MAT 302 Assignment Problem 8.4 | Borough of Manhattan Community College

MAT 302 Assignment Problem 8.4 | Borough of Manhattan Community College

                Question 1

(1 point) Match each of the trigonometric expressions below with the equivalent non-trigonometric function from the following list. Enter the appropriate letter (A,B,C,D, or E) in each blank.

A. 
tan(sin1(x/4))tan(sin−1(x/4))

B. 
cos(sin1(x/4))cos(sin−1(x/4))

C. 
(1/2)sin(2sin1(x/4))(1/2)sin(2sin−1(x/4))

D. 
sin(tan1(x/4))sin(tan−1(x/4))

E. 
cos(tan1(x/4))

 

 

Question 2

(1 point) Using the substitution x=10sin(θ)x=10sin(θ), evaluate


 

Ques 3

(1 point) Using the substitution x=3sec(θ)x=3sec(θ), evaluate


 

Ques 4

(1 point) Using the substitution x=2tan(θ)x=2tan(θ), evaluate




 

 

Ques 5

(1 point) Evaluate


 

Ques 6


 

Ques 7

Use the substitution x=5sectx=5sect to evaluate the integral dxxx225∫dxxx2−25.

 

Question 8

(1 point)

Evaluate the integral dxx225x2∫dxx225−x2 using trigonometric substitution.

 

Question 9

(1 point)

Evaluate the integral 

 

Question 10

(1 point) Evaluate


 

Question 11

(1 point)

Evaluate the integral




 

 

Question 12

Evaluate the integral



 

 

Question 13

(1 point)

Evaluate the integral




 

Question 14

(1 point) Evaluate


 

 

Question 15

1 point) Evaluate the definite integral


 

Question 16

(1 point)

Evaluate the integral


 

 

Question 17


 

 

 

 

 

 

 

 

 

 

 

 

 


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