 55,000?
A. 69 yr B. 10 yr C. 4 yr D. 6 yr