locate the critical points and determine the maxima and minima of a^3y=x^2(2a^2-x^2)

Q: The projected population of a small city t years from now is given by P(t) = 40t^3 - 270t^2 + 18000.…

A: The projected population after t years is given by,P(t)=40t3-270t2+18000

Q: Find the Maximum height of h(x) = -4x^2 + 320x + 100.

A: The given height function is h(x)=-4x2+320x+100

Q: Find the extreme values and determine whether they maximum or minimum  z=x^2+xy+2y^2+3

A:

Q: ind the maximum of all the possible value

A:

Q: points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each…

A: Introduction: It denotes a change in function from concave down to concave up or vice versa. In…

Q: Consider the quadratic function f(x) = −(x^2 + 2x−8). turning point?

A: Given,

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: F(x)%= x*-10x² +9

A: topic - absolute minimum and maximum value of a function

Q: Find all maxima and minima f(x)= 0.9x^2 -6x-1 on horizontal span of 0 to 10

A: Given function is: fx=0.9x2-6x-1. We have to find all maxima and minima of f(x) on horizontal span…