1 A curve C is defined by the parametric equations x = and y = for 1z 0. VI +1 t + 1 dy (a) Find dx in terms of t. b) Find an equation of the tangent line to C at 1= 3. c) Set up but do not evaluate a definite integral representing the length of the curve C on the interval 0 s isl.

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: I. Let C be the parametric curve with parametric equations x=t(t² + 1)-¹/2 te [-3,3] ly: = 2t - 2…

A: There are two points at where the tangent line is horizontal

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Q: I. Let C be the parametric curve with parametric equations [x = t(t² + 1)-¹/2 te [-3,3] y = 2t - 2…

A: We have to set up the integral that gives the arc length of C.

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Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: Find parametric equations for the line that is tangent to the curve r(t) = e^t i + (sin t)j + ln (1…

A: The given curve is Differentiating with respect to t, we get Now, we find r(0) and r'(0) and

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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A: Answer

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A: The given parametric equation is: x=5 ln t  ,   y=4t   ,      z=t3 Given point is:  (0, 4, 1) From…

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Q: 1. Eliminate the parameter to find a Cartesian equation of the curve given parametrically by (x(t),…

A: Recall: sin2t+cos2t=1

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Q: Find the slope of then tangent line to the parametric curve t t2 + 25, y 6. at t = -1 and t = 1…

A: Shown below

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Q: x = 2 cos(3t) – 4 sin( 3t) IT t = 2 y = 3 tan( 6t)

A: given,        x=2cos3t-4sin3t   and y =3tan6t

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Q: 9.) a. Find the parametric equations for the tangent line to the Curve at' the Specific point. X =t°…

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Q: a) A curve is given by the parametric equations 1 where 1 <t<3. t' I = 2 lnt and y = - i. If L is…

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Q: x = 3 ln(t), y = 4t1/2, z = t3; (0, 4, 1)

A: Given Data: x=3lnt ......1y=4t1/2  ......2z=t3      ......3 x0, y0, z0=0, 4, 1   For the specified…

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Q: 13. Consider the curve C given by the parametric equations x=2–3cos t and y = 3+2 sin t, for –sis 2…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.