please sir solve parts  1 and 2, thanks alot sir

Q: Match the equations with the graph descriptions. ⠀⠀ y = log (x-2) + 3 y=-In(x + 3) - 2 y = log(x +…

A: TRANSFORMATION OF FUNCTIONS-: IF WE HAVE AN FUNCTION y=f(x),THEN (1) f(x)+k MEANS A VERTICAL…

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Q: 2 (22) (^²+ + ²)^ 2 1 20 = Convergence

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A: Given fx=x2 To prove: limx→3  x2 =9.

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Q: If * represents convolution, determine the Laplace transform of f(t) = 12t * e-3t

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Q: Find the eigenvalues of the given matrix. -14 -6] 36 16

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Q: Problem 1. a2x² + ... +a,x". Then (a) (b) (c) If A is diagonalizable, that is A = Prove that f(A) =…

A: Given that A is diagonalizable, that is A=QDQ-1. Suppose fx=a0+a1x+a2x2+…+anxn. (a) Therefore:…

Q: 3y²)k. Use the Divergence Theorem to evaluate SF. dS where Sis

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Q: Find an orthogonal basis for the column space of the matrix to the right. -1 7 1-7 1-3 1-3-2 6 4 6

A: The given problem is to find the orthogonal basis for the column space of the given matrix.

Q: em 8.5. Let a 2 100. We have (x) > log loga.

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Q: Using Lagrange interpolation, find the value of y at x = 8 Given y(0) = 18, y(1) = 42, y(7) = 57 and…

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Q: Find the Equation for the Graph of a Logarithmic Function

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Q: Question 9 Find the potential function f for the field F. Here you can assume that the vector field…

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Q: II. Let S be the portion of the cylinder x² - 6x + z = 4, oriented by upward-slanting normal…

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Q: Calculate the flux of the field F across the closed plane curve C. F = yi - xj; the curve C is the…

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Q: 3. Find an orthonormal basis of the range of the following matrix: 3 0 2 3 -1 0 2 0 Show your work…

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Q: 2. Let f be a function defined for all real numbers x -uch that f'(x) < 0 and f"(x) < 0. The table…

A: here we will use relation between a function f(x) and its derivatives to find possible value of W

Q: 5) Find the divergence of (√x² +y + Z ¯) (î + y} + zk)

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Q: Use the divergence theorem to evaluate the surface integral ∫∫S◯F⋅NdS where…

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Q: If the terms √a-x, √x, √a + x are in A.P. and all are integers where a, x>0, then find the least…

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Q: Let B = {(1, 3), (-2,-2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let - [28] 24 be the…

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Q: Determine the solution of the following differential equations. e) y" + 4y' + 3y = cos(ex)

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Q: Problem IV Let V be a subspace of Rª spanned by three vectors given below. Find the distance from…

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Q: (a) How many nonnegative integer solutions are there to the equation ₁ + x₂ + x3 + x₁ = a? (b) How…

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Q: 08(3-j2) 7245

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Q: 6. Solve by the problem by the Laplace transform method. + 4x(t) = 4 cos2t; x(0) = 2, x'(0) = 5…

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Q: 66 If a,, b, EN for i = 1,2, 3, then c e determinant; 1+x) a₁b₁ 1+ x) 0₂b₁ (1+x) a₁b₂ (1+x) 0₂b₂…

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Q: 125 people were surveyed on the types of volunteering in which they participate. They were asked…

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Q: Let C be the curve defined by the following system of equations: √x+6y²-2²=0 3y = z

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Q: 4. Let R be an integral domain having field of fractions F (a) Define i: R→ F by i(a) = [(a, 1)].…

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Q: Find the work done by F over the curve in the direction of increasing t. F = i + j + k; C: r(t) =…

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Q: QUESTION 8 Let g(x, y, z)=x. Let S the solid bounded by the surfaces x = 3²+3² and x = 6. SSSx.av. g…

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Q: 4. Let A = [¹]. Show that A can be diagonalised.

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