COMMUNICATION: [12 Marks) 1. Sketch the graph of y=cose for O ses 360". Then apply the...
The values for y axes for the first graph on the top is the same as second graph on the bottom. Figure 1 shows the Bode diagrams for a particular system. a.) Sketch the polar diagram for this system, accurately indicating the location and numerical values for the phase and gain margins. The phase margin should be given in degrees, and the gain margin in actual units (i.e. not dB). Use arrows to indicate the di . rection of increasing...
7. Sketch one period of the graph of Y = 1- cos (3x) starting with the graph of Y=cosx and performing transformations. Label both axes.
TEX Sketch the graph, and include at least two periods for the function without a calculator: f(x) = 4 cos + ) | – 2. Also, indicate the amplitude, period, vertical shift and phase shift for f(x). (8 points) 2 a. Amplitude = b. Period = c. Vertical Shift = d. Phase Shift = e. Sketch graph of y, label at least two distinct points (x, y) on the graph: 61 4 N 2 4 6 8 10 -10 -8...
[12] Sketch the graph of r = 1.5 + 3sin in the polar plane provided. o 90° 0° 180° 30° 150° 270° 45° 135° 60° 1200 210° 225° 240° 330° 315º 300° r Approximations 12 1.5 + 3 3.6 1.5 - 3 2 2 *-0.6 2 1.5 + 3 13 2 > 4.1 1.5 - 3 sch 3 2 % -1.1 119/12 1/2 511/12 2013 al3 37/4 51/6 11/25 77/2 71 0
[12] Sketch the graph of r = 1.5 + 3sine in the polar plane provided. o 90° 0° 180° 30° 150° 45° 135° 60° 120° 210° 330° 225° 240° 270° 315º 300° 1 Approximations 1.5 + 3 V2 2 3.6 1.5 - 3 2 2 *-0.6 1.5 + 3 13 2 4.1 1.5 - 30 13 % -1.1 2 11/12 1/2 511/12 2013 1/3 3014 9/4 51/6 →% 196/25 7/12 >O
A support beam is subjected to vibrations along its length, emanating from two machines situated at opposite ends of the beam. The displacement caused by the vibrations can be modelled by the following equations, x120sin(at+ i. ii. iii. State the amplitude, phase, frequency and periodic time of each of these waves Add and subtract the given waveforms using phasor method. Use the COmpoundangleformulac to expand x1 and x2 into the form A sin wt ± B cos wt, where A...
1. (20 points) Graph the function over a one period interval. y= 3 – 6cos (2x +) Y--Pocos [2<*+ * ))+3 yu-cos ( 2x+ 2) +3 a. (1 pt) What is the amplitude? b. (2 pts) What is the period? 1-6)=0 b C. (4 pts) What is the interval of one period? 04 204*2. 0€* 품 d. (2 pts) What is the range? e. (1 pt) What is the y-intercept? (2 pts) f. What is the phase shift? To the...
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
Differential Equation class. Show the steps for the solutions please. Section 3.2 Exercises To Solutions 1. Suppose that the mass is set in motion by moving it upward by 2.5 cm and releasing it with no initial velocity (a) Sketch what you think the graph of y versus t will look like, taking care with the fact that positive y is upward. Make the amplitude of the motion clear on your graph. (b) Express the initial conditions mathematically by giving...
15. The point (-6,-8) is on the terminal arm of LA-which is the correct value of csc A? a. 4 ー c. 3 16. Determine two angles between 0° and 360° that have a cosecant of -2. 17. Determine two angles between 0 and 360° that have a secant of 2. 18. Determine two angles between 0° and 360° that have a cotangent of 3. 19. A periodic function. (x) has a period of 12 and/(14)--5. What is the next...