Answered: Given - ()* -2 -16 X' = -8 sin(2t) (a)…

Given - ()* -2 -16 X' = -8 sin(2t) (a) Verify that X1(1) = ( cos(24) + sin(21) ) ª ( 4 cos(2t) – 4sin(2t) sin(2t) and X2(t) are solutions to the given system.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.2: Trigonometric Equations

Problem 28E

See similar textbooks

Related questions

Q: Answer the following True or False questions and give a short justification/counter-example: a)…

A: answer the following true or false questions (A) every system of differential equation y'=Ay has a…

Q: of 1-meter cubes. Y Hieg 1 m Lwith 1 m 1 m

A: Total number of 1x1 cubes = 42 Area of 1 cube = 1x1 m2 = 1 m2 Total Surface Area= 42x area of 1 cube…

Q: Is it possible that all solutions of a homogeneous system of nine linear equations in twelve…

Q: Select the correct answer from the drop-down menu. The area of the region under the curve of a…

Q: Let f(x) a, 0 <a <11 .At = 39, the Fourier sine series of f 3, 1< x < 2 J 0, 2 converges to a) -2 b)…

Q: Consider a mini-web as a dynamical system. Let A be the coefficient matrix of this system and be a…

A: From the given information, the coefficient matrix is A, distribution vector is x→. Eigenvalues are…

Q: (i) Let f: R2 → R be defined as f(x1, x2) = –x3. Consider the minimization problem minen f(x), where…

A: As per the question we have the following optimization problem : minx ∈ Ω f(x) , f(x) = -x22 Ω =…

Q: Example Hw Consider laurent Series expansions around zzo of the following O f(2) = %3D 22-32+2

Q: y -8 -6 8. 4 -2 2 8 6 3 1 -1 -3 2 :)* - (-)" = 1, find the parameters a, For the above plot of the…

Q: 1. What are the eventually fixed points for A(x) = [x? 2. Let F(x) = 1-x. Show that 0 lies on a…

A: According to Bartleby guidelines we can solve only the first question, which is by using the…

Q: If a village has a population of 2000 and a natural growth rate of 3.7% but has a carrying capacity…

Q: In a chess tournament, each pair of participants must play with each other exactly once. Two players…

A: The formula for combination is Crn=n!n-r!r!. The roots of the quadratic equation is given by…

Q: Use the simple interest formula to determine the missing value. Round dollar amounts to the nearest…

Q: Bracketing Method: 1.Find the roots of f(x) = 2x²+8x+6 using; a. Bisection Method b. False Position…

Q: 8. Type the correct answer in each box. y (0,0) Scale: 1 unit = 10 meters The hyperbolic cross…

Q: Usian Bolt jogs one (1) mile the first day and increases his daily run by 1/4 mile every week, how…

A: Given, Usian bolt jogs 1 mile the first day and increase his daily run by 1/4 miles every week.

Q: 5. Given the initial value problem dy = t(y + 1), y(0) = 2 dt use Euler's method with at least four…

A: Euler method for Differential equation

Q: 8.1% of 13 is what number? Round to the nearest hundredth. O A. 105.00 O B. 1.05 Oc. 0.11 O D. 10.50

A: We will find 8.1% of 13.

Q: Use polar coordinates to evaluate the double integral.

A: Given, the double integral ∫∫R19ydA Where R is bounded by r=2-cosθ

Q: Given a diophantine equation a+17b+17c=n, which has 6903 ordered solutions and a, b, c, and n are…

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ĩ, 9) =| (?, ?) y = /25 – x² |

A: Given , y = f(x) = √ (25-x2) Now,Area(A) = 0 ∫ 5 ydx = 0 ∫ 5 √ ((5)2 - x2) dx .…

Q: 3, Use the definition of limit (E & 8) to show that lim (2.x+iy)-4i, where z=x+ iy. 21

Q: Is the two functions h(t) and g(t), is h-1g-1 (t) = (hg)-1(t)

Q: How many possible outcomes are there? Let E = the ways in which the sum of the dice is 9. List the…

Q: A spherical surface F is given by the parametric representation sin(u) cos(v) +1 s(u,v) = | sin(u)…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: isolated singular point 1. z/((z^3)+z) 2. exp(tan(1/z)) 3. (1/(z^2)) * exp(1/(z^2)) z=4 is apole of…

Q: (x-5) Pnd the radius(R) and the interval of conver gence(/) for this sertes a) R 1, 1: (4,6] b) R-4,…

A: radius of converges and interval of converges for the Series, using root test

Q: The particular salution Por y= -3y-4y + + l1t+15 iss 8 -2e-3t +4 where y Sy +by + 3 et 156=20 O -2e…

Q: 4) ( The function f(x)=x'-5x +3x+9 has a double root at x= 3. Use a) the standard Newton-Raphson, b)…

A: a)

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2-cos(0) OR

Q: 4. Solve the equation for x. give the reason for each step 2(3x - 4) + 5 = x + 9 (Learning packet…

Q: Problem #2: Find the mass of the solid bounded by the the graphs ofy 8x2, y = 7, z = 0, and z = 9,…

Q: A certain student organization has 17 members 7 math majo

A: Given, a certain student organization has 17 members - 7 math majors and 10 English majors. A…

Q: For what values of a do you expect s'(a) to be positive? Why? Answer the same questions when…

A: Given function is y=s(t)=-16t+16t+32 The graph of given function is

Q: Sales of frozen pizza for a club fundraiser increased from 500 one year to 540 the next year. What…

A: Percentage of increasing

Q: Find the solutions of the following PDE by separating variables. ди ди ) x- --y- = 0; (b) + = 0

Q: Suppose you deposit $2,500 in a CD paying 8% interest, compounded every other month. How much will…

Q: a - b 1.2 -0.8 Find an invertible matrix P and a matrix C of the form such that A = has the form A =…

Q: Determine the y-coordinate of the centroid of the shaded area. x = ky? I---x

A: The given problem is to find the y coordinate of the centroid of the given shaded region. Shaded…

Q: Find a power series solution of the differential equation below. Determine the radius or convergence…

A: Given the function y'+2xy=0 (1) Let assume,…

Q: For the series below calculate find the number of terms n that must be added in order to find the…

A: We have to find the value of n.

Q: 1 -2 -5 A = -2 -2 -2 -5 -2 1 The eigenvalue d1 has associated unit eigenvector u The eigenvalue 12 =…

Q: 2. Find the power series solution of (1+ x) – 2.xy/ +2y = 0 %3D about an ordinary point r 0. %3D

Q: W: : Show your work. a) [. j: Find the exact area of the surface obtained by rotating the curve y +…

A: Area bounded by the region and gemoteic series

Q: 1.) Complete the table using Hamilton’s method to apportion the 20 seats for the populations after…

Q: 5. Given the initial value problem = t(y + 1), y(0) = 2 use Euler's method with at least four steps…

A: Euler's Method to solve differential equation

Question

my question is in the image.

When I do my work, I cant seem to get the right answers. I can get close 4cos(2t) or 4sin(2t) but I can not get my answers to look right. Can you please help?

3. Given
X' - ( ) *
2
-16
2
(a) Verify that X1(t) = (-8 sin(2t)
cos(2t) + sin(2t) )
and X2(t) = (
4 cos(2t) – 4 sin(2t) ) are solutions to the given
sin(2t)
system.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

1- (sin (Cos(2x)+os (sin(2x))
Which of the following is a solution to the equation z = (-/3 + i) ? (A) 213[cos(197/18) + i sin(19r/18)] (B) 23[cos(87/9) + i sin(87/9)] (C) 213[cos(13/18) + i sin(13/18)] (D) 213[cos(11/9) + i sin(11/9)] (E) 213[cos(7/9) + i sin(7/9)] (F) 213[cos(10/9) + i sin(10/9)] (G) 213[cos(17/18) + i sin(17/18)] (H) 213[cos(23/18) + i sin(23r/18)]
Solve the equation y' + a= ex +)csc(ax+y), where a is a real number Select one: a. e (ax+)[cos(ax+y)+sin(ax + y)]= - 2x+c O b.ex+y)[cos(ax+y)+sin(ax+ y)]= ax+c c. e-(ax + y)[cos(ax+y)sin(ax+y)]= cx %3D d. e-(ax+y)[cos(ax+y)– sin(ax+ y)]=x+c O e.eax +y)[cos(ax+y)sin(ax + y)]= cx O f.eax+y[cos(ax+y)– sin(ax+y)]= – x+c
If e -/2i = sin2 then z = - 2i In(sin2) – 4KTI 2i In(sin2) + 4k T - 2i In(sin2) + 4kn -2 In(sin2) + 4kT
1- 4cos3x = cos3x + 3cosx 2- Sin(In(i-t)) = 1 3- ((1+i)(1 – i))' = (1+ i)'(1 – i)'
(b) Verify that f(x) = f(x) = = 2 sin = = 2 sin sin(6x) + sin(7x) 6x + II 2 cos(x) sin(13x). 2 2 COS 6x - cos(-2) 2
Find all pairs of (a,b) of real numbers such that if y= cos(ax) +sin(bx) then y'' + 9y =0
Which of the following equations does not hold for all values of x and y? cos(r + y) = cos(x) cos(y) – sin(x) sin(y) sin(2x) = 2 sin(x) cos(x) sin? æ + cos (x) =1 sin(-a) = - sin(x) sin(x + y) = sin(x) + sin(y)
Can you express cos(7x) in terms of powers of cos(7x) Start from: cos(7x) = cos(7x) + i * sin(7x)
Determine c1 and c2 so that y(x) = c1 sin 2x + c2 cos 2x + 1 will satisfy the conditions y(pi/8) = 0 and y''(pi/8) = sqrt 2 .
Find the form for a particular solution to the equation y "+2y'– 3y =r?cos (nt). A (a,+a,²+a,t+a,)cos(xt) B - a t+a) cos (at) © (a,12+a,1+a,)² cos (xt) D(a,r²+a,t+a) cos(xt) +1(b,t²+b,t+b,) sin (xt) E (a,r²+a,t+a) cos (t) + (b,ť²+ b,t+b,) sin ( xt)
Find a result by using undetermined coefficients for ý + y = x²+x+sin(2x)