Find the moment of inertia: x = y +1; y = 1; y = 2; x = 0 about x-axis.

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A: Given problem:-

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Q: please show step by step solution on how to get the circled part with complete explanation. do this…

A: We have to explained the circled part.

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Q: 4 3. 2 1 -4 -3 -2 -1 2 -1- -2- -3+ 3. From the above graph of y = f(x), find the following limits:…

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A: topic- algebra

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A: Answer is given below.

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Q: INTEGRO-DIFFERENTIAL 1. y" + 5y' - 4y = 0

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Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim…

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Q: For the cubic polynomial function f(x) = : ax³ + bx² + cx + d, find a, b, c, and d so that 0 is a…

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A: We will solve the problem

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

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Q: √√7 - t³, cos t³) t³, c 3 R(t) = (sin t³,-

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Q: 2. f(x) = 3x4 +√4x; f" (1.2) 6

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Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

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Q: Given than f(x) dx = -5 and [² 1 (² A [² f (x) dx + ₁²5 (2²) dax = 0 f(x) ® √₁² f(x) dx = 8 B © f…

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