Docsity
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
Docsity AI
Docsity AI
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 for your university

Find the specific documents for your university's exams

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

Free resources

Our save-the-student-ebooks!

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

Math 120 Exam Solutions - Prof. Brick, Exams of Calculus

Aliah UniversityCalculus

The solutions to math 120 exams 1, 2, 3, and the final exam conducted by prof. Brick during the fall 1998 semester. The exams cover various topics in calculus, including differentiation, integration, optimization, and applications.

Typology: Exams

2012/2013

Uploaded on 03/31/2013

lakshmicunt
lakshmicunt 🇮🇳

4.5

(4)

76 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Fall 98 Math 120 Exam 1 Prof. Brick
Do the problems in order in your bluebook. Show your work.
1. Use a tangent line of √xto approximate √9.1. Draw a graph that illustrates things.
2. Find the equation of the line tangent to f(x)=(x2+2)
2at x=1.
3. Suppose y>0 for x<5 and y<0 for 5 <x. What sort of point does the graph of y
have at x= 5 ? Explain.
4. For what xis the tangent line of y=x3
−3xhorizontal ? Don’t use your grapher here.
5. A ball is thrown up from a window. Its height is s(t)=96+16t−16t2feet tseconds
later. At what time and at what velocity does it hit the ground ?
6. Find the derivative of y=7
√x2−πx7+7π3+7
x7+1
7. For what xis y=x3
−x2concave up ? Find all such x. Don’t use your grapher here.
pf3
pf4

Partial preview of the text

Download Math 120 Exam Solutions - Prof. Brick and more Exams Calculus in PDF only on Docsity!

Do the problems in order in your bluebook. Show your work.

  1. Use a tangent line of √x to approximate √ 9 .1. Draw a graph that illustrates things.
  2. Find the equation of the line tangent to f (x) = (x^2 + 2)^2 at x = 1.
  3. Suppose have at x = 5? Explain. y′^ > 0 for x < 5 and y′^ < 0 for 5 < x. What sort of point does the graph of y
  4. For what x is the tangent line of y = x^3 − 3 x horizontal? Don’t use your grapher here.
  5. A ball is thrown up from a window. Its height islater. At what time and at what velocity does it hit the ground? s(t) = 96 + 16t − 16 t^2 feet t seconds
  6. Find the derivative of y = √^7 x^2 − πx^7 + 7π^3 + (^) x (^7 7) + 1
  7. For what x is y = x^3 − x^2 concave up? Find all such x. Don’t use your grapher here.

Do the problems in order in your bluebook. Use algebraic techniques.

  1. Design a rectangular garden placed up against a wall that uses 200 feet of fencing andencloses as much area as possible.
  2. Find the absolute min/max’s of y = 19 x + (1/x) over [2, 5]
  3. A bookstore sells 8000 copies of “The Joy of Calculus” each year. The order fee is $40.The carrying costs are $2 per book per year. How often should orders be placed?
  4. Use the second derivative test to classify the the local min/max’s of y = 13 x^3 − 2 x^2 − 5 x.
  5. You have a sample of the radioactive element Calculusium. At noon you have 63 grams.At 2:45 pm you have 40 grams. Find its half-life.
  6. You wish to sell Calculus T-shirts to raise money for a math party. A market surveyindicates that if you charge $20 a shirt, you will sell 60 each week, while each dollar increase will result in four fewer sales. Find the price that maximizes revenue.
  7. Find where f (x) = ln(x^2 + 1) is concave up or down and find its inflection points.
  8. Find the first derivative of g(x) =^ ( 4 x^6 + ex^2 + √x^ ) · ( 5 x^2 + π^2 − eπ^ )

Fall 98 Math 120 Final Exam Prof. Brick

Do the problems in order in your bluebook. Use algebraic techniques.

  1. A ball is thrown up from a window. Its height afterAt what velocity does it hit the ground? t seconds is s(t) = 96 + 16t − 16 t^2.
  2. Find the tangent line to h(x) = (^) xx 2 + 1+ 3 at x = 1
  3. Use the second derivative test to classify the the local min/max’s of y = x^3 − 6 x^2.
  4. The cost of producing x units is C(x) = 1000 + xe.^3 x. Find the marginal cost. 5.exponential model, predict the population in the year 2000. The population of Calculusville was 120, 000 in 1950 and 200, 000 in 1980. Using an
  5. How long before money at 7.5% annual interest compounded monthly doubles?
  6. Design a rectangular garden placed up against a long wall that uses 400 feet of fencingand encloses as much area as possible.
  7. You wish to sell espresso during lunchtime. A market survey indicates that if you charge$1 a cup, you will sell 44 cups an hour while each dime increase will result in four fewer sales. Find the price that maximizes revenue.
  8. Find a function y = f (x) for which y′^ = 3x^2 − 2 x and y(1) = 0.
  9. Find the area of the region bounded by y = x^2 and y = x.