To graph: The sketch of the functions y 1 = 2 π sin x , y 3 = 2 π sin x + 2 3 π sin 3 x and y 5 = 2 π sin x + 2 3 π sin 3 x + 2 5 π sin 5 x in a window with − 7 ≤ x ≤ 7 and − 1.5 ≤ y ≤ 1.5 .

Question

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Answer 1

Question

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

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Exercise 11.3 A slope field is given for the equation y' = 4y+4. (a) Sketch the particular solution that corresponds to y(0) = −2 (b) Find the constant solution (c) For what initial conditions y(0) is the solution increasing? (d) For what initial conditions y(0) is the solution decreasing? (e) Verify these results using only the differential equation y' = 4y+4.

Answer 2

Question

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

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Answer 3

Question

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

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Answer 4

Question

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

Expert Solution & Answer

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Answer 5

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

Answer 6

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

Answer 7

Chapter 9.1, Problem 60E

(a)

To determine

To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

Answer 8

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

Answer 9

(b)

To determine

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

Answer 10

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

Answer 11

(c)

To determine

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 9.1 - Prob. 1E Ch. 9.1 - Prob. 2E Ch. 9.1 - Prob. 3E Ch. 9.1 - Prob. 4E Ch. 9.1 - Prob. 5E Ch. 9.1 - Prob. 6E Ch. 9.1 - Prob. 7E Ch. 9.1 - Prob. 8E Ch. 9.1 - Prob. 9E Ch. 9.1 - Prob. 10E

To graph: The sketch of the functions y 1 = 2 π sin x , y 3 = 2 π sin x + 2 3 π sin 3 x and y 5 = 2 π sin x + 2 3 π sin 3 x + 2 5 π sin 5 x in a window with − 7 ≤ x ≤ 7 and − 1.5 ≤ y ≤ 1.5 .

Solution Summary: The author illustrates the graph of the functions ly

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To graph: The sketch of the functions y1=2πsinx, y3=2πsinx+23πsin3x and y5=2πsinx+23πsin3x+25πsin5x in a window with −7≤x≤7 and−1.5≤y≤1.5.

To graph: The sketch of the function y11 derived from the pattern established above in a window with −7≤x≤7 and−1.5≤y≤1.5.

To calculate: The value of the function y11 derived in part (b) to approximate a sawtooth wave with amplitude of three times and a period of 4π.

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Chapter 9 Solutions