Calculus Answers

An object thrown from a height of 2 m above the ground follows a parabolic path

until the object falls to the ground; see Figure. If the object reaches a maximum

height (measured from the ground) of 7 m after travelling a horizontal distance of 4

m, determine the horizontal distance between the object's initial and final positions.

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