x ( x + 1 )y + 2y = ( x + 1 ) ; v(-1) = 2

Q: has a scalar potartial in the region Ro {iy = ).X} IR

A: Since you have posted multiple questions and we can answer one question. So, answered first question...

Q: [1+e¬27(s+1)](s+1) Find the inverse transform of s2+2s+2 A. e-t cost [1 + u(t – 2n)] B. e-t sin(t – ...

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as ∫0∞e-...

Q: If y = exp(-x²) show that -2.ry and hence prove that, for n > 1, %3D y(n+1) + 2.xy(") + 2ny("-1) = 0...

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Q: An endless chain of weight W rests in the form of a circular band round a smooth vertical cone wvhic...

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Q: Eváluate .2 c2 sin r dr dy. 0/

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Q: 1 -1 1 -1 2. Let A 1 -1 -1 a 0 1 (a) Express det(A) in terms of a. (b) Find any and all values of a ...

A: Given- Let A = a01-101-1a1-1a0-1a01 To find-  Express detA in terms of a. Find any and all values o...

Q: Question 18 > x3 + x2 + x + 10. Use the rational zeros theorem to list all possible zeros of the fun...

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Q: Find the mass of the solid bounded below by the circular paraboloid z = x² + y² and above by the cir...

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Q: Find all Bntire function f for all X, qE R. on So

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Q: Solve the system of DEs. -3 1 j'(t) ÿ+e-3t -3 1 2 |

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Q: Let W be the set of all vectors of the form shown on the right, where a and b represent arbitrary re...

A: Given matrix is, -a+1a-4b2b+a We can write the given matrix as, -a+1a-4b2b+a=a-111+b0-42+100 So, the...

Q: In this exercise, you want to show that a relation RC A? is transitive + R"C R for all n E N = {1,2,...

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Q: 13. x-x dx x² +x?

A: We need to evaluate the integral ∫13x-x-3x2+x-2dx ................ (1)

Q: Is a? y + y? a solution for 2 x y dx + (22 + 2 y) dy = 0 ? = C True False

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Q: The number of incongruent solutions of 105x = 45(mod60) is: 6 12 None of the choices 15

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Q: { be a basis for R? . Find the vector æ if [æ]R =| 3 Let B 8 x = x = 6. x = x = H 00

A: Given that B=11,21 be the basis for R2. We have to find vector x if xB=23. Since, xB=23 Hence,  x=21...

Q: A cone has a radius of 10 m and a surface area of 1200.77 square meters. Find its height in meters. ...

A: Let r be the radius of the cone, l be the slant height and h be the vertical height of the cone. We ...

Q: Let F(x) be the particular solution of the e2x differential equation Y"-2y +y = (e* + 1)? * What is ...

A: This is a problem of Non-homogeneous differential equation. In which we have to find particular solu...

Q: S i = x2 – y, lý = In 1 – x + x² – In 3.

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Q: Solve the given boundary value by using a = 0.05 ди a2u at ax2 u(0, t) = u(n, t) = 0 ; 0 0

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Q: 7 -5 9 4 3 3 -1 2 3 1 8. Let A = 1 -3 0 1 0 3 -1 7 0 2 (a) Find a basis for the row space of A, and ...

A: The given matrix is                                              A=7-59433-12311-30103-1702

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W and are freely jointed at there extrem...

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Q: The solution of the heat equation Uzz = Ut, 0 0, which satisfies the boundary conditions u(0, t) = ...

A: A partial differential equation is an equation containing more than one independent variable, depend...

Q: Let N = 7^11. Find the remainder of dividing 8^N by 13.

A: We have N=711 Since 711=1977326743 So we can write 8N=81977326743 We can write it as 81977326743=82×...

Q: Solve the differential equation using the fourth-order Range-Cata method t3 – 2y y' = t If you know ...

A: I think you misspelled the method name.I solved using runge kutta method

Q: Show that there are no integers x and y such that 165x^2 − 21y^2 = 19.

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Q: Find the area of an equilateral triangle with sides 3x - 4, and 2x+4. (Round off the final answer in...

A: We have to find area of given  equilateral  triangle 

Q: Test the following function for relative extrema. +y² - 2x +2y – 2xy 3

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Q: Find the given inverse transform L .((무) + (+) - (주) } { s2 S-2 O t+1+e2t O t– 1– e2t O t+ e2t Ot-1+...

A: Given that L−11s2−1s+1s−2. We have to find the inverse Laplace transform. Use formula L−1n!sn+1=tn A...

Q: nt A=P 1+ P = A A = Pe" Y=| -1 nt 1+

A: This is a problem of financial mathematics, counting.

Q: 4. y = v9 – x² , -2 <x<2 ;x-axis

A: Given that, the function is y=9-x2, -2≤x≤2, the area is revolved about x-axis. Note that, the surfac...

Q: Show that the serion n-1 父+ 父+n-1 is uniformly conrergont on any finite interval

A: Here, we need to show the series ∑n=1∞nx+1-n-1x+n-1 to be uniformly convergent. First, we will find ...

Q: -3 0 5. Let A = 3 -2 Diagonalize A and find A231. 2 -1

A: Remark: A matrix is diagonalizable if and only of for each eigenvalue of the matrix the dimension of...

Q: () - () - () - C) 6. + 2 6. = 1024 4

A: d. The given statement is 60+62+64+66=1024 We shall find the value of left hand side and check wheth...

Q: Determine whether the following statement is true or false. O False In the graph below, the path B, ...

A: Hamilton Path: A Hamilton Path is a path that goes through every Vertex of a graph exactly once.Hami...

Q: Question * If p is an odd prime, then 2р-1 %3D 1 (тоdр) O All of the choices This option 2P %3D 2 (т...

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Q: b. Solve differential equation, subject to initial conditions y" - 9sin 3x – 2 sin x-1; y(0)=3; y 0)...

A: An ordinary differential equation is an equation containing independent variables, dependent variabl...

Q: 30. Let B; be o-fields of subsets of 2 for i = 1, 2. Show that the o-field B1V B2 defined to be the ...

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Q: Q19// A scalar filed V = xyz exists over a surface S defined by x2 + y? = 9 bounded by the plane x-0...

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Q: Follow the instructions and solve.

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Q: QUESTION 7 n aircraft with a landing speed of 200 km

A: In this question, the concept of acceleration is applied. Acceleration The rate at which an object c...

Q: a) At 2 PM a corpse is found with body temperature of 32° C. Ninety minutes later its temperature is...

A: Note: According to Bartleby we have to answer only first question please upload the separately. Acco...

Q: Let u, = u2 = -1. and uz =0| Note that u, and uz are orthogonal but that uz is not orthogonal to sub...

A: Introduction: If two vectors are perpendicular to one other, they are said to be orthogonal. The dot...

Q: Write {2, 4, 6, 8} in set-builder notation.

A: Solution 

Q: Let f (2) = 77, 0 = 0, A = 8 and B= 8+8i. Let C, be the contour composed of the line segments OA and...

A: Given- Let fz = 7z, O = 0, A = 8, and B = 8 + 8i. Let C1 be the contour composed of the line segment...

Q: Let k e Zt. Let A be a set such that |A| = k + 1, and let a e A (i.e., a is a fixed but unspecified ...

A: Since you have posted a question with multiple subparts, we will solve the first three subparts fory...

Q: Question 5 A radar unit is used to measure speeds of cars on a motorway. The speeds are normally dis...

A: The solution to the given question is explained below.

Q: b. How many vectors are in Span{v1, V2, V3}? Select the correct choice below and, if necessary, fill...

A: We have to solve given problem:

Q: Suppose you wish to invest $150,000.00 in one of the products below. You are not allowed to withdraw...

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Q: Consider the following decision table. What actions are recommended by minimax reasoning? S1 S2 S3 3...

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