Destiny Padgett

Let f(x)=e^(3x)-kx, for k>0. Using a calculator or computer sketch the graph of f for k=1/9,1/6,1/3,1/2,1,2,4. Describe what happens as k changes. 1.f(x) has a local minimum. Find the location of the minimum. 2. Find the y-coordinate of the minimum. 3. Fi...

Find a formula for a curve of the form y=e−(x−a)2/b for b>0 with a local maximum at x=6 and points of inflection at x=3 and x=9.

Let f(x)={−2x2+7x, for x<0 8x2−5, for x⩾0. According to the definition of the derivative, to compute f′(0), we need to compute the left-hand limit lim= x→0− lim= x→0+

How would you go about answering this? If x and y are both positive evaluate A.) lim= (ln(0.8x^p+2.0y^p))/p p->0 B.) lim= (0.8x^p+2.0y^p)^(1/p) p->0

How would you go about answering this question? Consider the following points, (0,52),(2,51), (4,48), (6,42), (8,29), (10,3) Use this to estimate the integral [0,10] ∫f(x)dx=

For the second derivative, I got 9e^(3x) but it says its wrong. Am I missing a step?

Find a formula for a curve of the form y=e−(x−a)2/b for b>0 with a local maximum at x=6 and points of inflection at x=3 and x=9.