x² - 9 lim x-3 x-3

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Q: Use part (iii) of the rank of a matrix by row reduction theorem to find the rank of the given…

A: Sol:- 1-22-45135Reduce matrix to reduced row echelon form 1  ⋯  b 0 ⋱  ⋮0  0  1Swap matrix rows: R1…

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Q: Find (u - 3v) · (3u – v), given that u u = 9, u v = 6, and v . v = 8.

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Q: 3.49. Find the inverse Laplace transform of the following X(s): (a) X(s)-- .Re(s) > -1 (b) X(x)= (c)…

A: Given  a   Xs=1ss+12 , Res>-1b  Xs=1ss+12 , -1<Res<0c   Xs=1ss+12 , Res<-1 To find :…

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Q: 23. Which of the rational functions below has a hole? A. 1 B. C. 22

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Determine whether f is continuous, piecewise continuous, or neither on the interval 0 ≤ t ≤ 3. 3t, 0…

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Q: Verify the Cauchy-Schwarz Inequality for the vectors. U = (9,5), v = (4, -2) Calculate the following…

A: Given u=(9,5),v=(4,-2). We have to verify the cauchy-schwarz inequality for given vectors.

Q: Compute the monthly payments for each add-on interest loan. The amount of the loan is $1300. The…

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Q: Solve the nonhomogeneous recurrence relation hn ho h₁ = = 4hn-1-4hn-2 +3n+1, (n ≥ 2) 1 2.

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Q: Using intermediate value theorem, the equation x³ - 3x - 15 = 0 has a solution over O 12,3[ O13,4[ O…

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Q: Sketch and identify the graph of 22. Y 4 1 using level curves at k = -2,-1,0, 1, 2

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Q: 6. Find (0) for a solution (x) to the initial value problem (sec x)dy = 2√y+1dx; (π) = 3 -3 0-2 02 3

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Q: Let S be the surface given by the first octant part of the paraboloid z=4-x^2-y^2. Find the area of…

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Q: For a given function f(x), the divided-differences table is given by: Xo = 0 x₁ = 1 x₂ = 2 X3 = 3…

A: Given that the divided difference table is

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x − 1)² +…

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Q: Find the values of that satisfy the given equation. A₁ = 1₂= -32-144₁-0 =

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Q: 5 -12 6 8 8 -] , V2 = 1 1 Find the eigenvalues of A, given that A = and its eigenvectors are v₁ =…

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Q: Using intermediate value theorem, the equation x³ - 3x - 15 = 0 has a solution over 12,3[ O13,4[…

A: Given x3 - 3x - 15 = 0

Q: Question 27 Suppose that P₂ is an inner product space with inner product given by evaluation at-…

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Q: Which is NOT equivalent to cos2x? 2 cos²x - 1 cos²x - sin² x 2sinxcosx 1-2 sin²x

A: We have identity  cos2x=cos2x-sin2xcos2x=1-2sin2xcos2x=2cos2x-1sin2x=2sinx cosx

Q: Find the area bounded by the curve y = x² – 3x 3x and y + 4 = 0

A: We have to compute the area of the region bounded by the curve y=13x3-3x and the line y=-4 using the…

Q: t... p. e ns. The counts of each color of beads available to the child is given in the following…

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Q: Let the space curve be the intersection of two surfaces z = x² + y² and y² + z² = 1. Draw this curve…

A: As per the question we are given two 3d surfaces defined by the equations : z = x2 + y2   ;   y2 +…

Q: Solve the initial value problem below using the method of Laplace transforms. y" +8y' +12y = 21 e¹,…

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Q: 3n-4n1+1

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Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (w²-2²-4z-1))dw + 2w(z + w + 2) dz = 0

A: Given : w2 - z2 - 4z -1dw + 2w z+ w +2  dz=0 To Find : Solution of differential equations

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Q: 5(a) Find the Fourier transform for the following function: f(t) = {e-31 0 . t> 0 ,elsewhere

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Q: (7) Determine the upward flux of ▼ × F through the part of the elliptical cone C = {(x, y, z)|z = 2…

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Q: 1 Given the matrix A = 2 3 3 2 3 1 6 5 4 5. 97 85 (a) Find a basis each for N(A) and C(A). What is…

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Q: Which of the following functions is the result of the transformation of f(x)=logx. The function f(x)…

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Q: Permutations & Combinations Use the following information to answer the next question In the first…

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Q: 6. Let S be the region bounded above by the paraboloid z = 1 - x² - y² and below by the ry-plane.…

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Q: Which of the following values of angles is a solution to the following equation: (√3 tanz-3) (80 (8…

A: Sol:- 3tanx-38cosx+8=0Solving each part separately3tanx-3=0  or   8cosx+8=03tanx-3=0tanx=3x=π3+πn

Q: Let A be the matrix below. Find the singular values of A and enter them as a Use the square root…

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Q: 1. Find (0) for a solution (x) to the initial value problem: dy = dx -2 x+3 O-3/2 O 1/2 O 2/3 02 ;…

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Q: (f) S. (1 - 2²) 0 (h) dx 1 S² (z (2²-2)) 0 (x(x dx

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Q: Problem 3. The vector b = 13] 24 is in the subspace with a basis 3 GED coordinates of b relative to…

A: Given vector is b = 1324-5

Q: la + (-1) b + (-1) c + 4d + 7e 2a + (-1) b + 0c + 5d +9e et T(a + bx + cx² + dx³ + ex¹) = -7a+ 4b+1c…

A: Remember. Orthogonal Complement of column space of A is equal to Null space of A transpose or…

Q: Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of Intersection of the…

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Q: • tan a = 2√√6, a € [0, π] 3 cos 3 = 5' Find the numerical value of the following: and sin 3 <0 1)…

A: We will use trigonometric identity . While using values of trigonometric ratio we need to take plus…

Q: Use part (iii) of the rank of a matrix by row reduction theorem to find the rank of the given…

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