9-x2 dx. Use trigonometric substitution. x2

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A: Given,           ∫csc614wcot414wdw

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A: I am attaching image so that you understand each and every step.

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A: The domain of a vector valued function is the intersection of the domains of its components.

Q: ーx? + 4x +5 dx. Consider Using trigonometric substitution, what is the integral form in terms of

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Q: 10) For y= Vx+8, use the differentialE dy to approximate Ay when x changes from x=1 to x=0.97

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Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: A. Arcsec x - 25- xdx xdx B. 글x Arcsec x-를- В. C. * Arcsec x + 25- Vx -1 xdx xdx D. 글x + 글- Arcsec x

A: Given

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Q: I. Evaluate /4x2 + 4x + 5 dx

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Q: Evaluate. Submit your solution in google classroom sec* 2t dt tanº 2t O -1/(12tan^6 2t) - 1/(16…

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Q: Ca

A: ∫92-x22dx=∫81-x22dx=∫ 6561-162x2+x4dx=∫ 6561dx-∫ 162x2dx+∫ x4dx=6561x-54x3+x55Add a constant to…

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A: Sec²(t)-tan²(t)=1 Sin²(t)+cos²(t)=1 Sin(2t)= 2sin(t)cos(t) 2sin²(t)= 1-cos(2t)

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Q: 4 Using Trigonometric Substitution x2 +4x - 5 dx = | f(e)de find the new limits of integration. X+2…

A: By using Trignometric Substitution fin the limits∫14x2+4x-5x+2dx=∫abf(θ)dθ

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Q: Use implicit differentiation to find dydx 4x^2y+9xy^2=6

A: Given that,       4x2y+9xy2=6

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Q: to the South Coast Air Quality Management District, the level of nitrogen dioxide, a brown gas that…

A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

Q: 5. Find two positive numbers whose sum is 10 and the sum of their squares is as small as possible.

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Q: 4) Equation: 4x +9y² = 1 1 Given that dy/ dt =8, find dx / dt when (x,y)= 3 9

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Q: The loop of the following limacon is produced for which interval of the angle theta?

A: Given:       r=2+4sinθ The first step is to find the angular displacement of the inner loop. To do…