use the given position function x(t) to find the velocity and acceleration
(a) x(t)=t^2-5x+3
(b) x(t)=2t^4+t^3+0.5t^2-42
use the total cost function, C(x), and the price function, p(x), where x is the number of the units sold, to find the following:
(A) an expression for revenue
(B) the marginal cost and marginal revenue
(C) the marginal cost to produce the 5th unit
(D) the actual cost to produce the 5th unit
(E) the marginal revenue derived from the sale of the 5th unit
(F) the actual revenue derived from the sale of the 5th unit

Question

use the given position function x(t) to find the velocity and acceleration
(a) x(t)=t^2-5x+3
(b) x(t)=2t^4+t^3+0.5t^2-42
use the total cost function, C(x), and the price function, p(x), where x is the number of the units sold, to find the following:
(A) an expression for revenue
(B) the marginal cost and marginal revenue
(C) the marginal cost to produce the 5th unit 
(D) the actual cost to produce the 5th unit
(E) the marginal revenue derived from the sale of the 5th unit
(F) the actual revenue derived from the sale of the 5th unit

campbell_st · Answer

velocity is the 1st derivative, acceleration is the 2nd derivative.

anonymous · Answer

so do you do velocity and acceleration for both a and b

campbell_st · Answer

yes... 1st derivative for a is  x'(t) = 2t - 5  and x"(t) = 2

same process for (b)

anonymous · Answer

can you help me with the bottom portion its confusing me