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- Find a cubic function f(x) = ax3 + bx2 +cx +d thathas a local maximum value of 3 at x =-2 and a localminimum value of 0 at x =1 .In the function: f(x)=(12−3x)e^x What are the critical numbers of the function? When is the function increasing and decreasing in interval notation? What are the x-coordinates of all local minimums and maximums?Find the absolute maximum and absolute minimum of g(t) = t(square root of 4-t) on the interval (0,3)
- If f (x) - 2x - kex has a relative maximum at x = -2, then the value of hisApply Newton’s method to estimate the solution of x3 − x − 1 = 0 by taking x1 = 1 and finding the least n such that xn and xn+1 agree to three digits after the decimal point.Use the Intermediate Value Theorem to show that there is aroot of the given equation in the specified interval (0,1) e^x=3-2x