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Q: Find the general solution of the given DE (x-3y-1)dx-(x-3y+5)dy%3D0. Answer:

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Q: nd Solve:- Qz: Chassify - 3x dy +(3X+リ』= e

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB....

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Q: An athletic field is a 40 yd​-by-80 yd ​rectangle, with a semicircle at each of the short sides. A r...

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Q: Consider the sequence d = {5, - 5 5 2 > 4) 5 5 8> 16 ? .. a. What is the common ratio? b. What are t...

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Q: 6. Below are several statements about compact sets; some are true and some are not. Prove the true o...

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Q: (b) The rank of the matrix A is 2. (2 4 2 A =1 k 3 1 2 2/ (1) (ii) For this value of k, is A inverti...

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Q: Let H= Span(u, U2,u3 and K= Span{v,,v2,V3}, where each vector is defined below. Find bases for H, K,...

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Q: [2 + i 0 2i Lo 3il b. Value of y 北- 1 2i 6. a. Value of x C. Value of z

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Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: Let p : X Y be a quotient map. Let Z be a space and let g : X→Z be a continuous map that is constant...

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Q: solve the given wave equation utt(x,t) = uxx(x,t) u(0,t) = u(1,t) = 0 u(x,0) = 0  ut(x,0) = 1  ...

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Q: Write down the Euler-Lagrange equations associated with the following Lagrangian L(t, x, y, x°, y°) ...

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Q: Question 7 8e 3 Evaluate, 2/30° express your answer in exponential form. O 4e O 4ei 4ei ion O 4e No ...

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Q: Romberg integration is used to approximate f(x) dx. If f(2) = 0.51342, f(3) = 0.36788, R31 = 0.43687...

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Q: Tran siate the items into mathem atical sysmbol. For all po ritive in tegers y i eight minus y is eq...

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Q: 3x + 5; y = 3x – 1; Let R be the region bounded by the straight lines y y = 10 – 4.x; y = 8 – 4x. Co...

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Q: Ue grachical methods to sotve the fulowing inear programming problem 104 Maximize z=3x +y subject to...

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Q: use method of frobenius to obtain series solution of the equation; xy''+(4-x)y'+y=0

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Q: (d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

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Q: Find the solution of the equation +. cos y which tends to zero as x → 0o and has the value cos y whe...

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Q: (c) Calculate the population of a spherical cloud of locusts which lies in the ball æ? + y? + (z – 1...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first ques...

Q: dx + +x = 1 x(0) = x'(0) = 0 dt %3D %3D dt

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Q: Ex: 1. Let (an) and (bn) be two diverge sequence show that whether (an + bn) is converge or diverge ...

A: Multiple :    Let , an  ,  bn are two divergent sequence. We need to check that whether an + bn dive...

Q: Find all values of the unknowns which satisfy the matrix equation: [i 1 0] 0 2i 1 Lo [2 + i] 0 3il b...

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Q: B. EXACT EQUATIONS Find the general solution of the following differential eqo (1) (x2 +y2) + 2xy dy...

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Q: Is the following statement true or false? Explain your reasoning. If F = 2G, then dà = 2 G-dÃ

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Q: A ra nvironmentalists declare the insect endangered and transplant the insects into a protected area...

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Q: A complete list of the regular singular points for the differential equation æ (x – 1)² (x + 2)² (x ...

A: We have given differential equation ,  xx-12 x+22x-24y'' -(x-1)(x-2)3y' + xx-2y = 0 Compare with , p...

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 8 A = 16 30

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Q: [8] Write a negation for each of the following statements: Jim is inside and Jan is at the pool. Jim...

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Q: " Find all values of the unknowns which satisfy the matrix equation: [i 1 01 0 2i 1 2i o 0 3il

A: To find the values of unknowns x, y and z which satisfy the matrix equation.

Q: term

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Q: (c) Calculate the population of a spherical cloud of locusts which lies in the ball x2 + y?+ (z – 1)...

A: By our guidelines we are supposed to solve only one question. For the solution of the first question...

Q: 1- Pind m nx., min. and saddle points for the following fun ctions : * f = 4x* - 6 x y + 5y" - 20x +...

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Q: xye-(2²+v²+z*). Find all points (x, y, z) such that Vf(x, y, z) Question 2. Consider the function f(...

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Q: Draw a sketch of a position-time graph, corresponding velocity-time graph, and corresponding acceler...

A: (i) First draw a position-time graph such that vt≠0 at every point.

Q: a The number of directions (unit vectors) in which the directional derivatives of f(x v) = xe-xy at ...

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Q: Let G be an Abelian group and define H to be the set of all elements of G with finite order. Follow ...

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Q: Evaluate 3s – 5 - L-1 [(s – 5)(s + 2)²] |

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Q: 6. Compute the flux of F = [0, 0, z²] through the spherical surface S given as the upper hemisphere ...

A: To find- Compute the flux of F→ = 0, 0, z2 through the spherical surface S given as the upper hemisp...

Q: [9] Let A = {a, b, c, d} and B = {1, 2, 3}. Define a function F: A → B as follows: F3(а, 3), (b, 3),...

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Q: 1 -11 B = 1254 2 46 2 10 A = -1 1 3 7 45 %3D Let obtain B A

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Q: Simplify the following matrix expression (A -B)(A +6)- (A+B)* 2.

A: Introduction: Two matrices can also be multiplied. But, in general, matrix multiplication is not com...

Q: Find F(s) for f(t) = sin? 4t

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Q: The space I(p). Let p = be bounded sequence of strictly positive numbers, so that 0 such that that ...

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: 2. Let g (x) = xe. Let R be the region bounded by y = g (x) and the x-axis for x between O and 3. a....

A: We have to find the area and volume.

Q: 2. Is the following statement true or false? Explain your reasoning. If Si is a rectangle with area ...

A: Let us assume a rectangle in x-y plane, S1 rectangle has area 1, that is length×breadth = 1  Let us ...

Q: 2. In 1998, the average annual cost of a public college was $8,850 and costs were climbing by 8% per...

A: 2. The general form of the formula is final value = initial value×1+r%t The formula we have to use h...