Let u= and w- Find the unique vector v in R'such that u.v 1, v is orthogonal to w, l|v|| V3, and y> 0. (Hint find the bounds for , first).

Q: 6. Find the temperature distribution in an infinite bar with c= 1 and initial temperature 4 f (x) =…

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Q: Qi oraw Bhe fmelion y=メッリ

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Q: Find the Green function of L[x] = x" on [–1, 1].

A: As per the question we have to find the Green Function of the operator L , defined as : L[x(t)] =…

Q: -0.5] H-B-E 0.5 0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 -0.5 0.5 -0.5

A: Follow the steps.

Q: By Gauss-lordan Method, solve the following system of linear equations. x+y+z+ w = 10 x- y+z-w = -2…

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Q: Which of the following linear transformations is 1-17 (a) T(z,y)=(x+ y, z + y) (b) T(z,y) = 2r + 3y…

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Q: Draw the graph of the piecewise function, g(t), and use the methods in 7.3.2 to find its Lap…

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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: Q18: Select the incorrect step while evaluating . , dx. e x2-7x+10 x-8 8. I: Let I = S; ;dx = ; odx…

A: Solution

Q: Ql Use Newton methed to find fis), f'ca) 9. to fool! 3. 8. 10

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Q: 53-S²+S-1

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Q: Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z × Y,…

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Q: Q38: If y = e2* sin 5x, then which of the following is true? e (a) y" – 4y' + 30y = 0+ - (b) y" –…

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Q: Q4/ solve the equation by Newton -Raphson Method: F(x) = x* - 5x³ + 65 , start at x =2 , accuracy…

A: Follow the python script.

Q: Do infinite uncountable sets have the same cardinality? If yes explain why. If no give a counter…

A: No. Infinite uncountable sets may have different cardinality.

Q: If we have two different non-crossing drawings of the same connected graph, is it possible for the…

A: The given question is related with planar graphs. Suppose we have two different non-crossing…

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: Q2: Find the integration by applying substitution method: 7 dX (X - 1)VX- 2x - 48

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Q: Let V = R?. For (u1, u2), (v1, v2) e V and a e R define vector addition by (u1, u2) # (v1, v2) :=…

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Q: Q-IV) E-日--回 Let u b3- be vectors in R. (a) Verify that B- (u, v, w) is an orthogonal basis for R'.…

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Q: If the region R is bounded between two circles x² + y = 4, x² + y = 9, then we have: sin(Vx2 + y?)…

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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 2…

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

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Q: Define: what is an equivalence relation?

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Q: Find the equation of the tangent line to the curve y =4x-8 at the point (3.-2).

A: Equation of the tangent line to the curve

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Q: 3. (a) Show that the power series * does not converge uniformly for |2| < 1. k=1 (b) Show that the…

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Q: 2) 3) 12 4) 5) 미. 미이미。 미 미 미 미우 미위미위 미 미 미유 키4 2_3

A: 2. 2540-2440=140

Q: Note the word curve is used to indicate a graph and can be for example a straight line, parabola…

A: (2.1) Given curve, y = x2-4x+3 = (x-1)(x-3)

Q: Q42. The value of p and q respectively when (p + q) V p is false is? (a) T, T (b) T, F (c) F, T- (d)…

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Q: e2z dz, wher (z+1)“ prigin, Iz| = 3.

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Q: Question 18a. A disease propagates according to x' = 64 – xy – 12y %3D y = x - y where x represents…

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Q: Q-II) Use row operations to find the inverse of the matrix A 01 0 0 1

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Q: Using limits of Riemann sums, compute - 5x +1) dx. Then check your answer by using the Fundamental…

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Q: Let the characteristic equation of a 3 X 3 Matrix A be X3 + aX? + 47A eigenvalue of A is 4 and a is…

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Q: Q5) Find volume of body bounded by z 0 from below and z 4- y from above %3D inside y = x2 ,y = 4.

A: Volume bounded by the xy-plane

Q: 23) Evaluate triple integral S dz dy dx. x-y

A: Given integral is ∫02∫x22∫x-yx+ydzdydx

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

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

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