a Suppose fx 44 sin58pix i What is the maximum value of f i

a. Suppose f(x) = 4.4 sin(5.8pix). i. What is the maximum value of f? ii. Suppose x greaterthanorequalto 0. What are the first two values of x (greater than or equal to 0) such that f(x) is maximum? iii. What is the minimum value of f? iv. Suppose x greaterthanorequalto 0. What are the first two values of x (greater than or equal to 0) such that f(x) is minimum? b. Suppose f(x) = 2.6 cos(3.6x) + 5. i. What is the maximum value of f? Suppose x greaterthanorequalto 0. What are the first two values of x (greater than or equal to 0) such that f(x) is maximum? iii. What is the minimum value of f? iv. Suppose x greaterthanorequalto 0. What are the first two values of x(greater than or equal to 0) such that f(x) is minimum?

Solution

(A)f(x)=4.4sin(5.8pix)

(i) Maximum Value of f = 4.4

(ii) f(x) is maximum when 5.8pix=pi/2 => x=1/11.6=0.086

and 5.8pix=5pi/2 => x=5/11.6=0.431

(iii)Minimu Value=-4.4

(iv) f(x) is minimum when 5.8pix=3pi/2 => x=3/11.6=0.2586

and 5.8pix=9pi/2 => x=9/11.6=0.7758