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Algebra and Trigonometry Review: Calculus Exercises, Exercises of Calculus

Birla Institute of Technology and ScienceCalculus

Calculus exercises focusing on simplifying expressions and solving trigonometric equations. Students are required to simplify algebraic expressions with exponents and trigonometric functions, ensuring answers have no negative exponents. The document also includes trigonometric equations to be solved within the interval [0, 2ฯ€].

Typology: Exercises

2012/2013

Uploaded on 01/31/2013

ekavia
ekavia ๐Ÿ‡ฎ๐Ÿ‡ณ

4.3

(58)

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Calculus Name___________________
Algebra Review #7
Simplify. Your final answer should have no negative exponents.
1.
11
22
32
3x 5x
x
โˆ’
โˆ’ 2.
( ) ( )
( )
23
2
3x5 6x5
4x 5
โˆ’โˆ’
+++
+
3.
31
22
52
4x 6x
x
+
4.
( ) ( )
11
22
2x 1 3 2x 1
2x 1
โˆ’
+โˆ’ +
+
5.
( ) ( )
7
42
33
3xx7 9xx7
โˆ’
โˆ’
โˆ’โˆ’ โˆ’
6.
( ) ( )
31
22 2
22
2
xx1 2xx1
x1
โˆ’โˆ’
โˆ’ ++ +
+
pf2

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Download Algebra and Trigonometry Review: Calculus Exercises and more Exercises Calculus in PDF only on Docsity!

Calculus Name___________________ Algebra Review #

Simplify. Your final answer should have no negative exponents.

(^1 2 ) (^32)

3x 5x x

2. (^ )^ (^ )

2 3 2

3 x 5 6 x 5 4 x 5

+ โˆ’^ + + โˆ’

(^3 2 ) (^5 )

4x 6x x

+ 4. ( 2x^1 )^1 2 3 2x( 1 )^12

2x 1

+ โˆ’ +^ โˆ’

5. 3x x( โˆ’ 7 ) โˆ’^4 3 โˆ’ 9x 2 ( x โˆ’ 7 ) โˆ’^73 6. (^ )^ (^ )

(^2 2 3 2 ) 2

x x 1 2x x 1 x 1

โˆ’ โˆ’ โˆ’ + + +

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

  1. sin x = โˆ’ 12 8. cos x = โˆ’ 1
  2. sin x 2 = 0 10. 2 cos 2x = 3
  3. (^) 2 sin 2x + 1 = 0 12. (^) cos x =sin x