Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -x2 + 14x + 32
A. Increasing on (-?, 7); decreasing on (7, ?)
B. Increasing on (- 7, ?); decreasing on (-?, - 7)
C. Increasing on (-?, - 7); decreasing on (- 7, ?)
D. Increasing on (7, ?); decreasing on (-?, 7)
Answer: A
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Solve the given differential equation.y''' + 3y'' + 25y' + 75y = 0
A. y = C1e-4x + (C2 + C3x)e-7x B. y = C1e-4x + C2e7x + C3e-7x C. y = C1e-4x + (C2 cos 7x + C3 sin 7x) D. y =(C1 + C2x)e-4x + C3e7x
Find the location of the indicated absolute extremum for the function.Maximum
A. x = 0 B. No maximum C. x = 2 D. x = -1
Determine whether the relation represents a function. If it is a function, state the domain and range.{(-2, 5), (-1, 2), (0, 1), (1, 2), (3, 10)}
A. function domain: {5, 2, 1, 10} range: {-2, -1, 0, 1, 3} B. function domain: {-2, -1, 0, 1, 3} range: {5, 2, 1, 10} C. not a function
Write a percent proportion that could be used to answer the question. Do not solve. What percent of 63 calories is 16 calories?
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