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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Find the extreme values of the function subject to the given constraint.      

A. Maximum: 30 at    minimum: 24 at  
B. Maximum: none; minimum: 24 at  
C. Maximum: none; minimum: 30 at  
D. Maximum: 51 at    minimum: 30 at  

Mathematics

Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form.(0, 3); m = - 

A. y = - x - 3
B. y = - x + 
C. y = - x + 3
D. y = - x + 3

Mathematics

Graph the inequality.x - 2y < 0

A.

B.

C.

D.

Mathematics

Factor the difference of squares.25rs2 - 144rt4

A. r(5s + 12t2)(5s - 12t2) B. (5rs - 12rt2)2 C. (25rs + rt2)(s - 144t2) D. r(5s + 12t2)2

Mathematics