Calculus Answers

A computer can sort x objects in t seconds, as modeled by the function

below:

1 = 0.003x² + 0.0013

How many objects are required to keep the computer busy for exactly 7

seconds?

Round to the nearest whole object

It is known by Trade Kings that in the manufacturing of Chelsea Biscuits, fixed costs per month are K15,000. If the marginal cost is F(Q) = 0.000204Q² - 0.046Q + 6 when Q = 25 . Find the total cost function. 

The demand equation for a product is

Q= "10*(100-P)^1\/2"

Calculate the consumers’ surplus under equilibrium which occurs at a market price of K84. 

4)

Find the area of the region bounded by the curves

Y = X² - 4X + 4 and Y = 10 - X²

From X = 10 and X = 4

Evaluate the integral x / x+1 dx 

f(x)= 3(x-1)(x+2) / (x-4) (x+2)

c) State & plot removable discontinuities

d) State the y intercepts

f(x) = 3(x-1) (x+2) / (x-4) (x+2)

a) state vertical asymptotes

b) state the roots:

1. (5.) Find original function and reduced form f(x) = 3(x-1) (x+2) / (x-4) (x+2)

1. (4.) Graph the inverse of table using the link below

Link:

https://drive.google.com/file/d/1rcpZP5WP5lYqvzX6WJwtg4cJBqzzJCg1/view?usp=drivesdk

1. (3.) Using the definition of an inverse, are f(x) and g(x) inverses of one another? Why or why not?