Find the exact length of the curve. - x = 5 cos(t) = cos(5t), y = 5 sin(t) - sin(5t), 0 ≤ Z ≤ π

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A: (a)We are…

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A: Step 1: Step 2: Step 3: Step 4:

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A: 1.Step 1:Giveny′=1+xy​+6e−xy​Lety=vxTheny′=v+xv′The differential equation can be written…

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Q: X 1 + 2 x 2 + 6×3=2 2x +5X2 +15x3 = 3 6x + 15×2 + 46x3 = 12

A: 1:

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Q: The given function f(x) = = x+4 x²+4x if x-4 if x || -4 4 is continuous at x = -4. Write the…

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A: Step 1: Step 2: Step 3: Step 4:

Q: 1.4 points Evaluate the definite integral shown. You must show enough work to convince me that you…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Solve the given differential equations by using the principle of superposition (D2 − 1)y = sinh x

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: Find the flux F(x, y, z) = xi + 2yj +4zk, S is the cube with vertices (1, 1, 1), (-1, -1, -1)

A: This question can be solved using Gauss divergence Theorem, which states…

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A: Ans (a):Ans (b) part (1) and part(2):Ans (b) part(c):

Q: Find 8 lim x +4 (x, y) = (0, 0) (x² + y²) by converting to polar coordinates. L

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Q: 4. Su Write out the first four terms of the Maclaurin series of f(x) if f(0) = -9, f'(0) = 4, f"(0)…

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A: We will use the transformation below to transform the equation x2 + y2 = 2 into polar coordinates:x…

Q: 52 Question 5 If csc(x) = 3, for 90° < x < 180°, then sin(x/2) = = cos(x/2) = tan(1/2) = Upload…

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A: Step 1:    Step 2: Step 3: Step 4:

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A: question(1):…

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Q: The Fourier series of the function is given by where со Сп and bn || f(x) = {- 9x if π < x < 0 -4x…

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Q: Express the number as a ratio of integers. 4.739 = 4.739739739...

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Show all steps. Correct flow = 4. Correct flux = 1.0717967

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Q: Show all steps. Correct potential function is: f(x,y) = 3xyz +4y +z^2. Correct evaluation gives -39

A: Step 1: Step 2: Step 3: Step 4: