Find the exact length of the curve. 1 + 8. X = 1 s y < 3 4y2'

Q: 2. Eliminate the parameter and find the equation of the curve in x,y Curve: x=1-sin?t, y= cost, 0 <t…

A: topic - equation of curve in x,y

Q: 4. Find the length of the curve x = y/2 for 1<y<4. Since the function is given as x in terms of y,…

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

A: Given are the function and the interval as follows:

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…

Q: Find the length of the curve y2 = ln x, -1 ≤ y ≤ 1.

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Q: Find the exact length of the curve: x = e' -t y = 4e/2 Osts4 O e2 +3 e2 +4 e*+3 4 e*+4 O None of…

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Q: Given xy + cos(xy) – 4x 5, answer the following: Write the equation of the normal line to the curve…

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Q: 1) Find the length of the curve; y = e" from r= 1 toI = 2.

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Given that dy dx when x-2 for the curve y=x3- 2x2 – 4x d2y Find and hence find which of the…

A: We have to find the second derivative of given function at x=2.

Q: Find the exact length of the curve y = ln(sec(x)),   0 ≤ x ≤ ?/6

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Q: 2. Find the lengths of the given curves: a) y = x/2 -x2,1sK< 4 L = V1+f(x)*dx 3

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Q: Find the numerical value of [-' (3xy + iy²) dz over the following curves b) The curve given by (t)…

A: We have to find the numerical value of ∫i2-i(3xy+iy2)dz over the curve parametrized by x(t)=2t-2,…

Q: Sx = 2+ 6t² ly = 3+ 4t³ Find the exact length of the curve for 0 <t < 4

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Q: 6. Find the length of the arc in one branch of the curve y2 = x³ from x = 0 to x = 1. %3D %3D A 1.2…

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Q: Given -옮 (1+ 올2 -3 -시, dy 3 (1+ a dx What is the value of k such that y is parallel to the curve y =…

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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 exact arc length of the curve over the stated interval. y = 4x²/3, from x = : 1 to x =…

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Q: C. Set-up the definite integral to find the length of the arc of the graph of y = Vx-1 from x = 2 to…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (ii) Find the length of the curve y = E* from x = 0 to x = 2. %3D

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Q: The curve y = sin I has a slope of Select one: O a. at = O b. at z = 0 . O c. Never

A: The slope of a curve at a point is the slope of the tangent to the curve at that point. The slope of…

Q: 2) Determine the points at which the following curve has the slope of 2. x = 3sin(t), y=6cos (t)…

A: We will find the points.

Q: Find the exact length of the curve x = t sin t y = t cos t for 0 <t< 1. You may use the following…

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Q: x = e* + e=t Find the exact length of the curve for – 2 <t < 0 y = – 7 – 2t arc-length =

A: We use the formula of arc-length of a parametric curve to answer the given question

Q: 10. Given the curve: y = 4cos°x – 3cosx, find the following values of x (from 0 to 2pi radians) when…

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Q: The curve y : in (3x - K) crosses the at and the equalion of the at this point Find the value of K…

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Q: 10. Circles tangent to the x-axis. Amm. [1+())- [yy +1+(.

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Q: 3t/2 Find the length, s, of the parameterized curve, x =3 e ° - 4t, y = 8 e 3t over the interval…

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Q: T 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

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Q: 10. Circles tangent to the x-axis. Amm. (1+() =[yy +1+(

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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: = }(y? + 2)³/2 for 0 < y < 4.

A: As we know that the expression for the arc length is: l=∫ab1+dxdy2dy...(1) Given: x=13y2+23/2a=0,b=4…

Q: x' The arc length of the curve y%= [1,3] is approximately + on 6. 2х

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Q: x=e^t-t y=4e^t/2 0<=t<=4 find the exact length of the curve

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Q: Find dy/dx and d2y/dx2. x = cos(2t),    y = cos(t),    0 &lt; t &lt; π   For which values of t is…

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Q: Find the length of the curve. Approximate your answer to 3 decimal places. r(t) = i+t²j ++t°k, [0,…

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Q: Consider the sope old shown obove For the solution that sotrios y(1) -0.75, skotch the solon curve…

A: Given the slope field along with a point on the curve 1,0.75. We sketch a curve that is passing…

Q: Q.2. (3 points) Find the exact length of the curve y In(cos x),0 < x <

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Q: 10. Circles tangent to the X-axis. Amm. [1 + (y)*]° =[yy +1+(]".

A: Every function can be described through a differential equation. The differential equation defines…

Q: Find the arc length of the curve below on the given interval. y= (x3/3) + (1/4x) on [1,3] The…

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Q: Find the equation of the tangent to x = = VE , y = t – at the point where t = 4. Note: Sample format…

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Q: 3. Find the length of the curve given by : = (y/4)² – 2 ln(y/4) for 4 > y 2 12.

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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: x2 Find the length of arc of the curve y = 4 Inx from x 1.5 to x = 2.

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Q: Find the length L of the curve R(t) = 4ť²i + t° j+ 4k over the interval [3, 6]. L

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Q: find y in terms of X dy x²(1-x32*, curve Passes through (!.7) Solution is y= Please write neatly the…

A: Firstly, we can separate the equation. (i.e, Move all y terms to one side and all the 'x' term to…

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: 3) Find the arclength of the following curve on the given interval. x = 31, y= 41; 1<t<4 X =

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Q: Find the exact length of the curve (x=t?cost ly=t?sint Osts2n (n? + 4)3/2 - 4] 3 a. 4 + 4)3/2 – 1]…

A: The given implicit function is,  x=t2cost, y=t2sint0≤t≤2π