Solve the given inequality (a related function is graphed).x4 + 5x2 - 36 ? 6x3 - 24x
x-intercepts: (-2, 0), (2, 0), (3, 0)
A. (-?, -2) ? (2, 3) ? (3, ?)
B. (-?, -2] ? (2, 3) ? (3, ?)
C. (-?, -2] ? [2, ?)
D. (-?, -2] ? [2, 3]
Answer: C
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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = csc(cot x)
A. y = csc u; u = cot x; = csc3 x cot x
B. y = cot u; u = csc x; = csc2(csc x) csc x cot x
C. y = csc u; u = cot x; = - csc(cot x) cot(cot x)
D. y = csc u; u = cot x; = csc(cot x) cot(cot x) csc2 x
Solve the problem.A lake is stocked with 552 fish of a new variety. The size of the lake, the availability of food, and the number of other fish restrict growth in the lake to a limiting value of 3450. The population of fish in the lake after time t, in months, is given by the function, P(t) = . Find the population after 20 month(s).
A. 3453 B. 3433 C. 3458 D. 3443
Write an equation for the graph.
A. y = -1 B. x = y - 1 C. y = x - 1 D. x = -1
Solve the problem.Consider the formula T = 591 - 76 cos 2?, where ? is measured in degrees. To the nearest hundredth of a degree, what is the smallest positive value of ? for which the value of T will be 640?
A. 62.07° B. 133.14° C. 130.14° D. 65.07°