Find the first and the second derivatives of the function. y%3D 6-x

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Q: 3. Prove: a) Bo(U,4,)=U,(BO4) b) BU(N,4)=N,(BU4)

A: a) B∩∪iAi=∪iB∩Aib) B∪∩iAi=∩iB∪Ai

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Q: dx Using Trigonometric Substitution J- , find f(0) = (x² + x + 1)7 O 3 sec? e 4 3 sec e 4 4 3 sec e…

A: The given integral,     ∫dxx2+x+132

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Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

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A: Solve the given

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A: Given: ∫x Arcsec3xdx=uv-∫vdu   ......(1)   As we know that; The chain rule; fgx'=f'gx·g'x The Power…

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Q: 4 x² + 4x - 5 Consider using Trigonometric Substitution find x . x +2 sec e O 3 sec e O -2+ sec e O…

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Q: ;dx

A: Given query is to find the value of the integral.

Q: 1. Evaluate the following limits. 2 - V2r + 10 a. lim 1-3 x2 + x – 6 4x – 7 lim z+-1- \3x2 – 2r – 5…

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Q: Find an antiderivative of the function. (Remember to use absolute values where appropriate.) (a)…

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A: the given function f(x)=x-12 on the interval 2,4

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A: Given problem:-

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Q: 2x3- x² + x + 2 D dx X +1 C Consider find A+B+C+D x4 + x3 y3 4 O 2 O 5

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Q: dx Using Trigonometric Substitution J- 3 sin e+C express the answer in terms of x. (x² + x + 1) 2 4x…

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A: Explained below

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Q: * tan°(x) cos“(x) 1 tan7(x) 1 tan (x) O tan7(x),

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A: The correct option is (3).

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Q: NAME: 1. Decide (with proof) convergence or divergence of the series .(d), find the exact sum. 1)…

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Q: A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per day, where t is…

A: Given problem:- A survey shows that a candidate is gaining votes at a rate of 2000t + 1000 votes per…

Q: Using Integration By Parts, dx =uv- v du v-Svau Find 6 x2 e dx 1 dx x3 dx - °3 x? e* - хе dx

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Q: 14. Find the third order Taylor polynomial T3(x) of the given function at the given point. (a) S(1)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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A: Here we have to integrate the given function.

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