x4dx Using trigonometric substitution technique, the simplified integral after substitution 4 @ S16sin*@cos@de [16sin*ecosede

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A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others…

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A: We will use the concepts of Cartesian coordinates.

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A: To find the given integral is equivalent to which integral.

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A: First we integrate the given function and then we put limit and simplify.

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

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A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

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A: See the answer below

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Q: Determine whether the series converges, and if so find its sum. 2k+3 5k+1 k=1

A: answer is in step 2

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A: The given Cartesian equation x 2 + y 2 - 6x = 0 ................................... (1)

Q: Evaluate: ycos2ydy 1 1 A sin2y+ycos2y+sin2y+ C 1 1 B sin2y- ycos2y+ sin2y+ C 1 O'sin2y+ycos2y-sin2y+…

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Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

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Q: Question 10 Soviax. Evaluate: 2ev(/x+1) + C A 2 =2ev(/x- 1) + C © =2ev(/x+1) +c %3D 2ev(/x- 1) + C 2

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Q: 29,4 15.4 82.6 A graph of f is shown above. The numbers shown represent the geometric area of each…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

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A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

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A: The given equation,     12sin2x+4sinx-1=0

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A: topic - polynomial

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Q: Consider A = (0, 4, 2) , B =, (6, –1, 0) and C = (3,0, 1). 1 (a) Find the unit vector having the…

A: The given vectors are: A=0,4,2, B=6,-1,0 & C=3,0,1

Q: 3号x}

A: answer is in next step

Q: Evaluate: 2ev/x+ 1) + C (A) ® =2ev(/x-1)+C B 2evx(/x-1) +C = 2ev(/x+ 1)+C

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A: Given y'=2x+x4-2x5, y1=2 To find General Solution:

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A: Follow the procedure given below.

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Q: a. f (x) sin x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…