Evaluate fR z = Jx2 + y2 x2 + y2 + z2dxdydz, where r is the region bounded by the plane z = 3 and the cone

Q: Question 10 : Find all values of k for which A is diago- nalizable, given that A =

A: Here i include both real and complex cases

Q: ponent form of u +v given the = 8, 8, = 9 %3D

A: Introduction: We know that the component form of v along the x-axis is rcosθ and the component for…

Q: 21 Given the matrices, A = (2 -3) and B = -3 2 find the product AB? AB = (-4 - 3) AB = (-7 1) AB =…

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Q: Sketch the graph whose incidence matric, C, is given below. Then verify that L = CC^T, where L is…

A: Given: C=-10110001-10011-10010000-1-1-1 To sketch: Graph whose incidence matrix is C.

Q: Question 12 Find the solution. dy 2y -2xy dx Ay = x2(x+c)2 By = x(x+c) ©y = x?(x-c)-2 Dy = x (x+c) 3

A: Given Differential equation is dydx - 2yx = 2xy   ⇒ 1ydydx - 2yx = 2x

Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: Find the solution. dy 2- y?=2xy dx (A) (B) y 3 (D) y = 2x Question 11 Find the solution. d³x d?x dx…

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Q: (c) For "n = 2 determine the rank of M depending on a. f: R2n → R", fi(x)=r; + a• Im+1- für i =…

A: As per the question we have to find the rank of the matrix M defined as : f(x) = Mx Where f : R2n ➞…

Q: Problem 1. Give examples of a metric space (X, d) and: (a) an open set that is not closed, (b) a…

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Q: 4. Let 10 07 A = 0 1 0 -2 01 (a) Find a matrix C in reduced row echelon form that is row equivalent…

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Q: 3. Use the given graphs to sketch the graph of Ax) + g(x). Explain your process. [A3] [C2] g(x) Ax)…

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Q: NOTE: Solve this as soon as possible, I need this urgently D = 2 4 [2 5 -1] Let -1 and A = |D 1 -2|.…

A: Given that u→=4−14 and A=25−1D1−2120. Given D=2 Hence, A=25−121−2120. We have to check whether the…

Q: Q2 Let f(x) = 2x³ – 0.0064x² – 1.5x + la (a) Indicate that f (x) = 0 has a root in the interval [-3,…

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Q: Find the solution. (D4+2D³ + 10D²)y =0. y = c,+c,x+e¯*(c,cos3x +c,sin3x) C B y = (c,+c,)x+e-(c,cos3x…

A: Given Differential equation is D2+2D3+10D2y = 0

Q: Suppose you are solving a system of linear equations using Gauss Jordan Elimination and you arrive…

A: We have to find the correct option from the given problem.

Q: 1. Q-1: Answer each of the following as True or False justifying your answers: 2. = ()*; } 100 If A…

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Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

Q: f(x)= sen (2x) f(x)= sen (2x) On = 0 f(0n) = sen(2x0) = 0 = 3.9269 %3D %3D %3D = 0.7853 4…

A: The given function is fx=sin2x

Q: s +7 (s - 4) (s + 3)

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Q: 13-Evaluate JJJ where E lies between the spheres x2 + y2 + z2 = 1and %3D zdV E x2 + y? + z? = 4 in…

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Q: For (3)-(4), let S be the set S := {A € Mnxn(R)| det(A) = 1}. 3. Prove that if A, B E S, then A is…

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Q: Prove that if 2^n+1 is prime then n is a power of 2.

A: Given, 2n+1 is prime To prove that n is a power of 2 if 2n+1 is prime

Q: A man buys a house for $320,000. He makes a $150,000 down payment and amortizes the rest of the…

A: Given: Price of house$320000, down payment=$150000, rate of interest (r)=13%, Total number of years…

Q: 2. Newton's Method and Secant Method _ Find solutions accurate to within 10-“ for x- 2x- 5 = 0 using…

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Q: 22 The cost of producing x units of a product is described by C(x) = 100 + 40x. What is the total…

A: Given C(x) = 100 + 40x

Q: 1 Expand f (z) = in the domain 4 < |z| < 12 (z-4)(z-12)'

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

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Q: Determine the requested value(s). 136°

A: consider O as the center of the circle since diameter is a straight line, therefore…

Q: 52х + 67y + 46z %3D 175 67х + 73у + 54z %3D 194 46х + 54y + 65z %3D 165

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Q: If A is a Hermitian matrix then A + jI is invertit Select one: True

A: If A is Hermitian matrix, then A is unitarily diagonalizable.  All the eigen values of matrix A are…

Q: Let g(x) = evcos a+a. Approximate the value of g(0.2) using the second degree Maclaurin polynomial…

A: The given problem is to approximate the value of g(0.2) using second order Maclaurin polynomial of…

Q: Let f(x) = 2x³ – 0.0064x² – 1.5x + Ia (b) find the root in Q2 (a) by using Secant method. Stop…

A: By secant method if initial guess of roots for a function f(x) is x0 and x1 then next approximation…

Q: Find the shortest distance between the following lines.

A: Given, the lines                l1: x-9-14=y-9-1=z3l2: x-48=y+24; z=1

Q: fillowing wtegration o ん) )d Find the

A: # We are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: 3. Lagrange Interpolating Polynomial (. Find the second degree Lagrange Interpolating polynomial…

A: Given, f(x)=sin(πx)x0=1 , x1=1.25 , x2=1.6 To find: Second degree Lagrange Interpolating Polynomial…

Q: H.W:- Used Cramer's Rule to find the value of the variables in the following equations - 4x + 2y -…

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Q: Theorem 12. Let f be a non-zero continuous function on R such that f(x+y)-f(x) f(y) ¥x, yER. Show…

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Q: ) Find the general solution U(x,y) to the second order partial differential equation Uxy = 0.

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Q: 2. Write all formula's you have learned to calculate curvature.

A: We have to write all formula for curvature.

Q: -1: [8X1 marks] Let P, Q, R and S be the propositions: P: "Ahmad comes to the party", Q: "Salim…

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Q: Find the extrema of the function below 10 - (x-5)²- (y+3)²

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Q: y'+ty13=tan(t),      y(−1)=−1y′+ty13=tan(t),      y(-1)=-1 a) Rewrite the differential equation, if…

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Q: Find the value of the annuity at the end of the indicated number of years. Assume that the interest…

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Q: Solve the initial value problems.

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Q: 1) Show that F is conservative the find a function f such that F = Vf and use that function to…

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Q: Given: C = 250 + 0.8 Y (6 x 2 = 12) I = 150 G = 300 TR = 100 NX = 100 t =0.25 i) Find the…

A: Given, C=250+0.8 YI=150 , G=300, TR= 100, NX= 100, t=0.25 To find:  i) Equilibrium level of income…

Q: Two cards are chosen from a 52-card deck, how many ways can 2 Queens be choser

A: There are total of 4 queens in the deck of 52 cards.  We need to choose 2 queens .

Q: If f (x, y) = V3+ y³ In (x² + y³)ešin(zy+y*) + x² + 10y.then fz (1,0) = %3D

A: We need to differentiate the given function partially w.r.t x. The given function is: f(x,y)=x3+y33…

Q: Let [M|b] be the augmented matrix of Problem 9. Let v = be a solution vector. Double check your…

A: We have to solve the given system of linear equations.

Q: 6) The angle between any pair of lines in Cartesian form is also the angle between their normal…

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