2.) Determine whether the following series is convergent or divergent using The Limit Comparison Test. Ο n=1 2 3n-7

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A: The objective of the question is determine the distance and check the collinearity of points.

Q: Please do STEP BY STEP in detail. Thanku

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Q: 2) A: By using partial method solve [2x² cos x dx

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A: To find the area of the region bounded by given curves.

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A: Given :According to given , only 5 solvedlny+ex2y2-x+y=10

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Q: II. Trigonometric Substitution. Evaluate the following integrals using trigonometric substitution.…

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A: Follow the procedure given below.

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A: Please see the below picture for detailed solution.

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A: See this solution in below.

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Q: 10. Find the 87th derivative of y = cos(2x) at IT

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Q: e Transform of f(t) = sin²t By Rule.

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A: The given function is;  f(x,y)=ln(x+y-1).

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A: Let's solve given integral.

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Linear differential equation of the nth order :…

Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

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Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 0. f(x)=x² - 4x…

A: Given :f(x)=x4-4x-3+3

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A: We have to find vector having same direction

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

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Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

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Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

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A: Using Integrating Factor formula:

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A: See this solution in below.

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A: Using linear approximation at x=a L(x) ≈f(a) + f'(a)(x-a)

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Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)=

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Q: Ex: Find the work done by the vector field F = (y-x²)i + (z - y²)j + (x-z²2)k Over the curve r(t) =…

A: Given: F=y-x2i+z-y2j+x-z2krt=ti+t2j+t3k