New User Special Price Expires in

Let's log you in.

Sign in with Facebook


Don't have a StudySoup account? Create one here!


Create a StudySoup account

Be part of our community, it's free to join!

Sign up with Facebook


Create your account
By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

Analytic Geometry and Calculus 1

by: Cydney Conroy

Analytic Geometry and Calculus 1 MATH 1300

Marketplace > University of Colorado at Boulder > Mathematics (M) > MATH 1300 > Analytic Geometry and Calculus 1
Cydney Conroy

GPA 3.65

Joshua Wiscons

Almost Ready


These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

Unlock Preview
Unlock Preview

Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

View Preview

About this Document

Joshua Wiscons
Class Notes
25 ?




Popular in Course

Popular in Mathematics (M)

This 4 page Class Notes was uploaded by Cydney Conroy on Thursday October 29, 2015. The Class Notes belongs to MATH 1300 at University of Colorado at Boulder taught by Joshua Wiscons in Fall. Since its upload, it has received 9 views. For similar materials see /class/231822/math-1300-university-of-colorado-at-boulder in Mathematics (M) at University of Colorado at Boulder.


Reviews for Analytic Geometry and Calculus 1


Report this Material


What is Karma?


Karma is the currency of StudySoup.

You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/29/15
Math 1300 Fall 2005 Review Sheet for Final Exam 1 Evaluate the following de nite and inde nite integrals 2 3z5 7z2 z a dz 1 z b tan2 z dz og 4a 2 g 4 d 1 J dz e z4z5 7 232 dz M4 f tanzdz 0 g z5l 7 z25 dz 2 e in z2 h T dz 2 2 i 2zex dz 0 j4z3 l cosz4 z dz 4 z 1 1W 4 2 Sglve the following initial value problems w 7 iww b 3z 172 yl2 3 Find the exact area under the curve z 7 1 over the interval 13 using Riemann sums With righthand endpoints ie7 z zk a kAz You may nd the follWing formulae useful n n nnl ln7 ZkT k1 k1 2 4 Evaluate the integral dz7 given that 72 fzz2 zgt0 z zSO 5 De ne Fz by Fz 6 dt 0 a Use Part 2 of the Fundamental Theorem of Calculus to nd Fz b Check the result in part a by rst integrating and then differentiating 6 Find the area of the region enclosed by the curves y z2 and y 7 Find the area of the region enclosed by the curves y z7 y 4z7 and y 2 7 z 8 Find the volume of the solids that result When the region enclosed by the curves is revolved about a the zaxis b the y axis 9 Set up but DO NOT EVALUATE integrals that express the volume of the solids that result When the region enclosed by the curves is revolved about a the zaxis b the y axis Multiple Choice and TrueFalse questions d 10 Find i if 13y4 I7 dz A B y 2y4 c 715 31 D 715 7 312w E 0 ll Than 6173 Agto Bw 07w Dgt1 E71 12 The function 714 7 612 is concave up on mcmaw mewaw Pw4 ammmm mew 13 The function 3sin12 has an absolute minimum of A75 373 00 D7 E7 14 Express the number 60 as the sum of two nonnegative numbers Whose product is as large as possible A 555 B 1050 C 30 30 D 159 None of the above 15 True or false Given 12 7 9 on 73 3 the value c that satis es the conclusion of Rollels Theorem is c TRUE FALSE 16 True or false Given 13 on 02 the value c that satis es the conclusion of the Mean Value Theorem is c l TRUE FALSE Math 1300 Fall 2005 Review Sheet for Midterm Exam 3 1 Use linear approximation to nd sin47 2 Use an appropriate local linear approximation to estimate 48 3 Assume the earth is a perfect sphere and that the radius of the earth at the equator is 3960 miles or 20908800 feet Imagine that a string is wrapped tightly around the earth at the equator Then imagine that the string is lengthened by an amount that allows it to be strung all the way around the earth at the equator on short poles that are feet above the ground feet is a little less than of a foot or about 4 inches Use differentials to approximate the increase in the length of the string 4 Find for the following functions some of which may be de ned implicitly a y lnsinz 13 b y 5sinrwg c y tan 1ln I WM 5 Evaluate the following limits 39 Te 14 T a 11m 4 716273 574g1101 b limggnlr00 11 E C limx7oltgt 7 e214 d limgcnlr00 11 e limgcnir00 1 ln a mom i am g lim nmz sin I1 mmwm 6 Given 13 1212 3 t 7 213712 352 WWW ww 1W f I nd a z and y intercepts b vertical and horizontal asymptotoes c critical points classify each as a relative maximum relative minimum or neither d intervals where f is increasing and decreasing e in ection points f intervals where f is concave up and concave down g Sketch the curve 7 Same as 6 given I4 7 4x2 71 413 7 81 f z 1212 7 8 8 What is the length of the shortest line segment lying wholly in the rst quadrant tangent to the graph of y i and with its endpoints on the coordinate axes 9 A closed cylindrical can is made using 2 sq ft of material for the sides top and bottom What height and radius would maximize the volume of the can 10 Let z521 1 1 Use the Intermediate Value Theorem to show that the equation 0 has at least one solution on the interval 170 2 Use the Mean Value Theorem to show that there is exactly one solution to the equation 0 on the interval 170 11 Let 12 on the interval a7b for a lt 12 Which of the following values of c satisfy the conclusion of the Mean Value Theorem for f 7a2b2 2 251227a2 ab 3i 7 C 2 4lcbia 12 Use the Mean Value Theorem to prove Rolle7s Theoreml 13 Suppose Harold and Kumar race each other to White Castle and arrive at the same time Use the MVT to show that there was at least one moment when they had the same velocity


Buy Material

Are you sure you want to buy this material for

25 Karma

Buy Material

BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.


You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

Why people love StudySoup

Bentley McCaw University of Florida

"I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Jennifer McGill UCSF Med School

"Selling my MCAT study guides and notes has been a great source of side revenue while I'm in school. Some months I'm making over $500! Plus, it makes me happy knowing that I'm helping future med students with their MCAT."

Jim McGreen Ohio University

"Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

Parker Thompson 500 Startups

"It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

Become an Elite Notetaker and start selling your notes online!

Refund Policy


All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email


StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here:

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.