39 A parametric curve is given by x =1- y=1+ 0. dy in term of t and evaluate it at 1=-2. dx a. Find b. Find the value of dr d²y -at 1 =1 and evaluate lim * dx

Q: Given curve with parametric equations x=3t2 -4 and y = sin(-3/2(pi)t) What is the definite integral…

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Q: (1) Evaluate the line integral 4xy dx + (2x² – 3xy)dy if the curve C consists of the line segment…

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 + 1 2 y = x2 3 y 4…

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Q: 4. Sketch the graph of the curve y = Vx and the tangent line in the Cartesian Plane using a scale of…

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Q: Find fe F dr for F = 7yi - (sin y)j on the curve counterclockwise around the unit circle C starting…

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Q: 23. Evaluate Jcxy dx + (x + y) dy along the curve y = x² from (-1, 1) to (2, 4).

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Q: 1. Find the length of the curve given by e' (sin t+cos t) , yY = e'(cos t – sin t), x = 1<t< 4 .

A: The length of a parametric curve is given by L=∫abx't2+y't2dt Now, we have…

Q: Find the curve y(x) that minimizes the I Cy) = S. cos x)+ ]2 Cunc tonal %3D

A: solution:-Given I=∫1+cosx+y121/2using Euler's equation ∂f∂y-ddx∂f∂y'=0sincef=1+cosx+y121/2is…

Q: 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x = to…

A: If a function f(x) is defined over an interval [a,b], then the formula for arc length is: Formulae…

Q: 2:(b) Find the exact arc length of the curve x=e"(sint+ cost), y=e" (sint – cost) over the interval…

A: Given

Q: Find the exact slope of the tangent line to the 4 cos(t) parametric curve at the point ly = 7 sin(t)…

A: To Determine: Exact slope of the tangent line to the parametric curve :

Q: <ys 2 2

A: We have to solve given problem:

Q: Let C be the graph of the equation In(3y – 2e") = sinh“(Tx) – tan(y – 1). | dy (a) Find dr (b) Find…

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Q: 22. Calculate the arc length of the graph of (a) y = f(x) = 1⁄2x³ + x-¹ over [1,3]. Hint: (b) y = 1…

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Q: Find the length of the following curve: y = ln(cos(x)) from x=0 to x=pi/4

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Q: find the arc length of the curve on the given interval y = (x3/2/3)-x1/2 on [4, 16]

A: Given:- y = (1/3) (x3/2) -x1/2  To find  length of arc length over interval [4, 16]

Q: 1. Find the arc length of the curve y = 4xi + 3 from x = 1 to x 2. Leave your answer as a radical.

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Q: find y'' for the curve cosx-siny=4

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Q: 3 Find the arc length of the curve x -3y from y = 0 to y = 4.

A: The expression for the arc length of the curve is: L=∫ab1+dxdy2dy Given: x=-3y32a=0 &amp; b=4 Now…

Q: 5. Find the length of the curve given by x = cos t +t sin t, y = sin t – t cost, -T <t <

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Q: Find the arc length function for the curve y = sin-lx + V1 - x² with starting point (0, 1).

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Q: Find the length of the curve y = ln(sec x ), x is an element of [0, pi/4]

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Q: 1) Find the arc length of the curve over the interval: | 2 3 (a) [0,3] for f (x) =x X2 (b) for y =…

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Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Find the arc length of the graph of the function y = ln(1 − x2 ) on the interval 0 ≤ x ≤ 1/2

A: Given:            y= ln 1-x2,  0≤x≤12    Formula to be used: Let y=f(x) be differentiable function…

Q: Find the arc length of the graph of the function over the indicated interval.

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Q: 4 Find the arc length of the curve the interval 2≤+ ≤ 5 3 given parametrically by x= 3 + ² y = + ²,²…

A: To find out the arc length of the curve.

Q: 7. Find the slope of the tangent to the parametric curve x = t - lnt, y = t + lnt at the point (e +…

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Q: 2 cos(t) T at the point 4 Find the slope of the tangent line to the parametric curve ly = 1 sin(t)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the point on the cycloid c(t) = (t − sin t, 1 − cos t) where the tangent line has slope 1/2.

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Q: Find the exact length of the curve. y = ln(cos x),   0≤ x ≤ π/3

A: Formula used: L=∫ab1+dydx2dx

Q: Find the equation of a curve having a slop by dy xy? у 3 ху? —, x > 0 dx and passing through the…

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Q: Find the length of the curve y = ln (cos x), 0&lt;= x&lt;= pai/3

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Q: 3. Find the arc length of the curve 24xy y+ 48 from y-2 to y-4 1 to from

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Q: 8. Find the length of the curve defined by x = cos(2t), y = sin(2t) from t = 0 to t = n.

A: If x = f(t), y = g(t) in (a, b) then length of the curve is,

Q: 3. Consider the curve given by r = 2+2 cos (0) where 0<0<2n. Find the slope of the tangent IT line…

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Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Find the exact length of the curve defined by x = 3 cos t – cos 3t and y = 3 sin t – sin 3t on the…

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Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

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Q: 1. Find the arc length of the curve x = x=(y+ 2)2 from y-0 to y-1

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Q: x3 (b) Calculate the arc length of the curve y = 12 from x = 1 and x = 2. %3D

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Q: Find the distance traveled by a particle with position (x, y) as tvaries in the given time interval.…

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Q: Find the arc length of the graph of the function over the given interval.          y = ln x, [1, 5]

A: Given, The function y = ln x in the interval [1, 5].   To find the arclength of the graph of the…

Q: 23. Find (to two decimal places) the coordinates of the point P in Figure 9 where the tangent line…

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Q: Determine the (1) graph, (2) initial and terminal points, (3) orientation, (4) the dy derivative ,…

A: Formula: sin2 t+ cos2 t=1 The given parametric equation is: x(t)=3+ sin(t) and y(t)=-2+ cos(t) where…

Q: 3. Find the arc length of the curve æ = 5 + y3/2 between y = 0 and y = 2.

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Q: 4. Find the arc length of the curve x= - y* + ÷y¯² from y=1 to y=4

A: We have to find the arc length from the given condition

Q: Find the arc length of the graph of y = ln(cos x) from x =  0 to x =  /3.

A: We know that, the general formula for Arc length of a curve is given as Arc lengthL=∫x=ax=bdSWhere,…

Q: what is the length of the curve y=1-cos(x) from x=0 to x=4pi

A: The given curve is  y = 1 - cosx dydx=0 - (-sinx)  =sinx

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.