W Find the integral. • 5x² - 9x+6 S x³ - 2x² + x O In In In X - dx X x-1 xº x-1 x-1 6 x 2 x-1 1 44+0 x-1 x-1 +C 1 x-1 +C +C +0

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A: Given query is to find the work done .

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A: see below the answer and calculation As per Bertleby Guideline I have to solve first three subparts.…

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Q: The differential equation [In(4y) + 6x³]dx + (x + yº)dy = 0 4y is exact. Select one: O True O False

A: Solution : Given that

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A: Given query is to find the correct option for the integral.

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Q: WORK PROBLEMS (. You need to provide a clear and detailed solution for the following Questions: )…

A: This question is related to vectors, we will solve it using given information.

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Q: Find an equation of the slant asymptote of the curve 4x³10x² 11x + 1 x² – 3x y = =

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Q: The DE 2y x = ( 7x + 2x ) d dy y (-7ln(2y) - 4ex) dx = is an exact differential equation. Select…

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Q: Sketch the curve of the following:  y = x + cosx *please use handwriting not typing, I understand…

A: Given that y=x+cosxTo sketch :curve of the function.Solution :y=x+cosxif x=0y=0+cos0y=1

Q: Which of the following differential equations is exact? Select one: O (3x²y² + 2xy)dx + (2x³y +…

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Q: Let f(x,y) = (- (2x+y))'. Then 02f дхду 83f Әхдудх 83f дх2ду

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Q: lim x to 9 (9x - ln(x))

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Q: dy dt + y cos(2t) = 0 ; y(0) = 1

A: Topic:- application of integration

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Q: The base of a certain solid is the area bounded above by the graph of y = f(x) = 9 and below by the…

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Q: 14. The graph of f(x) consists of line segments, as shown in the figure. Evaluate the definite…

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Q: 1. Consider a polynomial function f(x) = co + c₁x + c₂x² + ... + Cd-1d-1 + card. A. Applying the…

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Q: 21. 2(3*+¹)=3(2-¹)

A: 23x+1=32x-1

Q: ㅍ 2 Evaluate the definite integral 1 0 +1 24 ○ㅠ-1 T3 O² +1 + C 24 0 1 +1 ○ T3 24 - 1 x² + cos(x) dx.

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Q: 3) A 20-fcot ladder leans against a vertical wall. If the base of the ladder is pulled away from the…

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Q: Evaluate: a) O 87 3 b) 4T c) 0 2T d) O 16T 3 e) 8T TIT 0 0 rdz dr de

A: Solution :∫0π∫02∫0r2rdzdrdθ∫0π∫02r∫0r2dzdrdθ∫0π∫02rz0r2drdθ∫0π∫02r3drdθ∫0π∫02r3drdθ∫0πr4402dθ∫0π4dθ

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Q: Evaluate the integral using cylindrical coordinates: fffida 1 dx dy dz where T: 0≤x≤ 2, 0≤ y ≤ √4-²,…

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Q: 7) f(tan(2x) + cot(2x))² dx = a) tan(2x) - cot(2x) + C_ b)tan (2x) - cot(2x) + C c) tan(2x) +…

A: tan2u=sec2u-1 cot2u=csc2u-1 ∫sec2mxdx=tanmxm ∫csc2mxdx=-cotmxm

Q: Find the point on the curve y = √4x + 4 which is closest to the point (7,0).

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Q: x5+2x4+x². x² +2 After the numerator is divided by the denominator, f(x) = a. What is the oblique…

A: The given function is:f(x)=x5+2x4+x2+4x4+2

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A: The cost in dollars of producing x units of a certain commodity is Cx=4000+11x+0.1x2.a To find the…

Q: 1. 32x+32 = 9x+1

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Q: If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f'(4). f(4)…

A: Given query is to find the value of f(4) and f'(4).