19. [/3 Points] LARPCALC11 4.PS.011. ASKYOUR TEACHER PRACTICE ANOTHER (a) Use a graphing utility to graph the functions f(x) = 3 cos(2x) + 4 sin(5x) and 900 = 3 cos(2x) + 4 sin(4x). Use the graphs to find the period of each function. period of f(x) period of g(x) (b) Is the function h(x) = A cos(ux) + B sin(x), where a and i9 are positive integers, periodic? Explain. 0 Yes, h(x) is periodic because each of its terms is periodic and a common multiple of their periods can be found. 0 Yes, [700 is periodic because each of its terms is periodic with the same period for all values of a and p. O No, h(x) is not periodic unless A = B. O No, h(x) is not periodic unless a = . 0 No, h(x) is not periodic unless A and B are also positive integers. Need Help? man Firefox File Edit View History Bookmarks Tools Window Help x 28 33% Thu 9:56 AM Q DE . . . A HW 4 - MAT 135, section F20-N X + C O & https://www.webassign.net/web/Student/Assignment-Responses/last?dep=31640077 20. [-/4 Points] DETAILS LARPCALC11 4.PS.012. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Two trigonometric functions f and g have periods of 3, and their graphs intersect at x = 7.27. (a) Give one positive value of x less than 7.27 and one value of x greater than 7.27 at which the functions have the same value. less than 7.27 X greater than 7.27 X = (b) Determine one negative value of x at which the graphs intersect. X = (c) Is it true that f(19.27) = g(-7.73)? Explain. Yes. Both 19.27 and -7.73 are a whole number of periods away from the given point at which the graphs of f and g intersect. Yes. The value 19.27 is a whole number of periods away from -7.73, which is all that is necessary to guarantee that f(19.27) = g(-7.73). O No. The value -7.73 is not a whole number of periods away from the given point at which the graphs of f and g intersect. No. Since 19.27 # -7.73, f(19.27) # 9(-7.73). No. The value 19.27 is not a whole number of periods away from the given point at which the graphs of f and g intersect. Need Help? Read It W Screen Shot 2023-04-27 at 9.54.18 AM.png APR ... 27 4