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

Calculus Techniques

by: Darren Schulist

Calculus Techniques MATH 1100

Darren Schulist
Utah State University
GPA 3.77

Joseph Koebbe

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

Joseph Koebbe
Class Notes
25 ?




Popular in Course

Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Darren Schulist on Wednesday October 28, 2015. The Class Notes belongs to MATH 1100 at Utah State University taught by Joseph Koebbe in Fall. Since its upload, it has received 12 views. For similar materials see /class/230415/math-1100-utah-state-university in Mathematics (M) at Utah State University.

Similar to MATH 1100 at Utah State University


Reviews for Calculus Techniques


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: 10/28/15
Problem De nition Problem 41 Learning Theory The management of a factory has found that a worker can produce at most 30 units per day The number of units N per day produced by a new employee will increase at a rate proportional to the difference between 30 and N This is described by the differential equation IN 7 k 30 N d where t is the time in Solve this differential equation Solution Step 1 The process of separation of variables starts by moving all dependence on t to one side of the equation and all dependence on N to the other Multiplying the differential equation through by It results in IN It dt k30 Ndt or IN k30 Ndt Dividing by 30 N in trun gives IN 30 N This shows the equation is separable kdt Solution Step 2 Next we need to integrate both sides of the separated equation Integrat ing the left hand side gives dN 30 N ln 30 N Cl and fkdtktC2 Setting the integrals equal gives the equation ln 30 N CI kt Cg or ln 30 N kt C Exponentiating both sides of the equation results in 30 N e ktC 2 SC e m Solving for N gives N 30 QC 8quot This is the general solution of the original differential equation To nd a particular solution we would need an initial condition and another data point or the rate constant


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

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."

Anthony Lee UC Santa Barbara

"I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Steve Martinelli UC Los Angeles

"There's no way I would have passed my Organic Chemistry class this semester without the notes and study guides I got from StudySoup."

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.