Find the exact length of the curve. y 1x²-1-In(x), = 4 2 1 ≤ x ≤ 8

Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 2, h'(1) = 9, g'(5) = -2, and f'(2) = 5. Find r'(1).

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Q: Q4. Let R be the region shown in the accompanying figure. Evaluate the following integral by…

A: Explanation of the answer is as follows

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Q: 2. Which does not exist for a line in three-space? a) vector b) parametric c) symmetric d) scalar

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A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: Evaluate the integral. °/√36 - x² dx = 36cos + √36-x² + C 6 |x X ° / √36- √36x² dx = 18sin + 36-x² +…

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Q: 2. ) Consider the surface x² + y²-2xy-x+3y-z=-4 at the point Po(2, -3, 18). Determine the following:…

A: To find the tangent and normal.

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Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

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Q: Determine the interval(s) on which the given function is increasing. 6 3 2 1 -5 4 -3 -2 0 4 0…

A: Use graph

Q: find all fixed points and classify them where f(x) = ex+c and c ER

A: We have to find fixed point and classify.

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 21 -1 3 12₁ +1 2 120…

A: Given  A= 012-123204 We need to find the inverse of Matrix A using Gauss-Jordan eliminations.

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Q: A. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e- at y(0)=1 and y (0)=2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the…

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Q: 16 + 3 the following matrices festSIAM #71 47 purन

A: Topic = Matrix

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Q: 8. Which of the following has a definite integration? A) f(x) dx [f(x) dx B) C) fdx D) [xndx 9. To…

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

Q: 7 If sin t = and is in quadrant I, find the exact value of sin (2 t), cos (2 t), and 9 tan (2 t)…

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Q: Ten international students who include four males and six females are friends. Each of the four male…

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Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: Q1 Find the distance between the points A (2, -5, 7) and B (-3, -1, 6).

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Q: If we let u = cos t, then the integral [(sint). In (cost) dt can be expressed as - [In(u) du 0…

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A: Given :A=121-2-1-2-142132-212-3

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Q: 2. (xy² + y - x) dx + (x²y + x-1)dy = 0

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

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A: Given data :- M(-1,1) , A(1,1) ,T(2,-2) , H(-4,-3)  Dilation with scale factor of 2.5 Center of…

Q: a = [0,-1,7] and b = [2,4,-3].

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Q: x+2 lim x-2x²+4x+4

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Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: Given query is to find the second derivative.

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Q: integral (Integration by parte ) [xln x

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Q: Determine whether the differential equation (3x + 8) + (3y − 3)y' = 0 is exact. If it is exact, find…

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: II. Evaluate the following: 1. f(x³ + 3x²)dx 2. f(x+ + 2x² + 1) dx 3. f(x³ + 3)dx 4. J√√x dx 5. Jy4…

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