Q-IV) ---- Let u b. be vectors in R. (a) Verify that B (u, v, w) is an orthogonal basis for R. (b) Use (a) to find the weights e. and es such that b=qu +cv +w

Q: (1) (2x – 3)* dx (2) 1 dx 0 *+5

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Q: cos(x) f(x) = 1- cos(x) In solving the antiderivative of by miscellaneous substitution, the…

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Q: Q2 Find the limits h +h cosh 1- lim Sinh cosh 2-lim S4ズ メ 2x-8

A: To find the limits of given . L' Hispital's Rule is

Q: QUESTION 13 Given vectors u = (-29, -16) and v = (-37, -18), find vector u - v. Provide your answer…

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Q: Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9…

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Q: 1-4, apply the Jacobi method to the given system of In linear equations, using the initial…

A: As per our guidelines we are supposed to answer only one ques .  Ques 1 : 3x1 - x2 = 2 x1+4x2 = 5…

Q: 50 (s² + 15s + 2) 25s2 + 202s + 25

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Q: Question 6 The tangent to the curve y = 1/x intersects the r-axis at (v2,0). What is its…

A: Solution

Q: [0 1 0 1 0 1 0 1 0 Consider the 3 x 3 matrix . A = A) Draw a graph whose adjacency matrix is A. B)…

A: The adjacency matrix of a graph given is as follows: A=010101010 (a) We are asked to draw the graph…

Q: 10 A thermometțer showing 10°C js brought into a room whose femperature is 27°C After 5 mīnutes , it…

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Q: 2. Use Stokes' Theorem to evaluate ſ. V × F·n dS where F(x, y, z) = and C is the part of the sphere…

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Q: Q4) Find plane area inside the polar function r 2 and outside polar function r = -2cose in second…

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Q: Let V = (3, 00). For u, v e V and a e R define vector addition by u H v := uv – 3(u + v) + 12 and…

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Q: [1 2 If D = 2 -1 0 3 and E = , find 0 3 2 -1 [1 5 6 If F = |7 1 3.G 4 0 6] and H = |2 1 7 [4 5 1 [5…

A: We want to perform the matrix operations FE and EF

Q: /1- y?)dx = 0

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Q: 1.5 3-y QI) Evaluate the integral dx dy using polar coordinate

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Q: Q2/ Fit a second - order polynomial to the data in the following table: 5 1 4 2 Y 2 3 4 -1 4 6. 6 00

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Q: Q1) Evaluate the integral S dx dy using polar coordinate y 2-y

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Q: QI) Evaluate the integral dx dy using polar coordinate

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Q: | 2 3 4 3. 10 21

A: Here least square method cant is used for this function. The reason is given in the next step.

Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: 1. The sum of any two even numbers is an even number. 2. If a number with three or more digits is…

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Q: points f(x) = - (2x^3/3) + x^2/2 + 45x + 1 and determine the nature of the stationary point in each…

A: Introduction: It denotes a change in function from concave down to concave up or vice versa. In…

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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Q: dz + (y + z) dx dz surface of sphere

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Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0

A: The given differential equation is dy - 2x1-y2dx = 0

Q: 5coshx+3sinhx=4,then what is the value of x

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Q: Find the absolute extrema of the function 2/3 f(x)=(x+1)** in [-2.1], if there is a -2

A: Given function is f(x) = (x+1)23  in  [-2, 1]

Q: Give example open set is compact

A: An example of open compact set is attached in step 2.

Q: 1 1. Let ui = u2 = 2 and u = U3 -5 Let Wi = Span{u, u2} and W2 Span{u3, u4}. %3D (a) Show that the…

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Q: (1+x)-3=1-3x+6x2-10x3........ with ex= 1+x +x2/2 +x3/6............

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e*; t = 0 T(0) = N(0)

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Q: Question 5 Find a 4x4 matrix A (NON-ZERO ENTRIES ONLY) with 3 eigenvectors coming from a single…

A: To find a 4×4 matrix A with non zero entries such that there are 3 eigenvectors for a single…

Q: Q4) Find plane area inside polar function r = 2 and outside polar function r = -2sine in third…

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Q: ion corresponding t + bx) e³× is given by en (a - b) is

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Q: X e* =2 0.750 O 0.937 O 1.750 O 0.853 O 0.875 O

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Q: Give the relation R induced by the partition above on A.

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Q: 1 In solving the antiderivative of f(x) = 2- sin(x) by miscellaneous substitution, the substitution…

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Q: Identify whether the following improper integral converges or diverges. If it converges, find its…

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Q: Is the following series convergent or divergent? Explain your answer. (1+x)-3 = 1-3x+6x2- 10x3…

A: The nth term of the sequence is given as follows:

Q: EXERCISE 3 Sketch the graphs of the following linear functions. Determine and indicate the…

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Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

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Q: 4) Let x be the twor diminsional spore cquipped with the scolor product. ke subspace Yis gitn by the…

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Q: How Fnd the Goneral soluhomfor dhe following %3D

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Q: Q1) Evaluate the integral Sdy dx using polar coordinate

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Q: If A = -2 - 3i, and B = 3 + 4i, what is AB?

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Q: A continuous random variable X has the distribution function F(x) = 0 if x 3 The value of k is

A: Given distribution function is  F(x) = 0ifx<1k(x-1)4if1<x<31ifx>3

Q: (b) Compute two iterations (x2, va) of Newton's method starting with (xo, yo) = (1, 1) to estimate…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin +0) in…

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Q: 2 -1 3 -1 3 If A = and B = 2 2 -1 find: ЗА - 2В A +2 (В — А) -5 (A + 2B)

A: Given matrices are A = 2-13012  and  B = -13-12-11