(1-x)y" - 2xy + n(n+i)y =0 [ Legendre Equation] |

Q: Solve %| 1+9x² ) dy + x³y² = 0 .

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Q: Find, if possible, A+ B, A- B, 2A, 2A – B, and 8+A. (If not possible, enter IMPOSSIBLE in any single…

A: According to guidelines i solve first 3 subpart so kindly request you to repost the remaining…

Q: -1 Consider the lines lį : ,- 2 1- x z - 3 = 2– y = =+1 and lz :5- y - 2=. %3D 2 3 Find the equation…

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Q: 27TT 5. x = y? and x + y = 2 is revolved about y = 1. (Answer: с. и. ) %3D 2

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Q: Find the area of the surface generated by revolving the curve about the given axis. x = 6 cos(e), y…

A: Solution

Q: Find the domain and range. {(-4,4), (10, 2), (-8,-6), (–8, –9)} o domain = {-4,-8, 10, 8} range =…

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Q: 11 In Figure 1.6, OP is a radius of a circle with centre O and radius r. A point Q is chosen on OP…

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Q: Find the span (S) of the following R³. State whether S is linear in

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Q: Write a linear trend math problem. Create a description of a scenario involving the spread of an…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x. The value of…

Q: A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

A: Given that Rt=sin3t,cos3t,3−4t

Q: 1. Consider the lines x = -1+ 2s 3 – z l1 : 2 and l2 : y= s 4 -2 z = 5+ s а. Find two unit vectors…

A: This is a question of vector Algebra.

Q: y"' + 3y" + 3y' = y y(0) = 7, y'(0) = -7, y" (0) = 11 %3D

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Q: 5 Let the torces vector field F: TR?-TR',with a,6 € TR, where F(a,y, 2) = (ax+ x4, x%by+22 y) Find…

A: F is conservative force and so there is a scalar potential.

Q: Let M = {C : )-C : )-C : 26:96: Then M is a basis for M23 the above None of the mentioned M3,2

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Q: the following functions Analytic or not? f(z) = %3D Z-z3 i f(z) %D 26 f(z) = -2* (cosh 2y – i sinh…

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Q: Let W = {1+ ax + bx? E P2: a,b ER} with the standard operations in P2. Which of the following…

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Q: 48. Let f be a function defined on ]0, 1[ by : 0, if x is irrațional f (x) = {1/q, if x=p/q; where p…

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Q: 2 2 -32 1 1 -2 Which of the options shows the graph of a function that has a local minimum but no…

A: Local minimum: Local or relative minimum is that point which is lower than the other points…

Q: •MMD1:ro AV% Then M is a basis for M2,3 O the above M3,2 O the above O None of the mentioned

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Q: 8. Use finite differences method to classify the following relations as linear, quadratic or…

A: In this question, the concept of the finite differences method is applied. Finite Difference Method…

Q: (a) Discuss the two expressions -2 (x;- F )² and -7), both of which are uscd (n –1)=1 (n-1 to…

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Q: Kelly purchased her first new car last week for $20 406, taxes included. The loan representative at…

A: The depreciation equation for an amount P whose value is decreasing at  a rate of r% per year for n…

Q: II. Consider the function g defined by 1 g(x, y) = cos (Tx Vy) + log3(x – y) | 1. Determine dydx 2.…

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Q: Which of the following statements is true about the function f whose derivative is f'(x) = (x – 1)(x…

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Q: Shelia and Allison ate lunch at a pizza buffet. Shelia ate three slices of mushroom pizza and seven…

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Q: 2. A particle is moving in space with position function Ř(t) = (sin(3t), cos(3t), 3 – 4t). 2.1. Find…

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Q: Given the differential equation dy x +1 y = 1- y > 1, x> -1. dx (x – 1)(x + 2)' a) Find the solution…

A: Use variable separable.

Q: 1. A supermarket employee wants to construct an open-top box from a 14 by 30 in a piece four corners…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: dy Find if dx y = (3x2 + 6x – vx)(5x + + 10). DO NOT SIMPLIFY.

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Q: cos²0 + 2sin0cos0 = –sin²0

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Q: Determine the Laplace Transform of e 12 cos v 7t + sinV5 - 3

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Q: It is not possible to find a value for a so that the series 1 + na na+1 n=1 is convergent. Select…

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Q: 6. On a certain day, the depth of water off a pier at high tide was 6 m. After 6 h, the depth of…

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Q: Given vector a - (4,-2, 3) and b= (0, 3, -5) find: 1. Jal 2. a 5 3. the angle between a and b 4. la…

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Q: 3 Celia plans to invest £4500 that offers r% nominal an. compounded monthly. Aft has £5803.94 in the…

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Q: Calculate: a) median b) first quartile

A: )a) find the median class interval frequency cumulative 90-105 24 24 105-120 62 24+62=86…

Q: ned area between the graph of the function f(x)=−5x^4−6 and the x-axis over the interval…

A: Introduction: The formula of the area between two curves is given by, A=∫ab(f(x)-g(x))dx

Q: Let W = {(" ) :a + 2c = 0 and b-d = 0} be a subspace of M2.2. Then dimension of W is equal to: O 4 O…

A: Dimensions of the subspace of a vector space

Q: Let R be the region bounded by the x-axis, the curve y = 3x*, and the lines x = 1 and x = -1. Set up…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x2, a = 10 O A. P3(x) = 100 + 20(x…

A: Find the Taylor polynomial of order 3 generated by f at a.  f(x) = x², a = 10

Q: Question 3 lecture is online". Write down, Given the statement: "If the tube strike happens then the…

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Q: Motion on A Circle An object is traveling on a circle with a diameter of 17 ft. If in 32 seconds a…

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Q: Suppose a researcher is surveying four subjects: subject A, subject B, subject C, and subject D.…

A: B. Subject B.

Q: y" – 25 y = sin(3t), y(0) = -2, y (0) = -1. %3D Evaluate L {sin(3t)} using the definition of the…

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Q: If A is an mxn matrix, then the row space of A is a subspace of: O A. Rmn B. R". O C. R". n-m

A: Given that A is an m×n  matrix, then the row space of A is a subspace of :

Q: tind the rematning f the spherical trianglet a = 116*23'08" B = 127° 30'52", =900

A: The important thing to be noted about spherical triangles is that the sides of a spherical triangle,…

Q: 1 - x 1 2 - y = z +1 and l2 : х — Consider the lines l1 : = y – 2 = 3 || 2.

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Q: Prove, using mathematical induction that for an integer n 2 1, 1+5+9+... + (4n – 3) = n (2n – 1).

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Q: For y = x3-7x2+15x-9 from x=1 and x=2 and above the x-axis, find the volume that results from…

A: The volume of the solid can be calculated by using the following formula.

Q: 7 In the interval T, 27|the equation sin x = - 8 O (a) has no solutions (b) has one (and only one)…

A: We are given sin2x=78 and we need to find the number of solution in interval [π, 2π]