# homework 1 in Calculus 2

homework 1 in Calculus 2
Project description
Write an outline for sections 6.2-6.4. Work on the solutions to Section 6.1: exercises 21 and 36, Section 6.2: exercises 54 and 89, Section 6.3: exercises 44 and 64, and Section 6.4: exercises 26 and 74.
Submit a report in the comment box of this homework detailing your progress and status toward completion. The end of the report should contain a brief summary stating whether the outlines and exercises were given sufficient effort (whether the correct answer was derived or not).
NOTE: I do not need to see your work – I only want you to report on your homework activity (for each problem, whether it was found to be difficult, obvious, easy/hard, whether you at first had troubles but eventually found the/a solution, etc.) I would like you to document (i.e., report on) your homework experience. You can grade your own work via the solutions I provide. I award 3 pts for your reported work on the outlined sections (3pts per section outline) and 3pts for each exercise problem reported.
Name Math 1920-R5X
Date
Outline for Section 7.1, “Inverse Functions”
I. Inverse Functions
A. Representation of functions
1. Table
2. Graph
3. Mathematical expression
B. Definition: A function has an inverse over its domain if it is one-to-one, or equally written, 1:1.
C. Definition: A function is 1:1 if it never takes on the same value twice, i.e., it passes the horizontal line test provided we have a graph of the function.
D. Domain/Range of the inverse function: If the domain/range of the function is given by D and R, respectively, then the domain/range of its inverse, written here as Dinv/Rinv is simply Dinv=R and Rinv=D. See page 415 of the text.
E. Mathematical representation of the inverse function: how to find it. If possible, write down y=f(x), and solve for x in terms of y. For consistent notation, it is possible to exchange x and y when finished so that you again have something that looks like See the steps outlined on page 416. ).(1xfy-=
F. Graph of an inverse function is found by reflecting the graph of f about the line y=x.
II. The Calculus of Inverse Functions
A. If f is a 1:1, continuous function defined on an interval, then its inverse function is also continuous. This is a theorem found on page 417 and is used as a condition needed for the existence of the derivative of an inverse function. )(1xfy-=
B. Theorem about differentiability of the inverse function: the function f must have the properties, 1) f is 1:1, 2) f is differentiable. Having checked for this, and giving its inverse the following notation; , then at some point a, )()(1xfxg-=)|)((1|)(‘axaxxgfxgdxd=== (see page 418 of the text, Theorem 7. Here is an example why it is important that the function be 1:1….Let . Note that the function is not 1:1 on this interval. But we will pretend not to notice this. Find 8<<-8=x) f ( x2 , x 21|)(-=-xxfdxd. By the theorem, we have xxf2)(‘= and xxfxg==-)()(1. So, we have that 221|21))((‘1|)()2()(211-====-=-=–agxxxagfxfdxdfdxd and this does not exist (we cannot take the square root of a negative number.

# Our Service Charter

1. ### Excellent Quality / 100% Plagiarism-Free

We employ a number of measures to ensure top quality essays. The papers go through a system of quality control prior to delivery. We run plagiarism checks on each paper to ensure that they will be 100% plagiarism-free. So, only clean copies hit customers’ emails. We also never resell the papers completed by our writers. So, once it is checked using a plagiarism checker, the paper will be unique. Speaking of the academic writing standards, we will stick to the assignment brief given by the customer and assign the perfect writer. By saying “the perfect writer” we mean the one having an academic degree in the customer’s study field and positive feedback from other customers.
2. ### Free Revisions

We keep the quality bar of all papers high. But in case you need some extra brilliance to the paper, here’s what to do. First of all, you can choose a top writer. It means that we will assign an expert with a degree in your subject. And secondly, you can rely on our editing services. Our editors will revise your papers, checking whether or not they comply with high standards of academic writing. In addition, editing entails adjusting content if it’s off the topic, adding more sources, refining the language style, and making sure the referencing style is followed.
3. ### Confidentiality / 100% No Disclosure

We make sure that clients’ personal data remains confidential and is not exploited for any purposes beyond those related to our services. We only ask you to provide us with the information that is required to produce the paper according to your writing needs. Please note that the payment info is protected as well. Feel free to refer to the support team for more information about our payment methods. The fact that you used our service is kept secret due to the advanced security standards. So, you can be sure that no one will find out that you got a paper from our writing service.
4. ### Money Back Guarantee

If the writer doesn’t address all the questions on your assignment brief or the delivered paper appears to be off the topic, you can ask for a refund. Or, if it is applicable, you can opt in for free revision within 14-30 days, depending on your paper’s length. The revision or refund request should be sent within 14 days after delivery. The customer gets 100% money-back in case they haven't downloaded the paper. All approved refunds will be returned to the customer’s credit card or Bonus Balance in a form of store credit. Take a note that we will send an extra compensation if the customers goes with a store credit.

We have a support team working 24/7 ready to give your issue concerning the order their immediate attention. If you have any questions about the ordering process, communication with the writer, payment options, feel free to join live chat. Be sure to get a fast response. They can also give you the exact price quote, taking into account the timing, desired academic level of the paper, and the number of pages.

Excellent Quality
Zero Plagiarism
Expert Writers

or