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) = 0.15x4 + 0.3x3 - 0.8x2 + 5; (-4, 2)

What will be an ideal response?


local maximum at (0, 5)
local minima at (-2.55, 1.17) and (1.05, 4.65)
increasing on (-2.55, 0) and (1.05, 2)
decreasing on (-4, -2.55) and (0, 1.05)

Mathematics

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Use a calculator to find the acute angle between the planes to the nearest thousandth of a radian.7x - 2y - 9z = 1 and- 5x + 8y - 8z = -1

A. 1.424 rad B. 0.882 rad C. 0.147 rad D. 1.543 rad

Mathematics

Answer the question.If x = cos ?, what is cot ? in terms of x?

A. cot ? = 
B. cot ? = 
C. cot ? = 
D. cot ? = 

Mathematics

Without using a calculator, determine whether the first number is divisible by the second number.Is 62,656,837 divisible by 77?

A. Yes B. No

Mathematics

Provide an appropriate response.A tennis racket company has manufacturing costs given by the equation  C =  where x is the number of rackets manufactured and C is the cost to manufacture each racket. What number of rackets must be manufactured to bring the cost per racket to $4?

A. 40,000 rackets B. 44,000 rackets C. No number of rackets manufactured satisfies this goal. D. Not enough information is given to answer this question.

Mathematics