Question

Suppose that the cost function for a commodity is

C(x) = 60 + x^{2} dollars.

(a) Find the marginal cost at

x = 3 units.

The cost to produce the 4th unit is predicted to be?

(b) Calculate

C(4) − C(3)

to find the actual cost of producing 1 additional unit. Find answers to questions asked by student like you

Q: Find the derivative of in two ways: first by applying the product rule and second by expanding the p...

A: Applied product rule and found f'(x).

Q: +2 2 1

A: Consider the integral,

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

Q: Calculus Question

A: The given curve is,

Q: if logx y = z, which variable(s) must always be positive

A: logxy = zWith respect to logarithm:The base of a logarithm should always be positive and not equal t...

Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.

Q: A drag racer accelerates at a(t) = 84 ft/s^2. Assum v(0) and s(0) = 0.

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentione...

Q: y′−y=2x+5 y(0)=−6 Given the initial value problem above, determine if y=ex −2x−7 is a solution.

A: The given differential equation is y′−y=2x+5.The solution of the deferential equation is given as, y...

Q: Differentiate the function. s(t) = 7t − 2(3t4 + 4)3

A: The differentiation of the function with respect to t as follows.