Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the parameter. x = 5 + In(t), y = t2 + 1, (5, 2) y =

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Obtain the equation of tangent by eliminating the parameter theta as follows.

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Given curves x=2+lnt, y=t2+2 and the point 2,3. The objective is to find an equation of the tangent…

Q: Find an equation of the tangent to the curve given by x = t* +1, y = t° +t at the point…

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Q: FInd an equation of the line that is tangent to the curve y=e^xcos(x) at the point (0,1).

A: The equation of the curve is y = e^x(cos(x)) and the point is (0, 1). Differentiate the function…

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: Find an equation of the tangent to the curve at the given point. x = 2 + t2 − t,    y = t2 + 2,…

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Q: Find an equation of the tangent line to the curve x = t4 + 2, y = t3 + t at each given point (2, 0),…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: 17. If the curve C is given by x= 3t² +1, y=4t, z = e, find the equation of the tangent line at the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Explanation of the answer is as follows

Q: Find an equation of the tangent to the curve given by y = t – In(t²) at the point corresponding to t…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Explanation of the solution is given below..

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: (a) x = 2 – T Cos t, y = 2t – T sin t -

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Q: 2. Find the equation of the tangent and normal to the curve x = V4t + 1 at t = 2

A: Given the curve :

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

A: The given curve is: x=6+ln t  ,     y=t2+5  ,     (6, 6)

Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: Tangent line

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A:

Q: 4. Consider the curve given by r³ + y³ = 9ry. Find the equation of the tangent line at (4,2).

A: To find the slope of the tangent we need dydx at (4,2)…

Q: Determine an equation of the tangent line to y = (e +2)ª at the point (0, 81), then solve it for y.…

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Q: Find an equation of the tangent line to the following curve at the given point. y = e cos TX, (0, 1)

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Q: Find an equation of the tangent to the curve at the given point by two methods: without eliminating…

A: The given curve and the point is x=sin(t), y=cos2(t) ; 32,14

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: To find the slope of the tangent we need to find dy/dx Then find dy/dx at t=pi

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent line to the curve y? = x3 + 3x? at thu point (1, 2). 2у + 3x 3 3 3x…

A: We have to find the equation of tangent line.

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: take derivative take

Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

A: First, to find equation of the tangent to the curve by without eliminating method:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Equation of tangent line at (x0,y0) (y-y0) = m(x-x0)

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: 1.   2. slope of tangent is dy/dx.

Q: Find an equation of the tangent line to the parabola y=x2  at the point P(1,1)

A: To find an equation of the tangent line to the parabola y=x2 at the point P1,1

Q: Find an equation for the tangent line to the curve parametrized by a = t¹ — 1 and y = t5 + t at the…

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Q: Find an equation of the tangent line to the curve at the following point: y = z°e², (1,1/e) y =

A: SOLUTION-

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: Given,  x = t cost  y = t sint    We have to find the equation of the tangent at the point t = π.

Q: find an equation of the tangent to the curve at the point corresponding to the given parameter…

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: Consider the curve given by y2 + (1+x³)³ = xy + 10. Find the equation of the tangent line to the…

A: Considering the curve- y2+1+x33=xy+10 Firstly, find the slope of the curve. dy/dx is the slope of…

Q: 1. Find an equation of the tangent to the curve, x = t + 1, y = t4 + t corresponding to t = - 1.

A: To find the equation of tangent for following curve x = t3 +1    .... 1 y = t4 + t    ..... 2 AT t =…

Q: x = VE, y = t? – 2t; t = 16

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Q: Find the equation of the tangent line to the curve defined by the equations a = t +, y =t – when t =…

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Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the value of the…

A: Using formula of equation of tangent line.

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.