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

Calculus Algebra Chapter Review: Evaluating Expressions and Sketching Functions, Exercises of Calculus

Birla Institute of Technology and ScienceCalculus

A calculus algebra chapter review, focusing on evaluating expressions and rationalizing denominators. It includes exercises on simplifying expressions, graphing functions, and solving trigonometric equations. Students are expected to use a graphing calculator and have a solid understanding of algebra and trigonometry.

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia ๐Ÿ‡ฎ๐Ÿ‡ณ

4.3

(58)

241 documents

1 / 4

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
CALCULUS NAME_________________
Algebra Chapter Review
Evaluate each of the following.
1.
( )
2
3x 2 x 1 when x 2โˆ’+ =โˆ’ 2.
2
3
12x 8x when x 2
+=
3. Use the graphing calculator to complete the table for the following expression. Round
your answers to three decimal places.
2
x 3x 2
x1
โˆ’+
โˆ’
Rationalize the denominator of each of the following.
4.
2x x 1
x x1
โˆ’+
++
5.
x
x3โˆ’
Rationalize the numerator of each of the following.
6.
2x x 1
x x1
โˆ’+
++
7.
2 x2
3 x2
โˆ’โˆ’
โˆ’โˆ’
Reduce.
8.
32
2
3x 6x
3x 5x 2
โˆ’
โˆ’โˆ’
9. 3
x 27
x3
โˆ’
โˆ’
.99
.999
1
1.001
1.01
1.1
pf3
pf4

Partial preview of the text

Download Calculus Algebra Chapter Review: Evaluating Expressions and Sketching Functions and more Exercises Calculus in PDF only on Docsity!

CALCULUS NAME_________________

Algebra Chapter Review

Evaluate each of the following.

2 3x โˆ’ 2 x + 1 when x = โˆ’ 2 2.

12x 8x when x 2

  1. Use the graphing calculator to complete the table for the following expression. Round

your answers to three decimal places.

2 x 3x 2

x 1

Rationalize the denominator of each of the following.

2x x 1

x x 1

x

x โˆ’ 3

Rationalize the numerator of each of the following.

2x x 1

x x 1

2 x 2

3 x 2

Reduce.

3 2

2

3x 6x

3x 5x 2

3 x 27

x 3

Simplify.

2

4 x

x 3x 2 x 2

2

x 16

x 7 x 49

5 x

x x 1

6 3 x

2

5x x 3 2 x

2 2x 3x, x 1 f (x) x 5, x 1

๏ฃณ โˆ’^ >

a) Find f ( โˆ’ 1 )

b) Find f 1( )

c) Find f 10( )

Evaluate each of the following.

cos 4

tan 6

csc 3

cot 4

sin 2

20. sec 3 ฯ€

Simplify. Your answer should be written with only positive exponents.

3 1 2 2

5 2

2x 6x

10x

โˆ’ โˆ’ โˆ’

5 2 (^2 3 ) x x 2 x x 2

x 2

โˆ’ โˆ’ โˆ’ โˆ’ โˆ’

Solve the following trigonometric equation in the interval [0, 2 ฯ€ ).

x 2 sin 1 2

= 30. 2 cos x + 2 = 2

  1. (^) 2sin 2x + 1 = 0 32. (^) 3 sec x + 2 = 0