please answer! Let p(r) ar r, where a is constant and a 0 Find the local maxima

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please answer!

Let p(r) ar r, where a is constant and a 0 Find the local maxima and minima of p. Enter your maxima and minima as comma-separated xvalue,classification pairs. For example, if you found that -2 was a local minimum and r -3 was a local r maximum, you should enter (-2,min), (3,max). If there were no maximum, you must drop the parentheses and enter -2,min maxima and minima: What effect does increasing the value o a have on the T-position of the maximum(s) you found? (Ente left, none or right if it moves left, has no effect, or moves right) What effect does increasing the value of a have on the r-position of the minimu you found? (Enter left, none or right if it moves left, has no effect or moves right.) What effect does increasing the value of a have on the y-coordinate of the maximum(s) you found? (Enter up, none or down if it moves up, has no effect, or moves down.) or moves down.) What effect does increasing the value of a have on the y-coordinate of the minimum (s) u found? (Enter up, none or down if it moves up, h no effect

Explanation / Answer

p(x) = x(a*x^2-1)

p` = 3ax^2 - 1 =0

x = +- sqrt(1/3a)

max(- sqrt(1/3a), 2/3*sqrt(1/3a))

min ( sqrt(1/3a), - 2/3*sqrt(1/3a)))

if a is increased max will move towards LEFT.

if a is increased max will move towards RIGHT.

if a is increased max will move towards DOWN

if a is increased max will move towards UP

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