Q2: find the unit vectur toword the Curve 9 = x2 at

Q: Q6 Find the length of the arc of the curve in the given range, y3 4(у + 4)' 1 х %3D 16у + 4у? + 3 0…

A: Find the Arc length

Q: The curve ver = V1 + sin20.

A: Solution :-

Q: Find the exact length of the curve x = 5 + 12t? for 0 <t <1 y = 6 + 8t3

A: The objective is to find the exact length of the curve x=5+12t2, y=6+8t3 for 0≤t≤1 Now, dxdt=24t and…

Q: Q. Find the length of the arc of f(x) = ÷(x² + 1), 1< x < 4

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Q: Q 3/ Find the psints the Curve y=2x=3=? 12 x+20 on where the tangent is parallel to the X-aXis

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Q: Find the horizontal and vertical asymptotes of the curve. y = 7ex ex 4 - X = y = (smaller y-value) y…

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Q: Find the radius of the osculating circle to the curve r(t) = (cost,3sint) IT at t = 3

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Q: Find the exact length of the curve. (Show all work separately and submit on HuskyCT immediately…

A: Given

Q: Q4:A/ Find the length of an arc of the curve y = (1/6) x + (1/2) x from x = 1 to x = 2.

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the arclength of the curve x = 3t + 5, y = 4t + 7 with 2 < t < 5.

A:

Q: Find the length of the curve r(t) = for 5 <t< 12. %3D Give your answer correct to two decimal…

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Q: Find the arclength of the curve z = 8t - 9, y= 15t - 1 with 6 <t<9.

A:

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: Q2/Find the length of the curve T = sino + cose between -s0s

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Q: Find the arclength of the curve below over the interval -1<t<1

A: Here we have to find the arc length of the given curve.

Q: a)Find the exact length L of the curve 3y = (4x – 3), 1 0. Answer: b) Evaluate xe*dx Answer: .3 c)…

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Q: Find the length of the curve.y=x3+14x,1≤x≤2. Round the approximation to 4 decimal places.

A: The length of the arc from point a to b is given by:

Q: y 2 Find the length of the curve x y? from y = 1 to y = 9. -

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Q: Q13: find the points on the curve y = cosx where the tangent is horizontal.

A: Determine the derivative for trigonometric function y. The derivative is equal to the slope for…

Q: Find the exact length of the curve. 1 1sys 2 4y2' X =

A:

Q: Find the length of the curve r(t) = for 9<t< 16. Give your answer correct to two decimal places.…

A: we have to find the arc length

Q: Find the arc length in the second quadrant of the curve x3 + y2/3 = 25 fromx = - 125 Enter the exact…

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Q: y =1+6.x% Osrsl for Find the exact length of the curve

A: Length of the curve

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

A: use derivative for finding the exact length.

Q: Sketch a curve with the following properties. f' 0, for x>4 Choose the correct graph below O A. О В.…

A: Explanation of the answer is as follows

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: Find the sur face evreu of the object formed og rotating the part in the range < x <II about the…

A: Given the curve y=11x

Q: Q5 Find the length of the arc of the curve in the given range, уз + 3 1 25y + 5y2 + 0 <y< 3 4(y + 5)

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Q: Find the exact length of the curve. y = In(sec(x)), 0<x< 1/4 %3D

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Q: Qz: find the unit vectuv tow ard the Curve y =x? at

A: Given curve is  y=f(x)=x2 at x = 1 , y = 12=1 Therefore we need to find the unit vector of the curve…

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: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

A:

Q: (d) Calculate the length of the arc of the curve y=; (+1)* between the ordinates t = 0.5 andt = 2.5.

A:

Q: Find the rectangular coordinate equation for the curve x= cost and y=1-sin2t for 0 greater or equal…

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Q: Find | xdy + ydx, where C is the arc of the curve y = eª for 0 < x < 3

A: Given Data: The given integrand is: ∫Cxdy+ydx The equation of the curve is: y=ex ......1 The limit…

Q: Q. Find the length of the arc of the curve f(x) =+3,

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Q: Q5 Find the length of the arc of the curve in the given range, х%3D25у + 5y? + y3 1 0<y<3 3* 4(y +…

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Q: Find the length of the curve 7(t) = (9t2, In(t), 6t) for 1 < t < 3

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Q: Find the points on the curve where the tangent is horizontal or vertical. r = t - 3t, y = t?- 3.

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Q: (i) On the same diagram, sketch the eurves y? =-* and y x (ii) Find the exact r-coordinate of the…

A: The solution is given below in the next step:

Q: Find the arclength of the curve z = with 4 <t<7. %3| %3!

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Q: 6. Find the exact length of the curve. x = 3t2, y = 2t3 ;0 <t < 2

A: Here given  Differentiate the above function with respect to t

Q: Evaluate S,lz| dz for the curves C1 and C2, both of which begin at a = 1 and end at b = -1. The…

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Q: Find the arclength of the curve x = 8t – 8, y = 15t +7 with 1 < t< 6.

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Q: Q6 Find the length of the arc of the curve in the given range, y3 x = 16y + 4y² + 0<y< 4 %3D 3 4(y +…

A:

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: Find all points on the curve 4xy? – 12x²y = 9 where it has a horizontal tangent line. Write each…

A: We need to find all the points on the given curve where it has a horizontal tangent line.

Q: Find the arclength of the curve x = - with 3 ≤ t ≤ 4.

A: Given x=13t3, y=12t2 with 3≤t≤4

Q: Estimate the slope b t the pótst a,where *3 9. X= 2 feck)- Estimate the arca above the x-asxis and…

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.