olve for the 2nd derivatives and accuracies of f(x) = -0.1x4-0.15x3-0.5x2-0.25x+1.2 at x=0.5 and a step size of h=0.25 Using A. Forward finite-divided difference B. Backward finite-divided difference C. Centered finite-divided difference

A person leans over a cliff that is 2000 feet high and throws a rock vertically upward at a speed of 100 ft/sec. When it falls, it barely misses the cliff and falls on the ground at the base of the cliff. The height of the rock (in feet) above the ground t seconds after it was thrown is given by the function f(t) = -16^2 + v0t + s0 where v0 is the initial velocity of the rock and so is the original height of the rock. Therefore f(t)=-16t^2+100t+2000. Determine when the rock will hit the ground at the base of the cliff. What was the maximum height of the rock?

The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 3000 – 10p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2200 clock radios. (D) Interpret R'(2500) = - 200.00. ...

The price p (in dollars) and the demand x for a particular clock radio are related by the equation x = 5000 – 50p. (A) Express the price p in terms of the demand x, and find the domain of this function. (B) Find the revenue R(x) from the sale of x clock radios. What is the domain of R? (C) Find the marginal revenue at a production level of 2800 clock radios. (D) Interpret R'(3900) = – 56.00.

Find the equation of the line tangent to the graph of  f(x)= x2 over (3x-4)3 at the point where x=4.