okmarks Complete the following questions and submit them to 1. Sketches the following sinusoidal functions: o...
TUSS Bookmarks 2. For the following graph, determine which of the following functions could describe the graph pictured below: o y = 3 cos(T - 180°) - 1 o y = 2 cos(T + 90°) - 1 o y = 2 sin(T - 180°) - 1 o y= 2 sin(T - 180°) + 1 0.5 100 300 400 600 MHF4U Assignment Lesson 17 Modelling Functions 1. A player hits a baseball into the air. A motion detector is used to...
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...
DU not press Submit until all questions are colored green and you have double checked your work. e) II Question 2 Which of the following is a solution for the given differential equation? y"+36y-0 a) y(x)-cosh(3x) b) y(x)-sin(6x) e) y(x)-cos(3x) d) y(x)-e e)·y(x)-cos( 12x)-sin( 12x) f) None of the above. Question 3
Please solve the following 2 functions according to the information given and show all the steps Plz 4. Let f(:1) = (cos x)" (a) Find f'(:1) (b) Find equation of the tangent line at (27,1). (c) Find the linear approximation of f(x) at r = = 1 3. Given the function y sin 2.x = x cos 2y. (a) Find y'. (b) Find equation of the tangent line at (2, 1). (c) Find equation of the normal line at (),...
Q3 1. For the following, in (a) sketch the graphs of the functions and in (a) and (b) find the areas as indicated (a) the area bounded by y = f(x) = x2 - 4x + 5 and y = g(2) = 2x - 3. (b) the area of the region that is common to r= 3 cos(0) and r = sin(). See sketch below. 2. Consider the region bounded by y? = 4, y = 2 and r =...
5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3) (c) f(x,y, 2)(xz2, x + zy?) 5. Find the derivative matrices of the following vector-valued functions of several variables (a) x(t) (t cos t,t sin t) (is there one row or one column?) (b) f(r, y) (2r 4, x - 2y7, y 3)...
Please solve the normalization, 7e, and the commutator questions 6. Normalization Normalize the following functions: sin (1") between 0<x<L 200 for 0 <r <o, treating do as a constant 7. Eigenfunctions and Eigenvalues Determine which of the following are eigenfucntions of the operator 4 give the eigenfunction. Where appropriate (a) pikx (b) cos ka (c) k (d) kx (e) e-ax? 8. Commutator Evaluate the commutator (î, P2]
Problem 1 In simple predator-prey models, sinusoidal functions can be used to model the oscillating populations of two species of animals in the same environment. As the population of the predator species increases, the population of the prey species will decrease. If the number of prey gets too low, the population of the predator species will suffer from limited resources and start to decline. In this problem we will be modeling one population of rabbits (the prey) and one population...
The differential equation (x - y)dx + xdy=0 is a Homogeneous differential equation. Select one: O True O False Which of the following linear differential equations is obtained after applying a suitable substitution to the Bernoulli equation (cos 2)y' + 5(sin x)y = cos 1 Select one: 5 tan O A. Vt 3 10 tan OB. + 3 10 tan : Ocot 3 5 tanz OD. + 2 COS 3 casa 3 2 Cosz 3 U COST 2 5 tan...
Question 4 of 20 : Select the best answer for the question. 4. Complete the following identity: sin x + siny - 2 COS X + cos y O A. tanky O B. tan*ty O C. cot My O D. tan x +tany