Option a is correct. Explanation are given below
8. Given the function g(x) = 0.75 cos(x – 0.5, the period is a. 4 b....
9. Given the function g(x) = 0.75 cos x -0.5, the equation of the central axis is a. y = 4 b. y = c. y = 3 d. y = -0.5
please help with part b
Amplitude, Period, and Phase Shift: From Function. Given a function f(x) = a sin(bx + c) or g(x) = a cos(bx + c), you have the following formulas: Amplitude = lal Period = 40 Phase Shift = -9 Determine the amplitude, period, and phase shift for the given functions: (a) f(x) = -6 sin(5x - 2) Amplitude = 6 Period Phase Shift = (b) f(x) - 4 sin(8 - 9xx) Amplitude Period = Phase Shift...
Clear steps, please.
Question # 4(a) a. Time period of x(t) Cos(10Tmt) issec b. Time period of x(t) Cos(10Tt) +Cos (50Tt) issec c. Frequency of x(t) Cos(10mt) isHz d. Frequency ofx(t) Cos(10mt) + Cos(50πt) is- --Hz e. Phase spectrum is anfunction of frequency. f. Magnitude spectrum is an g To check stability in time domain, a system H(s) is stable if and only if function of frequency. h. To check stability in time domain, a system ht) is stable if...
Part 7) Given the function' on f(x) = -csc (bx - 71/4) with a period p=511/7 a) Determine the value of b: b) Determine the vertical asymptotes: c) Determine the domain: d) Range: Part 8) Calculate the 'terminal angle,' reference angle of and graph on the Cartesian plane, -22/67. Also calculate the exact value of sin (-22/6n) and cos (-22/6)
Use the figure to evaluate the function given that g(x) = cos X. g(2) x - g(20) = (simplify your answer) Question is complete. Tap on the red indicators to see incorrect answers
Problem 4: Cams (25 pts) Given: A 05 rise in 0.75 s A 1.0" rise in 0.75 s A 0.5 fall for 0.5 s A dwell for 0.25 s A 0.5 rise in 1.25 s A 1.5" fall in 1.5s Calculate the period of the cam: T- Calculate the angular velocity of the cam (include units): Calculate the degrees of are for each part of the cam's program: Ba (if necessary)- ps (if necessary)- Ba (if necessary)- Bs (if necessary)-...
1. Consider the following function: 4x 0<x<0.5 f(x)= 4- kx 0.5 <x<1 0 Otherwise a) (5%) Determine k such that f(x) is a probability density function. b) (6%) Determine CDF of x. c) (4%) Using CDE, what is the p(x 0.75) d) (4%) Using CDE what is p(x<0.6) e) (4%) Determine E(x) Type here to search o TT
For the given functions f and g, find the requested composite function. f(x)=x² +8, g(x) = x² +4; Find (fog)(x). O A. x4 +68 O B. x4 + 16x² +68 O c. x4 + 24 O D. x4 + 8x² + 24
3. Let X N(20,1). What is P(X > 20) ? a) 0.25 b) 0.5 c) 0.75 d) 0.99
Given f(x)=x²+8 x-20 and g(x)=4 x-10, what is (f o g)(x) ?A) 4 x²+32 x-90B) 16 x²-48 x(c) 16 x²+32 x-200(D) 4 x³+22 x²-160 x+200Determine the quadrant in which θ lies if cosθ<0 and cotθ>0.Determine the quadrant in which 0 lies if cos 0 < 0 and cot 0 > 0.