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)

What will be an ideal response?


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)

Mathematics

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Write the system of equations that corresponds to the augmented matrix.

A. x = 0 y = 0 z = 0 B. x = 4 y = 8 z = -4 C. x = 2 y = 4 z = -2 D. x = -2 y = -4 z = -4

Mathematics

Find the domain and range of the inverse of the given function.f(x) = x - 2

A. Domain: (-?, 6) ? (6, ?); range: all real numbers B. Domain and range: all real numbers C. Domain: (-?, 2) ? (2, ?); range: (-?, 6) ? (6, ?) D. Domain and range: (-?, 6) ? (6, ?)

Mathematics

Use the cofunction identities to find an angle ? that makes the statement true.sin (3? - 17°) = cos (? + 43°)

A. ? = 10° B. ? = 6° C. ? = 90° D. ? = 16°

Mathematics

Find the sum of the arithmetic series using a formula.The first 38 terms of the series whose terms are an = 10 - 6n

A. S38 = -3966 B. S38 = -4066 C. S38 = -4266 D. S38 = -8132

Mathematics