Find the terminal point P(x, y) on the unit circle determined by the given value of t. 57T 3 P(x, y) =

Q: 6. Find the length of the curve r = 1+ cose

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Q: dz The possible value for , where is any circle not passing through z = a, traversed z-a once in the…

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Q: find the terminal point P(x,y) on the unit circle determined by the given value of t t=pi/6…

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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: 13. Find the length (units) of the arc of the curve 8y = x* +; from x = 1 to x = 2. 35 а. 16 33 33…

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Q: Find the length of the curve: "(1) =/21i +e'j+e°k, 0 si sl

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Q: find the terminal point P(x,y) on the unit circle determined by the given value of t.      t=7pi/4…

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Q: II. Find the length of the following curves. (a) x = 2t , y = cos 4t, 0 <t <

A: Given:    x = 2t    y = cos4t    0 ≤ t ≤ π/2

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: Find the length of the given curve: where -4 < t ≤1. r(t) = (-2t, 2 sin t, 2 cos 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: 1) Find |R'(t)|, Make sure to simplify your answer 2) Find the distance traveled by a particle…

A: The given vector is R→t=83t3-t, 2t2, 2-2t2. The objective is to calculate the expression of R→'t and…

Q: 3t? Find the length of the curve x = t, y 2 osts 13. 3 =

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Q: Evalwate f, the inaicated point. (Y.y) and Fy y,y) CY.y) at 3. at (l,3)

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Q: Find the length of the given curve: r(t) = (-3t, -3 sint,-3 cos t) where-3 sts 5.

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Q: 64. Find the length of the curve y = 1 - e",0 SISI.

A: Formula to find the length of the curve helps to find the required length. Formula to find the…

Q: Q8 Find the shor testand. longes+ distance from the point (i,2, to the a+y+z=24

A: Given the equation of sphere  x2+y2+z2=24 We have to find the shortest and longest distance from the…

Q: Find the lengths of the curves x = cos t, y = t + sin t, 0 … t … pi

A: Solution:Given   x= cos t,      y= t+sin t,   0≤t≤πFormula:Lenght=∫dxdx2+dydt2dt1+cos 2x=2 cos2…

Q: (b) Repeat part (a) using left endpoints. L3 = L6 = Sketch the curve and the approximating…

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Q: Find the length of the curve 7 (t) = (cos(3t), sin(3t), 2t) for – 8<t< 7 - Give your answer to two…

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Q: Find the arc length of the curve y = 3sin?t- 1 dt for -7<x<7. V3 28/3

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Q: y = 1/2 (e² + e^¹), − 1 ≤ x ≤1

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Q: Q5. The curve y = ax? + bx + c passes through the point (1, 2) and is tangent to the line y =x at…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

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

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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 arc length of the graph y = V 2 49 - x

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Q: e length of the curve y = V 4 – x2, 0 <x< 2. ing the shape of the curve.

A: Use the arc length formula to find the length of the curve.  y=(4-x2)1/2 , 0&lt;=x&lt;=2

Q: Find a path c(t) that traces the parabolic arc y = x2 from (0, 0) to (3, 9) for 0 ≤ t ≤ 1.

A: Given parabolic arc y=x2 from 0,0 to 3,9 for 0≤t≤1. The path ct that traces the parabolic arc has to…

Q: III. Find the length of the following curves. (a) x = 2t , y = cos 4t, 0 < t <

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Q: Find the slo pe of the Para bola y=X at the Point PC2,4).write an equation for the tangent to the…

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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: 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: For the curve x=3cos(t), y=4sin(t), find the value of d^2y/dx^2 at the point where t=π/5.

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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

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Q: x2 + Find the arc length of y = 16 ,15 x< 2 2x2

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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: Q/B) Find the length of the cardioid curve: r 1+ cose

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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: 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: The point on the curve x? + 2y = 0 that is nearest to the point (0,-;) occurs where y'is A) 0 B)…

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Q: Use the formula below to find the length of the curve defined by the equation x= cos^2 t , y = sin^2…

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

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Q: Consider the following. x = et, y=e-2t (a) Eliminate the parameter to find a Cartesian equation of…

A: Given  x=et  ,  y=e-2t   Then we can find out cartesian curve by eliminating parameter 't' .

Q: (c) Repeat part (a) using midpoints. M3 = M6 = Sketch the curve and the approximating rectangles for…

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Q: Find the length of the curve r(t) = (e* cos t, et sin t , et), – In 4 <t<0.

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Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

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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…