Determine whether the integral converges or diverges.
A. diverges, ?
for x ? 1,
diverges
B. diverges, ?
for x ? 1,
diverges
C. converges, ?
for x ? 1,
converges
D. converges, ?
for x ? 1,
converges
Answer: D
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Solve the system of equations by using an inverse matrix. x + 3y = -8 14x + 4y = 2
A. (3, -1) B. (-1, 3) C. (1, -3) D. (-3, 1)
Find the inverse function of f. State the domain and range of f.f(x) =
A. f-1(x) = ; domain of f: {
x ? -5}; range of f: {
y ? - 3}
B. f-1(x) = ; domain of f: {
x ? -5}; range of f: {
y ? 3}
C. f-1(x) = ; domain of f: {
x ? -5}; range of f: {
y ? 5}
D. f-1(x) = ; domain of f: {
x ? -5}; range of f: {
y ?
}
It has been estimated that a certain stream can support 55,000 fish if it is pollution-free. It has further been estimated that for each ton of pollutants in the stream, 1,300 fewer fish can be supported. Assuming the relationship is linear, write the equation that gives the population of fish p in terms of the tons of pollutants x. ?
A.
B.
C.
D.
E.
Multiply.(-0.04)2
A. 0.016 B. 0.0016 C. 0.16 D. -0.0016