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Lety.Luu UUUULL |||||| 1 pts Question 4 State the order of the given differential equation. 10xy...
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5...
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y)...
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
More than one option could be correct. Question 3: (4 pts) Fill in the circle next...
More than one option could be correct.
Question 3: (4 pts) Fill in the circle next to each vector-valued function that parameterizes the ellipse 4.x2 + y2 = 4 in the xy-plane. A Fi(t)= (t, V4 – 412) B r2(t) = (2 cos(t), sin(t)) © F3(t) = (cos(t), 2 sin(t)) D F4(t) = (cos(t), 2 sin(2t))
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U! 1.) Which of the following parametric equations are equivalent to the p...
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
Question 4 Solve the differential equation. 2xy' + y = 2V* Question 5 Solve the initial...
Question 4 Solve the differential equation. 2xy' + y = 2V* Question 5 Solve the initial value problem xy' + y = xln x , y(1) = 0 Question 7 Find the derivative. c = tet, g =t+ sin t Question 8 Find the equation of the tangent to the curve at the given point. x = ť – t, y=ť +t+1 ; (0,3)
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t...
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
I just need help with question F An object is moving around the unit circle with...
I just need help with question F
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t), sin(t)). Assume 0 < t < pi/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.) The identity sin(2t)=2sin(t)cost(t) might be useful in some...
Determine the order of the given differential equations; also state whether the equation is linear or...
Determine the order of the given differential equations; also state whether the equation is linear or nonlinear. w (a). y = (sin t)y (b). (2 + y)y" – 4y = cos 3x.
Please show work Question 14 5 pts Use the Laplace transform to solve the given initial-value...
Please show work
Question 14 5 pts Use the Laplace transform to solve the given initial-value problem. y" + 4y=f(t – 2), y(0) = 1, y (0) = 0 Oy(t) = cos(2t) + U (t – 2) · sin[2(t – 2)] Oy(t) = {U (t – 2) sin(2t) Oy(t) = {U (t – 2) sin(2(t – 2)] Oy(t) = cos(2t) + U (t – 2) sin(2t)
Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u...
please answer question 4-7
Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Solve the given differential equation. (x2 4) dy (2x - 10xy) dx + 1 + 5 2+4)5
Problem 1 (20 points) Consider the differential equation for the function y given by 4 cos(4y) 40e 2e) cos(8t)+5 eu 2t) sin(8t)/ - 12e - 0. 8 sin(4y) y a. (4/20) Just by reordering terms on the left hand side above, write the equation as Ny + M 0 for appropriate functions N, M. Then compute: aN(t, y) ayM(t, y) b. (8/20) Find an integrating factor If you keep an integrating constant, call it c (t) N and M M,...
More than one option could be correct.
Question 3: (4 pts) Fill in the circle next to each vector-valued function that parameterizes the ellipse 4.x2 + y2 = 4 in the xy-plane. A Fi(t)= (t, V4 – 412) B r2(t) = (2 cos(t), sin(t)) © F3(t) = (cos(t), 2 sin(t)) D F4(t) = (cos(t), 2 sin(2t))
PLEASE ANSWER EACH QUESTION FOR UPVOTE! THANK U!
1.) Which of the following parametric equations are equivalent to
the polar equation r(theta) = cos(theta) cot(theta)?
A) x = sin^2(theta) and y = sin^2(theta) cot(theta)
B) x = cos^2(theta) and y = cos^2(theta) cot(theta)
C) x = cos^2(theta) cot(theta) and y = cos^2(theta)
D) x = cos(theta) cot(theta) and y = cos(theta)
2.)Which describes the parametric equations x = 2t and y = 4sin
t?
A) y = x^2 + 2...
Question 4 Solve the differential equation. 2xy' + y = 2V* Question 5 Solve the initial value problem xy' + y = xln x , y(1) = 0 Question 7 Find the derivative. c = tet, g =t+ sin t Question 8 Find the equation of the tangent to the curve at the given point. x = ť – t, y=ť +t+1 ; (0,3)
Find the position vector for a particle with acceleration, initial velocity, and initial position given below. a(t) (4t, 2 sin(t), cos(2t)) 5(0) (0, 5,5) r(t) Preview Preview Preview The position of an object at time t is given by the parametric equations Find the horizontal velocity, the vertical velocity, and the speed at the moment wheret - 4. Do not worry about units in this problem. Horizontal Velocity - Preview Vertical Velocity- Preview Preview peed-
Find the position vector for...
I just need help with question F
An object is moving around the unit circle with parametric equations x(t)=cos(t), y(t)=sin(t), so it's location at time t is P(t)=(cos(t), sin(t)). Assume 0 < t < pi/2. At a given time t, the tangent line to the unit circle at the position P(t) will determine a right triangle in the first quadrant. (Connect the origin with the y-intercept and x-intercept of the tangent line.) The identity sin(2t)=2sin(t)cost(t) might be useful in some...
Determine the order of the given differential equations; also state whether the equation is linear or nonlinear. w (a). y = (sin t)y (b). (2 + y)y" – 4y = cos 3x.
Please show work
Question 14 5 pts Use the Laplace transform to solve the given initial-value problem. y" + 4y=f(t – 2), y(0) = 1, y (0) = 0 Oy(t) = cos(2t) + U (t – 2) · sin[2(t – 2)] Oy(t) = {U (t – 2) sin(2t) Oy(t) = {U (t – 2) sin(2(t – 2)] Oy(t) = cos(2t) + U (t – 2) sin(2t)
please answer question 4-7
Prove the arithmetic properties of the Cross Product 1. 2. a. Line L1 is parallel to the vector u Si+j, line L2 is parallel to the vector u-3i +4j and both lines pass through point P(-1,-2). Determine the parametric equations for line L1 and Lz b. Given line L:x(t)-2t+8,y(t)-10-3t. Does L and Ls has common 3. a. Find the equation of the plane A that pass through point P(3,-2,0) with b. Given A2 be the plane...
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