Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x5 - x2; (-2, 2)
A. local maximum at (0, 0)
local minimum at (0.74, -0.33)
increasing on [0, 0.74]
decreasing on [-2, 0] and [0.74, 2]
B. local maximum at (0, 0)
local minimum at (0.74, -0.33)
increasing on [-2, 0] and [0.74, 2]
decreasing on [0, 0.74]
C. local maximum at (0.74, -0.33)
local minimum at (0, 0)
increasing on [0, 0.74]
decreasing on [-2, 0] and [0.74, 2]
D. local maximum at (0.74, -0.33)
local minimum at (0, 0)
increasing on [-2, 0] and [0.74, 2]
decreasing on [0, 0.74]
Answer: B
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Evaluate the integral by making a substitution (possibly trigonometric) and then applying a reduction formula.
A. [csc(et - 2) cot(et - 2) + ln
] + C
B. [csc(et - 2) cot(et - 2) - ln
] + C
C. - [csc(et - 2) cot(et - 2) + ln
] + C
D. - [csc(et - 2) cot(et - 2) - ln
] + C
Find the general form of the equation for the line with the given properties.Slope = - ; containing the point (2, 3)
A. 4x + 3y = -18 B. 3x + 4y = 18 C. 3x - 4y = 18 D. 3x + 4y = -18
Give the exact value of the expression.arccos
A.
B.
C.
D.
Add or subtract as indicated. Simplify the result whenever possible. Write any answer that contains an improper fraction as a mixed number. +
-
A. 1
B.
C.
D.