The Fourier series of the function is given by where со Сп and bn || f(x) = {- 9x if π < x < 0 -4x if 0 < x < π f(x) ~ CO n=0 (Cn cos ((2n+1) x) - Σ bn sin (nx) n=1

Q: 2) f(x) = 2x-1 x²-x-6 a) Find all intercepts. (3) b) Find all asymptotes. (3) c) Put all this…

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A: ANS : ( a )​​  ANS : ( b )​​ ANS : ( c )​​

Q: X 0 1 23 4 f(x) 3 2 1-2 3 f'(x) -2 -1 2 4 1 0 540 6 4 W3 0 X 0 1 2 g(x) 13 5 g'(x) 2 3 -2 320 756 4…

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A: The function given is f(x)=3x-10 and the interval is from x=2 to x=8.

Q: Question 2 1 pts Let A be the value of the triple integral SSS. (x³ y² z) dV where D is the region D…

A: Now we can calculate sin(3A)By substituting the values :- sin(3A) = sin(3 * 25/8) ≈ -0.162…

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Q: 6.2.10. Let us think of the mass-spring system with a rocket from Example 6.2.2. We noticed that the…

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A: To evaluate the limit, we convert the expression into polar coordinates, where xxx and y are…

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A: Step 1:It is needed to prove the following identity:2sec2x−2sec2x.sin2x−sin2x−cos2x=1 Now, the…

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Q: 1 1-y² y dx dy -1 1-y²

A: Let's evaluate the double integral:∫(from -1 to 1) ∫(from -sqrt(1-y²) to sqrt(1-y²)) y dx dy Step 1:…

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A: Here's what you can do: Check the File: Look at the file you uploaded to see if it shows any…

Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

A: Step 1:    Step 2: Step 3: Step 4:

Q: (b) Find the value of each of these sums. Στο 3 • 21 =0 (i) (ii) Σ=1 Σ=023 2

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Q: 6.2.102. Solve x" — x = (t² − 1)u(t − 1) for initial conditions x(0) = 1, x'(0) = 2 using the…

A: Step 3: Inverse Laplace TransformThe solution involves the inverse Laplace transform of each…

Q: 3. Submit answer Practice similar Calculate the integral approximation Se for So dz. L-de 4 1.…

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A: A) Graph of f(x): To determine which graph best matches the function f(x) = x3 - 12x without…

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A: x=4i+2j​−ky​=−3i+5j​+4kz=−i−j​+2k  ∣∣∣​2x+2y​−z∣∣∣​=∣∣∣​3i+15j​+4k∣∣∣​=32+152+42​=250​≈15.811

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: Step 2: Step 3: Step 4:

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Q: 4. (i) Let f R2 → R be defined by f(x1, x2) = 2x 8x1x2+4x+1. Find all local minima of ƒ on R². [20…

A: Step 1: Step 2: Step 3: Step 4:

Q: 17) Evaluate. Sin (x²) dx dy by reversing the order of integration.

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Q: 5. mit answer urces Use Simpson's Rule and all the data in the following table to estimate the value…

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Q: Please help on all asked questions. Pls show all work and steps. Please circle the final answer.

A: Step 1:

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A: Approach to solving the question: Detailed explanation:Examples: Key references: