TUSS Bookmarks 2. For the following graph, determine which of the following functions could describe the...
1. A player hits a baseball into the air. A motion detector is used to gather data about the height of the ball. The resulting data is recorded in the table. Find the finite differences. Decide whether the data can be modelled by a linear, a quadratic, a cubic, or a quartic function. Then use the appropriate regression to determine the algebraic model for the data. DATA TABLE Height (m) First Differences Second Differences Third Differences Time (s) 0 Fourth...
okmarks Complete the following questions and submit them to 1. Sketches the following sinusoidal functions: o y=2 sin (x + 180°) o y = 42 cos 3(x - 180°) + 2 o y=-2 cos (44X + 90°) 2. Create one equation for cos(e) and one equation for sin(O) fo 100 200 300
Objective: • Graph and describe sinusoidal functions 1. Let x € R and let O be the radian measure of an angle in standard position. (a) Choose a value for z. Then let 0 = x and graph 0. (b) For any value of x, is it possible to find 0 = x? Explain. (c) Choose a value for 0 and graph 0. Is there a real number x that is equivalent to 0? Explain. (d) For any value of...
a. What does the line of best fit predict the company's revenue to be in 2011 (year T)? Which problem-solving method is most suitable for this problem? The graph below shows a company's revenues in 2004, 2006, 2008, and 2010. The equations for the ine of best fit and the parabola of best fit for the data are y- 92x 501 and y 136 1 0k 10 43 respecively In 2011, the company's revenue was 108 25 billion dollars Use...
please code on MATHLAB and show graph thank you in advance! Generate the following function y1(t)=2* sin (2*pi* 1 *t)+4*sin(2*pi*2*t)+3*sin(2*pi*4*t) y2(t)=2*cos(2*pi*1*t)+4*cos(2*pi*2*t)+3*cos(2*pi*4*t) First, required by sampling theorem, the step size of t (delta t) has to be smaller than a value. Figure out this value and set the delta t at least 3 times smaller than this value and calculated y1(t) and y2(t). Increase the step size (delta t) and recalculate y1(t) and y2(t). See the difference. Calculate Fourier Transform of...
Determine which of the following pairs of functions are linearly independent. 1. \(f(x, y)=2 x-4 y-12, \quad g(x, y)=-3 x+6 y+18\)2. \(f(t)=17 t^{3} \quad, \quad g(t)=e^{x}\)3. \(f(\theta)=\cos (3 \theta) \quad, \quad g(\theta)=4 \cos ^{3}(\theta)-8 \cos (\theta)\)4. \(f(x)=x^{3} \quad, \quad g(x)=|x|^{3}\)5. \(f(t)=e^{\lambda t} \cos (\mu t) \quad, \quad g(t)=e^{\lambda t} \sin (\mu t) \quad, \mu \neq 0\)6. \(f(t)=4 t^{2}+28 t \quad, \quad g(t)=4 t^{2}-28 t\)7. \(f(\theta)=\cos (3 \theta) \quad, \quad g(\theta)=4 \cos ^{3}(\theta)-4 \cos (\theta)\)8. \(f(x)=e^{4 x} \quad, \quad g(x)=e^{4(x-3)}\)9. \(f(x)=x^{2} \quad,...
15. The graph of which trigonometric function(s) include the point (0,2)? Select all that apply. (3 points) y = cos x + 1 y = 2 cos x y = sin x + 1 y = tan x + 1 f(x) = sin(x+y)+1 16. The data in the table represents the average number of daylight hours each month in Springfield in 2015, rounded to the nearest quarter-hour. (4 points) Month Hours January 9.5 February 10.5 March 12 April 13.25 May...
Which of the following functions is the unique solution of the IBVP Ut = QUI 0<< t > 0 u(0,t) = u(Tt, t) = 0, t> 0 u(2,0) = 1, 0 <<< Select one: 2((-1)" – 1) O A. u(x, t) = -sin(nt)e-amt nyt T21 00 2(1 - (-1)") O B. u(x,t) = -sin(na)e-an’t nn 11 2(1 – (-1)") O C. u(a,t) -sin(ne)eamt n n=1 00 2((-1)" – 1) O D. u(2,t) = sin(nx)e-ant n 11 20 (1-(-1)") O E....
uy = Which of the following functions is the unique solution of the IBVP 4uxx, 0 < x < 211, t> 0 u(0,t) = u(27, 1) = 0, t> 0 u(x,0) = 2 sin x - 4 sin 4x, 0 < x < 21. Select one: O A. u(x, 1) = 2 sin xe 4 – 4 sin 4xe" -641 O B. u(x, 1) = sin xe 4 - 2 sin 4xe-64t 0 C. u(x, 1) = 2 sin xe...
*Please show work TIA:-) Date: Name: Storm Tracker Portfolio Worksheet PRECALCULUS: PARAMETRIC FUNCTIONS Directions: Meteorologists use sophisticated models to predict the occurrence, duration, and trajectory of weather events. They build their models based on observations that they have made in the past. By understanding how previous weather events evolved, meteooogists can apply that knowledge to future weather Parametric equations can be used to graph the path of an object in space. For example, used to describe the path of a...