Docsity
Log inSign up
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search Store documents

The best documents sold by students who completed their studies

Search through all study resources
Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

University Rankings

Discover the best universities in your country according to Docsity users

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

From our blog

Exams and Study
Go to the blog

Mth 201 Hour Exam 2: Calculus Problems - Prof. Aaron D. Wootton, Exams of Calculus

University of Portland (UP)Calculus
Prof. Aaron D. Wootton

A math exam consisting of 9 problems, including short answer and long answer questions. Topics covered include differentiation using various rules, finding derivatives, and using given information to determine speed. Students are required to provide exact answers and explanations for long answer questions.

Typology: Exams

Pre 2010

Uploaded on 08/16/2009

koofers-user-5na
koofers-user-5na 🇺🇸

10 documents

1 / 6

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Mth 201
Hour Exam 2
Name: Date:
9 Problems. 100 Points. Follow directions carefully. Please
do not leave any question blank, and turn off cell phones and
other noisemakers to avoid disturbing your classmates.
I have verified that this exam contains 9 problems and 6 printed pages.
Initial .
Print the name of the people sitting either side of you :-
Short Answer (7 points each) - Minimal explanation and calcula-
tions necessary though where appropriate, answers should be ex-
act.
1. Differentiate the function f(x) = eπe2
−πeπ
2e−π2+sin(π/8) with respect to x.
2. What is the slope of the tangent line to f(x) = x2−3πx + 2 at x= 0?
1
pf3
pf4
pf5

Partial preview of the text

Download Mth 201 Hour Exam 2: Calculus Problems - Prof. Aaron D. Wootton and more Exams Calculus in PDF only on Docsity!

Mth 201 Hour Exam 2

Name: Date:

9 Problems. 100 Points. Follow directions carefully. Please do not leave any question blank, and turn off cell phones and other noisemakers to avoid disturbing your classmates.

I have verified that this exam contains 9 problems and 6 printed pages. Initial.

Print the name of the people sitting either side of you :-

Short Answer (7 points each) - Minimal explanation and calcula- tions necessary though where appropriate, answers should be ex- act.

  1. Differentiate the function f (x) = e πe^2 −πeπ 2 e−π^2 +sin(π/8) with respect to^ x.
  2. What is the slope of the tangent line to f (x) = x^2 − 3 πx + 2 at x = 0?
  1. Which rule, (product, chain or quotient) is required to differentiate the function g(x) =

3 x^2 − 2 x + 1? Find its derivative.

  1. Which rule, (product, chain or quotient) is required to differentiate the function g(x) = 3ex^ sin(x)? Find its derivative.

Long Answer (20 points each) - show work and provide explana- tions, an answer without supporting work will not receive credit.

  1. A low flying jet aircraft covering a straight course is tracked by a radar station set 6 miles to one side of the flight path (see figure below). The radar can only measure the distance s from the station to the aircraft and the rate of change ds dt of the distance from the aircraft to the station. Use this information to determine the speed the aircraft (dx dt ) when s = 10 miles given that at this time ds dt = 800mph.
  1. Find the linear approximation to f (x) = xsin(x)^ at x = 1.