Find the exact length of the curve.10. 36y 2 = (x2 – 4)3, 2 ≤ x ≤ 3, y ≥ 0

Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

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Q: 4/2 % for 0 sxsl. Find the length of the curve y+1=- 3

A: The equation is y+1=423x3/2.   Differentiate with respect to x.…

Q: 7) Find the exact length of the curve. x= e' +e', y =5-2t; 0<t<3

A: Solution:Givenx=et+e-t     y=5-2t     0≤t≤3To find the length of the curveFormula:Length of the…

Q: Find the length of the curve below from the the point P = (1, 2) to the point Q = (8, 5). 2² = (y –…

A: The length of arc for curve y=fx from x=a to x=b is given as follows. L=∫ab1+dydx2dx The given curve…

Q: Find the exact length of the curve. y4 1 X = 8 1sy< 3 4y2"

A: Here the formula of length of the curve is:

Q: The length of the curve y= is equal to x =3: from to 을(x2 + 2) O a. 12 Ob. 1 O c.9 Od. 3

A: We can use the application of integration in order to solve the given problem.

Q: 4/2 -1 for [0, 2]. Q.7 Find the length of the curve y = 3

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4. Find the length of the curve 7(t) = (t2,,t³,t) for 0st<4

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Q: 2 y = In (x-√x²-1), for 1 ≤ x ≤ √/485 (Hint: The length of the curve is (Simplify your answer)

A: Topic:- application of derivatives and integration

Q: 1 The length of the curve y = x³ + x¹ from x = 3 to x = 4 is: a. b. C. d. 145 16 257 12 99 8 593 48

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Q: 3. Find the length of the curve r = e® for 0ses 2n.

A: Given polar curv er=eθ   ; 0≤θ≤2π

Q: 2. Find the exact length of the curve. y = 3 ,1 < x< 2 15+51

A: Find the exact length

Q: Find the length of the curve given by x(t) = 1 + 3t² ,y(t) = 4 + 2t³, 0 <t < 1.

A: xt=1+3t2yt=4+2t3 Differentiate the above equation w.r.t."t"…

Q: compute the length of the curve over the given interval.  r(t) = (2t2 + 1, 2t2 − 1, t3), 0 ≤ t ≤ 2

A: Length of a curve is also like computing distance between two points but with the restriction that…

Q: compute the length of the curve over the given interval. r(t) = 2ti − 3tk, 11 ≤ t ≤ 15

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Q: 3 y + 3 Find the length of the curve x = 18 2у on 3sys5.

A: Length of the curveL=∫ds where ds=1+dxdy2dy y is between 3  and 5…

Q: 9. Find the length of the curve defined by r(t) = (t, -1sts1.

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Q: -5 y = (3 — х)4 Is the following curve concave up or concave down at x= 2?

A: Consider the provided question, Let fx=-53-x4                     ...1 We need to find curve concave…

Q: Find the exact length of the curve. 1 + 1sys 2 8 4y2

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Q: Use Simpson’s Rule with n  =6  to estimate the length of the curve x  =t - et -6&lt;t&lt;6

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Q: Find the length of the curve. r(t)=(8t,t^2,(1/12)t^3),0 (less than or equal to) t (less than or…

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Q: Given x = y² +y +₁ from 0≤ y ≤2 1. Which of the following expression giver the Are length of the…

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Q: Find the length of the curve. x=(y - 1) 3/2 from y = 1 to y = 4 O 7 O 10 21 2 O 1

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Q: Find the exact length of the curve. y (y-3), 4sys 16 X =

A: use derivative for finding the exact length.

Q: 7. Find the length of the curve y = x/4 on the interval [0,8] %3D

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Q: Q5 Find the length of the arc of the curve in the given range, y3 3 ' 4(y + 5) 1 x = 25y + 5y2 +…

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Q: The length of the curve y = (2+ 2x )3/2 between x=0 and x=2 is O 41/3 O 45/2 O 43/2 O 47/3 49/6 ООО…

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Q: Find the exact length of the curve x=y4/4 + 1/8y2 where 1 is less than or equal too y is less than…

A: Given that           x = y4/4  + 1/8y2 , 1&lt;= y &lt;= 2 Here we have to find the exact length of…

Q: 13. Find the length of the curve y4 + 8 from y = 1 to y = 4. X = 4y2

A: To find the length of given curve.

Q: Find the length of the curve given by r(t) = for -5 <t<5. O 5/19 O 10/10 O 10/19 O 5/10 O 10

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Q: Find the length of the curve x = (y3/33) + (11/4y) on 3≤y≤5.

A: Consider the given curve f(y) and find the derivative w.r.t y.

Q: 1 Find the length of the curve y (x2 + 2)3/2 from x = 0 to x =9. 3

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Q: 4 - Which of the following is the shortest distance from the point (5, 0) to the curve y = V2x ? 7…

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Q: h by Delermine the longth of the Curve y=flete?) between X-0 ond X= 2

A: Consider the given curve:

Q: 3 5/3 3 1/3 + 6 for 1sxs 27. Find the length of the curve y = 7x 4 5

A: Given equation of curve y=35x5/3-34x1/3+6            ;      1≤x≤6formula for arc length of the curve…

Q: 2. Find for x? +x+ y? +2 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: 5. Find the length of the curve y = 2(2+ x)², 1<x<8 %3D

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Q: Find the length of the curve. y 3x 3/2 from x = 0 to x = О 335 162 О 335 O 1 O335 243 559 3.

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Q: Find the length of the curve given by r(t)=〈t sqrt(2),e^t,e^(-t)〉with 0< t <4

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Q: Q. 2) Write short answers for the following: (Any FIVE Questions) 1. What is the maximum or minimum…

A: The unction is given by y=x2-4 Differentiate the function w.r.t. "x" yx=ddxx2-4y'x=2x......(1)

Q: IFind the exact length of the curve x= 3t -t, y=3t² ,0<t<2 ||

A: We have to find the exact length of the curve. The length of the curve is given by

Q: Find the length of the curve for the interval 1 ≤ x ≤ 9 3 = √ √ √ ² ³ - 1 d dt 1 Select the correct…

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Q: (c) Find the length of the curve described by r = e30 for 0 < 0< 4.

A: Given, r=e3θ for 0≤θ≤4

Q: Q. 2 For an F-curve with df = (6,10), find: a) F o.01 b) Fe.os c) F se Fatables,

A: Solution: Given information: The degrees of freedom for the F curve is df(6,10) Here we need to find…

Q: 10. For x(t)= t² +t,y(t)= e³' find the values oft where the curve is concave down.

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Q: 6- Which of the following is the shortest distance from the point (15, 0) to the curve y = V6x ? a)3…

A: Solution: The objective is to find the shortest distance from the point (15,0) to the curve y=6x

Q: Q5 Find the length of the arc of the curve in the given range, y3 + 3 1 x = 25y + 5y2 + 0sys 3 4(y +…

A: "Since you have asked multiple questions, we will solve first question for you. If you want any…

Q: 4t, 5 for –2 <t < 4. Find the length of the curve 7(t) =

A: We will use the following formula.

Q: EX Find the point the curve y=x3+x²-l where the tamjent on is parallel to the X-oaxis

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