Problem 7 Using the method of undetermined coefficients, find a particular solution yp of the equation y" – 4y' + 4y 2r + 6. Then find the general solution of this equation.

Q: 2. Determine if the given sequence converges or diverges. If it converges, what is its limit? (a) {…

A:

Q: Find a and b such that v-au bw, nhere u-(1, 2) and w- (1. -1) v - (4, 5)

A:

Q: 0/ifit was FCかy)2165(6w)30 2 -36 y? cos (6XY) .3 =36 Y'cos (6X4) -36 y'cos (6xY) 2. = 36 y'cos (6XY)

A:

Q: x² sinh x dx

A: Let's find.

Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

A:

Q: Verify that the two planes are parallel. -x + 6y + 2z = 7 %3! +3y +z 8 Find the normal vector, n,,…

A: We have to check whether the given plans are parallel or not or we have to find distance between the…

Q: nd the component form and magnitude of the vector v with the given initial and terminal points. Then…

A: We can solve this as follows:

Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: Determine if the sequence is increasing, and/or bounded. 3 — п (b) { (a) 1 — Зп - 3n n=1

A: Given

Q: 4. y = sec*e - tan*e

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 3. Find…

A: Polar form

Q: decimal number o.11 11 Eaual ^ true O evror

A: This is a problem related to decimal points conversion into p/q form. Please follow the procedure…

Q: Find the direction cosines and angles of u and show that cos a + cos B + cos? y = 1. (Round your…

A:

Q: The geometric series 4 5-2+ 5 16 + 25 8 32 125 625 is convergent. true false

A:

Q: The sum of the geometric series 1 3-1+ 3 1 + 9. 1 +- 81 - 27 is: none 13 914 OO O

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: Find the arc length of the parametric curve. x = e', y= et, V2t; 0<t<8 z = L =

A:

Q: 1) Sketch the curve. a) r=-2 sin 0 Show All Work

A: Given

Q: Find the vector component of v = (4, – 1, 7) along b = (4, 4, -7) and the vector component of v…

A: Given,            V= &lt;4,-1,7&gt;            b =&lt; 4,4,-7 &gt;

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: This question can be solved using the concept of equation of line passing through two given points.

Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

A:

Q: of the curve defined by x=3t-t anc

A:

Q: 4. So -dy Vy+1

A: To evaluate: ∫01yy3+1dy Substitute y3=u2⇒13y-23dy=2u du⇒13u4dy=2udu⇒dy=6u5du. As y→0⇒u→0, y→1⇒u→1…

Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

A:

Q: 5x(V1 + x-) dx

A: This question can be solved using the concept of integration by substitution.

Q: y" – 6y' + 9y = 0, y(0) = 0, y (0) 2. -

A:

Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

A:

Q: Find the direction cosines and angles of u and show that cos a + cos ß + cos y = 1. (Round your…

A:

Q: ||r'(t) × r"(t)|| ||r(t)| Use the formula k(t) = to find k(t). r(t) = 11 cos(t)i+ 11 sin(t)j + 6tk…

A:

Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A:

Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

A:

Q: Consider the following. u = 9i + 5j v = -8i + j + 6k Find u x v. 1li – 54j + 49k Determine if u x v…

A:

Q: Eliminate* the arbitrary constants c1 and c2 from the relation y = cje-2* + cze³* у" -у — бу %3D 0 O…

A:

Q: x2-25 The limit of the function f(x) = as x approaches 5 is equal to -10. 5-x TRUE FALSE

A:

Q: 1. y' + 2y = x²y³ .2.3

A: Given problem:- solve the given differential equation y' +2y=x2 y3

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A:

Q: Rewrite the Cartesian equation x = 7y as a polar equation. r(0) = Use the math palette or type theta…

A:

Q: 1. If x = cos t and y = sin? t, then dy/dx is 2. Find Zxyx if z = xe?y + ye2x. 3. If s 10 t? + 80/t,…

A:

Q: Solve the equation (x - xy + y )dx - xydy = 0. %3D O (y - x) el:) O (y - x) = cel)

A:

Q: ind an equation of the plane with the given characteristics. The plane passes through the points (4,…

A:

Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

A:

Q: Compute the following derivatives. Show in at least THREE steps how the chain rule or the outside-…

A:

Q: Lets compute a derivative in reverse! Given the function f(r) = e² + sinhr + + z find a function…

A:

Q: Which of the following is a particular solution to the differential equation dx when x = e5 and y =…

A: We are asked to find the particular solution of the differential equation

Q: J In(x² + 1)dx

A:

Q: Given the series: 1 1+ - 6. 1 1 + ... 36 216 does this series converge or diverge? O diverges…

A:

Q: Find the length of the arc from 0 = 0 to 0 = 2n for the cardioid r = f (0) = 2 – 2 cos 0.

A: Solution if r=fθ  has a continuous first derivativefor α≤θ≤β then length of polar…

Q: The graph of f is shown. Evaluate each integral by interpreting it in terms of areas. y y = fx) 8.…

A:

Q: sequential convergence Lim 3-8n h-oo n+2

A: