a. Suppose f(z) 2.4 sin(3.Amz). i. What is the maximum value of f? 24 i. Suppose

Question

a. Suppose f(z) 2.4 sin(3.Amz). i. What is the maximum value of f? 24 i. Suppose z 2 0. What are the first two values of z (greater than or equal to 0) such that f(x) is maximum? ii. What is the minimum value of f? 24 iv. Suppose r 0. What are the first two values of z (greater than or equal to 0) such that f(r) is minimum? Preview Preview Preview Preview b. Suppose fz) -5.4 cos(2.6z) 3.2. i. What is the maximum value of f? 86 ii. Suppose 0. What are the first two values of r (greater than or equal to 0) such that f(z) is maximum? ii. What is the minimum value of f 86 iv. Suppose z 2 0. What are the first two values of z (greater than or equal to 0) such that f(x) is minimum? I Preview Previcw Preview -8.6=-86. Preview Points possible: 10 Unlimited attempts Score on last attempt: 3.8. Score in gradebook: 3.8 Past this question to forum C

Explanation / Answer

ii)
f = 2.4sin(3.4pi*x)

We get it hwen the argument of sin is pi/2 or 5pi/2

3.4pi*x = pi/2
So, x = 1/6.8 or 5/34

3.4pi*x = 5pi/2
x = 5/6.8 or 50/58 or 25/34

So,
5/34 and 25/34 ----> ANS

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iv)
This happens when the argument is 3pi/2 or 7pi/2
3.4pi*x = 3pi/2
x = 3/6.8 or 30/68 or 15/34

And we have 3.4pi*x = 7pi/2
x = 7/6.8
x = 70/68
x = 35/34

So, 15/34 and 35/34 ----> ANS

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b)
cos(2.6x) must be 1 basically for max
So, 2.6x = 0 or 2.6x = 2pi
So,
x = 0 or x = pi/1.3 ---> ANS

Min = -5.4 + 3.2 i,e -2.2 ---> ANS

And when this occurs?

When 2.6x = pi or 3pi
x = pi/2.6 or 3pi/2.6 ----> ANS

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