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

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Q: 50 Fuaiia Which of the following is the shortest distance from the point (15,0) to the curve y = 6x…

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Q: work. a) ( i) Find the exact length of the curve 1 <2

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Q: Find the length of the curve The spiral r= 3e 2, 0 s es 2 v3

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Q: Determine the length of the tangent to the circle x? + y? - 4x - 5 = 0 from (8, -2). * 2.89 5.57…

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Q: The curve has an equation of x^2 + y^2 = 25. Find the length of arc from x = 3 to x = 4. * O 3.44…

A: For a curve y=f(x)  Arc length = ∫1+y'2 dx   Given curve is x2+y2=25⇒y2 =25-x2⇒y   =25-x2…

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Q: Find the exact length of the curve. x = et – t, y = 4et/2, 0st < 5

A: Find the length of curve:

Q: A Moving to another question will save this response. Question 6 Find the length of the curve. x =t…

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Q: Find the exact length of the curve. y? = 64(x + 5)3, 0sxs1, y > 0

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Q: Glven a circle with dlameter BC, Is It possible to construct tangents to B and C from an external…

A: Given, Given BC is diameter of circle

Q: the sloper of the curve 2y = ax? +b at (1,–1) is – 1.Find a, b

A: We have given the sloper of a curve at (1, -1) is -1 .  We have to find the value of a and b.

Q: Find the exact length of the curve. x = 1/3 (y^1/2) (y − 3),   16 ≤ y ≤ 25

A: Given: x = 1/3 (y^1/2) (y − 3),   16 ≤ y ≤ 25

Q: Use the arc length formula to find the length of the curve y = 2 – 3x, -2 < x < 1. You can check…

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 7. Y=x³ – 3x? 8. Y= (2x–…

A: 7.)  y = x3 - 3x2 Properties of the curve:   The function takes zero at x= 0 , 3     It has local…

Q: Q2: AIFind T, N and Kof the curve r(1)=(rr3)i+(?2)j

A: We have to solve the given problem.

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Q: Use the arc length formula to find the length of the curve y = 5 - 4x, -2 s x S 4. Check your answer…

A: We have to use arc length formula and distance formula to find length of curve.

Q: Use the arc length formula to find the length of the curve y = V 64 - x-,0sxs 8. Check your answer…

A: The solution is given as

Q: Jse the arc length formula to find the length of the curve y = 4x - 5, -1 SxS 3. Check your answer…

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Q: Find the exact length of the curve. y* 4y² 1 1<y< 2 8

A: Use the formula and than integrate for the length of the curve.

Q: Find the entire length of one arc of the cycloid x= 20-2sine, y 2-2cose. (A cycloid is the curve…

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Q: A wire has the shape of the curve ?=7?3/2y=7x3/2.  Find the length of the wire between ?=0x=0 and…

A: We have to calculate length of the wire between two functions.

Q: Find the exact length of the curve given by: x=e-tcos(t), y=e-tsin(t), with 0 less then or equal too…

A: Use formula of length of the curve

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Q: x = 4 + 12t? %3D Find the exact length of the curve for 0 <t < 4 y = 3 + 8t3 %3D

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Q: The length of the arc of the curve x = y? + 5 on [0, 6] is: Remark: Give your answer to the nearest…

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Q: Find the arc length of the curve below on the given interval. 1 for 1sys2 8y2 +. 4 The length of the…

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Q: Find the length of the curve. 2ti + etj + e k, 0<tS 4

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Q: 7. Find the arc length of the curve given by r(t) = (1+2t)i + (1+3t)j + (6-6t) k, for -1≤t ≤0.

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Q: 1. y = 1 - x; A(1,0), B(8,-3)

A: According to the company rule, we can answer only the first question and rest can be reposted

Q: Find the length of the following curve. y = 12 on [3,4] 4x The arc length is (Simplify your answer.)

A: The length of the curve,y=x312+44x on [3,4]

Q: Use the arc length formula to find the length of the curve y = 36 - x2, 0 s x S 6. Check your answer…

A: y=36-x2   , 0≤x≤6let f(x)=36-x2  Then  Arc length =∫061+(f'(x))2dx…

Q: Find the arc length of the curve below on the given interval. 4 y for 2sys5 4 8y The length of the…

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Q: Use the arc length formula to find the length of the curve y = V2 - x2, 0 sx< 1. Check your answer…

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Q: Find the entire length of one arc of the cycloid x = 20- 2sine, y 2-2cose. (A cycloid is the curve…

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Q: Graph and find the arclength of the curve r = 2θ over −2 ≤ θ ≤ 2. The question is also attached down…

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Q: Consider the curve y = 5x3. The sketch of the portion of this curve between x = – 1 and x = 8 is…

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Q: Find the arclength of the curve r(t) = (4t², 2v4 t, In t) , for 1<t< 5. L =

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Q: Find the length of the curve r(t) = for 6 <t<15. Give your answer correct to two decimal place…

A: Here we have to find the length of the curve r(t)=-2cost, -2sint, -t for 0≤t≤15…

Q: Find the arc length of the curve below on the given interval. 4 1 for 2sys4 8y X= 4 2 The length of…

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Q: A wire has the shape of the curve y = 3x"2. Find the length of the wire between x = 0 and x = 1. %3D…

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Q: Question 5 Find the length of the curve. +- from y = 1 to y = 2 %3D 4y2 2

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