1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

Q: y" – 1/x = 0; y = x In x – 5x + 7 -

A: This question can be solved using the concept of first and second order derivatives.

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A: The given definite integral,         ∫028 e2xdx

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A: Follow the procedure given below.

Q: S2x². uv- Svau Using Integration By Parts, dx = uv- uv- Jva Find du

A: Our Aim is to solve the integral given below using integration by parts∫2x2e13x -(i)

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A: Given problem:-

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Q: | æ(5")dæ

A: topic - integration by parts

Q: Evaluate the indefinite integral. sin (r)cos(r)da + C

A: Explained below

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Q: ntegrate 36(6 5) dr 3. Answer

A: Topic:- integration

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Q: 2x4 +3x2 - 1 Rewrite -dx as integral of sum of partial fractions. (x3 – 4x2 + 5x)?

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Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

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Q: What are the polar coordinates of the point A shown below?

A: Given query is to find the coordinates of point A

Q: A    26    foot    ladder    is    sliding    down    a    vertical    wall.        The    base…

A: Consider a function y= f(x)  then the derivative f '( x) is the  rate of change of y with respect to…

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Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

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A: Given query is to find the equation of the line.

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Q: 2x³ – x² + x + 2 y= (: dx%3D C D + x + 1 Consider dx. , find A+B+ C+D. x4 + x3 x3 5 4

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Q: Determine whether the Mean Value Theorem can be applied to f on the dosed interval [a, b). (Select…

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Q: x² sin 2x dx¸ Use integration by parts.

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Q: 31. Jul = 9.0 = 335°

A: Given query is to find the component of the the vector.

Q: per.)

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Q: Find the area bounded by the curve y = 4x - x² and y = 3. Answer:

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Q: Find the cartesion coordinates whose polar COordinate is

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Q: x² + x +2 Evaluate x2 – 1 (x– 1)2 - In- - +C x+1 x+1 In- (x- 1)2 +C X+1 x+ In- (x – 1)2 (x – 1)? +C…

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Q: [2x+11 3 1 dx . evaluate Consider 3 1 dx x+3 dx = x2 + x- 6 x- 2 | x+3 X- 2 x+3 x- 2 In +C x+3 In…

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Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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