Linear regression

By
Responsive Centered Red Button

Need Help with this Question or something similar to this? We got you! Just fill out the order form (follow the link below), and your paper will be assigned to an expert to help you ASAP.

Order Form

QUESTION
 
1) Given the two functions: f(x) = x2 g(x) = 12 + 2x x2
(a) Find the coordinates where f(x) and g(x) intersect.
(b) Find the distance between the intersection points.
(c) Find the point halfway between the intersection points (the midpoint).
(d) Write an equation of the line that contains the points of intersection.
(2) It costs a certain manufacturer $2,500 to make 700 units of a product, and $4,000 to make 1200 units of the product.
The manufacturer will sell the product at a fixed price of $50 per unit.
(a) What is the Cost function, assuming the relationship is linear (C = mx + b)?
(b) What is the Revenue function?
(c) What is the Profit function?
(d) Find the number of units that need to be made and sold in order for the manufacturer to break even. Round
your answer to one decimal place.
(3) When a pizza shop sells pizzas for $15, they sell 700 pizzas per month. When the shop increased the price per pie
to $18, they only sold 640 pizzas per month.
(a) What is the price (or demand) function, assuming the relationship is linear (p = mx + b)?
(b) What is the Revenue function?
(c) How many pizzas that need to be sold to reach a revenue of $5,000? Round to the nearest whole pizza.
(d) Find the cost function if the overhead cost of running the shop is $4,000 per month, and the cost for ingredients
to make each pizza is $2.50.
(e) Find the Profit function.
(f) Find the production level (number of pizzas made and sold) that would cause the shop to break even. Round
to the nearest whole pizza.
For the functions in (4) to (7):
(a) Find the domain, in interval notation.
(b) Find the y-intercept.
(c) Find the x-intercept.
(d) Evaluate its di↵erence quotient f(x+h)f(x)
h . Fully simplify the result to the point of canceling out the original h from the denominator.
(4) f(x)=5x 2 (5) f(x) = x2 4x (6) f(x) = p3x + 2 (7) f(x) = 2
x
(8) Let f(x) = x2 + 4x + 4
x2 4 .
(a) Find any discontinuities of f(x). For each, classify their type (removable or non-removable).
(b) Find limx!2
f(x).
(c) Find limx!2
f(x).
(9) Let f(x) = 2 x
x2 8x + 12.
(a) Find any discontinuities of f(x). For each, classify their type (removable or non-removable).
(b) Find limx!2
f(x).
(c) Find limx!6
f(x).
I
.
(10) Sketch an example of a function f(x) with the following properties.
(a) f(3) exists but limx!3
f(x) does not exist.
(b) lim
x!3
f(x) exists but f(3) does not exist.
(11) Let g(x) =
px + 1 1
x .
(a) Find the domain of the function g(x) in interval notation.
(b) Complete the table below, accurate to five decimal places. Use the result to estimate the limit in the center.
x 0.1 0.01 0.001 lim
x! 0
px + 1 1
x
0.001 0.01 0.1
g(x)
(c) Find the limit limx!0
px + 1 1
x analytically (algebraically, by hand). Show your work.
(12) Evaluate each of the limits algebraically, or show it does not exist.
(a) lim
x!2
5 x
x + 2
(b) lim
x!16
px 4
16 x
(c) lim
x!0
1
4+x 1
4
x
(d) lim
h!0
px + h px
h
(e) lim
x!3+
2
x + 3
(f) lim
x!2
x 2
|x

Sample Solutions
Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Phasellus hendrerit. Pellentesque aliquet nibh nec urna. In nisi neque, aliquet vel, dapibus id, mattis vel, nisi. Sed pretium, ligula sollicitudin laoreet viverra, tortor libero sodales leo, eget blandit nunc tortor eu nibh. Nullam mollis. Ut justo. Suspendisse potenti.

Get sample solution
Order Now

Sed egestas, ante et vulputate volutpat, eros pede semper est, vitae luctus metus libero eu augue. Morbi purus libero, faucibus adipiscing, commodo quis, gravida id, est. Sed lectus. Praesent elementum hendrerit tortor. Sed semper lorem at felis. Vestibulum volutpat, lacus a ultrices sagittis, mi neque euismod dui, eu pulvinar nunc sapien ornare nisl. Phasellus pede arcu, dapibus eu, fermentum et, dapibus sed, urna.

Morbi interdum mollis sapien. Sed ac risus. Phasellus lacinia, magna a ullamcorper laoreet, lectus arcu pulvinar risus, vitae facilisis libero dolor a purus. Sed vel lacus. Mauris nibh felis, adipiscing varius, adipiscing in, lacinia vel, tellus. Suspendisse ac urna. Etiam pellentesque mauris ut lectus. Nunc tellus ante, mattis eget, gravida vitae, ultricies ac, leo. Integer leo pede, ornare a, lacinia eu, vulputate vel, nisl.
Suspendisse mauris. Fusce accumsan mollis eros. Pellentesque a diam sit amet mi ullamcorper vehicula. Integer adipiscing risus a sem. Nullam quis massa sit amet nibh viverra malesuada. Nunc sem lacus, accumsan quis, faucibus non, congue vel, arcu. Ut scelerisque hendrerit tellus. Integer sagittis. Vivamus a mauris eget arcu gravida tristique. Nunc iaculis mi in ante. Vivamus imperdiet nibh feugiat est.
Ut convallis, sem sit amet interdum consectetuer, odio augue aliquam leo, nec dapibus tortor nibh sed augue. Integer eu magna sit amet metus fermentum posuere. Morbi sit amet nulla sed dolor elementum imperdiet. Quisque fermentum. Cum sociis natoque penatibus et magnis xdis parturient montes, nascetur ridiculus mus. Pellentesque adipiscing eros ut libero. Ut condimentum mi vel tellus. Suspendisse laoreet. Fusce ut est sed dolor gravida convallis. Morbi vitae ante. Vivamus ultrices luctus nunc. Suspendisse et dolor. Etiam dignissim. Proin malesuada adipiscing lacus. Donec metus. Curabitur gravida

How to create Testimonial Carousel using Bootstrap5

Clients' Reviews about Our Services