what is the vertical intercept of (1,750) and (2,562.5)

Q: Evaluate: ²³²₁₁¹[z³(x + y)³] dz dy dx

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Q: Evaluate: £²³₁ ²[(x²-²²] du dt x+y

A: Given, double integral J=∫-13∫02(x2-y2)2x+ydu dt  we can write it as : ∫-13∫02((x-y)(x+y))2x+ydu dt…

Q: 5 Solve the differential equation (7-1) + x² ) dx + (1=x√x) dy=0

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Q: agram and shade the region for e ~B)]

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Q: Let : Q-7 be an epimorphism. a) Show that f(n)-n for every n e Z. Hand written plz

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Q: Question: Verify Green's theorem in the plane for (x³ − x²y)dx + xy²dy, where C is the - C boundary…

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Q: Find the general Solution of the following PDES ди -5X -3x 17 9 = 2 ди +u, ucx;o) = ду + 2 е ax…

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Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

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Q: In each part, solve the linear system, if possible, and use the result to determine whether the…

A: We have to solve the linear system and use the result to determine whether the lines represented by…

Q: = r dz dr de where R: 0≤ the solid R. √3x² + 3y² and below the w the solid B

A: To find the given triple integral as,

Q: If 0±x#1 in a field R, then x is an idempotent. ю чо о

A: Given that in a field R, 0≠x≠1. We can find an element x in a field R such that x is said to be an…

Q: Define a relation T on R by xT y if and only if (sin^2) x + (cos^2) y = 1. (a) Prove that T is an…

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Q: Find the eigenvalues and corresponding eigenvectors for the matrix 8 -8 -2 A 4 -3 -2 3-4 1 Write…

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Q: 20. Marta purchased a sweater for $15.67, a pair of socks for $2.13, and a bracelet for $6.78. For…

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Q: Let f: RR be a continuous 27-periodic function whose Fourier series is +∞ 1 1/2 + + /20 cos(nx). n=1…

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Q: Q1) Evaluate whether these statements are a tautology or not: 1) (pg) → (~q"p). 2) If p and q, then…

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Q: dV = r dz dr de where R: 0< Draw the solid R. z = √√3x² + 3y² and below the Duom solid

A: Using the volume of cylinder and the solid is given as,

Q: Find and classify the critical poruts g a te functions f(x,y) = exsing f(x, y) = excosy

A: 1 Given function is fx,y=exsiny. We have to find the critical point of fx,y. Differentiate…

Q: I. Solve the following Linear Systems of Equations by Gaussian Elimination: 1.) 6x + 2y4z = 15 -3x -…

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Q: 6. Evaluate the line integral y dx + xy dy where is the rectangle with vertices (0,0), (5,0), (5,…

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Q: (E-₂) = given the linear transformation T: R³ → R² where T 7 (EFD)-6) and + (ED-C¹₂) a. If it is…

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Q: Determine the values of r for which the given differential equation has solutions of the form y = t'…

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Q: (j) F= R, V = {vER: Un converges as n → ∞0}; (k) F= R, V = {v ER: un converges absolutely as n→ ∞0};…

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Q: show that V(x, y) = x 'f (2x+y) is the general Solution of X dv 2x dv ду = V ax

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

Q: 2n+2 Σ (3k + 2n) + k=0 =

A: The given summation is                          ∑k=02n+2(3k+2n)

Q: show that $(x, y, z) = 8²4 PDE : 2²0 дуг дуг + 1 2 x² + y² + z² 824 dz² satisfies the

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Q: If a brute force method is used for solving a 10-city traveling salesman problem, how many…

A: Solution :

Q: 2 The tangent plane to the graph of the function ƒ : R² → R defined by f(x, y) = −1+ cos(xy) +…

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Q: Solve the initial value problem. 4 -4 4 y' = 3 -3 - 10 2 15 y, y(0) 1 = 16 14 6

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Q: Find the volume of the solid that esults when the shaded region is evolved about the indicated axis.…

A: Solution :

Q: Q1\ A\ Define and give an examples with its solutions for the following terms: (1) Strongly…

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Q: Q5/Solve for x the following inequality and show their solution set (x: x2-x-30-01

A: We have to solve for x. Given inequality is  x:x2-x-30⩽0. Now we can solve for x .

Q: Q5/ Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: A. Sequences 1. Given that a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4. 2. Given…

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Q: 8 Consider A = {z EC [2] <2}. The complex line integral 1 Jan 2² (z − 3i) dz T 8A equals: (A) 0 (B)…

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Q: Find the area of the region bounded by the curves 1 y = y = 4 and the x-axis using vertical strip.…

A: We have to solve given problems:

Q: By using the method of least squares, find the best line through the points: (−2,−1), (0,−2),…

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Q: 20 j ΣΣ (2k + 3) = j=5 k=0 = 2n+3 Σ (n + 5k)3 k=0 first step 2nd step final answer first step and

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Q: The equations of motion of three equal masses connected by springs of equal stiffness are i = -2x+y…

A: Problem is solved using concept of eigenvalue and eigen vector.

Q: (0₁-≤x≤0 Q.7 (a) Obtain the Fourier series of the function f(x) = { 1,0 ≤x≤# (b) Show that, f du =…

A: For second part we use the Fourier cosine integral representation of a function

Q: Evaluate the integral: 2е π/3 10₁52²² ƒºƒ²² ƒ/³ t ln u tans ds du dt 0

A: To Evaluate: ∫-10∫e2e∫0π3t lnu tans ds du dt

Q: 3. of the solid enclosed by the hyperboloid z = Set-up the iterated double integral in polar…

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Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Show your solutions to the following using Bisection Method and False Position Method. Write legibly…

A: As per the question we are given the following function : f(x) = 3x + sin x - ex And we have to find…

Q: -4 3 (x²-y²)²] x+y Evaluate: ₁ du dt

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Q: Given Complete the venn diagram A = {4, 5, 20, 10, 5, 13, 15, 17, 12} B = {5, 7, 9, 12, 15, 14, 13,…

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Q: Prove that the function f: R - {2} R {5} defined by f(x) = 5x + 1 * - 2 is bijective.

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Q: Evaluate: 2²₁₁ (4x²yz - ) dz dy dx

A: evaluate  I=∫23∫-14∫104x2yz-z44dz dy dx integrate the function I=∫23∫-142x2yz2-z52010 dy dx…

Q: A mass weighing 5 lb stretches a spring 9 in. If the mass is pushed upward, contracting the spring a…

A: Given information is weight  w = 5 lb And, mass m =wg =532  lb s2/ ft k= Fs 14 = 514 =20  lb/ft As,…

Q: Find the area of the region bounded by the curves 1 y = (x+6)²² y = 4 and the x-axis using vertical…

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