Find the equation of the function f whose graph passes through the given point. (Remember to use absolute values where appropriate.) x³ 3x² + 2 X-2 f(x) = f'(x) = (3, -8)

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A: We can construct a 2 by 2 matrix whose nullspace equals its column space. This is possible.

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Q: 1) Determine if series converges absolutely and/or conditionally. IM8 n= n=1 Vn – 1

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Q: the approximations In Mn and S, for 12. Then compute the corresponding errors ET EM, and Es. (Round…

A: ∫0211x4dx=11x5502=11×325=70.4

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Q: QUESTION 20 Is computing the interest as fast as possible (e.g., by the second) a realistic way of…

A: No. False

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Q: The function f(t) is defined by f(t) = { 3² 1 with f(t + 4) = f(t). Evaluate f(-1.2), f(0), f(6.4),…

A: Given that, A function is defined by ft=3t-30<t≤313<t≤4 with ft+4=ft

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Q: Use Green's Theorem to evaluate the line integral along the given curve. [xy xy ²dx + 5x²ydy C is…

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Q: Let f : Z → Z be the function defined by putting f (x) = 2x − 5 for each x ∈ Z. (a) Is f one-to-one?…

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Q: Problem 4. For each degree sequence below, decide whether it must always, must never, or could…

A: Answer  a)Ans:- No of vertices : 5 Degree sum =12 No of edge =12/2=6 Now to form a tree we need…

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Q: Let f: R² → R be defined by f((x, y)) = -9x - 7y - 9. Is f a linear transformation? a. f((x₁, y₁) +…

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Q: 1, A satellite orbits the Earth with an elliptical orbit modeled by 47,472,100 44,222,500 where the…

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Q: This graph shows the number of calories burned while riding a stationary bike. 100 80 60 L 40 20 4…

A: the meaning of the point (8,32) is: in 8  minutes, the number of calories burnt is 32.

Q: 6 Let ---B = -8 by T(x) A - a 1 b₁ 8-0- a2 X b₂ az b3 = v x x. = a₂b3-a3b₂ a3b — abვ La₁b₂-a₂b₁_ 3…

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Q: basis: The set B = {4x² – 3, 16x² − (12 + x), 28 + 2x − 36x²} is a basis for P₂. Find the…

A: Answer  Given p(x)=108+9x-140x2 and B={4x2-3,16x2-12-x,28+2x-36x2}

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Q: Find the basis for the eigenvalues and eigenvectors for the matrix A: A =[0 0 −2 1 2 1 1 0 3 ]

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Q: f(t) = 0 3+6t² 0 = in terms of unit step functions and hence determine F he Laplace transform of…

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Q: + 1) IM8 n=1 Determine which of the following series converge: 2 + cos n 3n

A: Test for the converges by ratio test and comparison test

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Q: 9. If D= [-1, 1] x [-1, 2], show that € W₁T² dx dy x² + y² + 1 10. Using the mean-value inequality,…

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Q: Evaluate SS₂ 2xy do over the surface S, the first octant of the plane x + 2y + 2z = 4. S

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Q: By finding an antiderivative, evaluate the integral, where the contour is any path between the…

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Q: Let S = that L 2 0 -4 {周日目} -2 2 6 -4 Let S' be = be a basis for R³. Let R³ → R4 be a linear…

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Q: 12. Draw a frequency curve for the following data. Monthly Wages (in Rs.) 0-1000 1000-2000 2000-3000…

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Q: Answer: Setup the Riemann sum f(x) dx = lim f(x)As for the given integral. n-00 √ ² (3 x (3x − x²)…

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Q: 3. n-x nª 3n+2√n √n-4-√n+5 lim n→∞0 √n+2-√√n-1'

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT h¯¹ (z) = 1/2 ln (1+2) 1-z Show that tanh

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Q: Determine [] B, the coordinates of a with respect to B given: 5 -35 B = ={[][])} =[]}] x

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Q: Determine the values of a where the function f (a) is not continuous. Label each discontinuity as…

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