2- Find the equation of the tangents to curve given parametrically by Y= sin(x²) + 1 at (x,y)= ( VTt/2 ,2) .(

Q: 30. Determine the equation of the tangent to y= 2+ cos 2x at x

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Q: Find an equation of the tangent to the curve x = 5 + In t, y = t2 + 2 at the point (5, 3) by two…

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Q: (4) Find the equation of the tangent line of y = /1+4 sin x at the point %3D (0,1).

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Q: Find the slope of the tangent line to the parametric curve [x = 4 cos(t) y = 3 sin(t) at the point

A: A detailed solution is given below.

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Find the equation of the tangent line at the given value of x on the curve. 3y +xy-y%3D375X"; x-1…

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Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (G, 0)?

A: Given curveey+cosx=1Differentiate given curve with respect to…

Q: Find an equation of the tangent line to the astroid at the (3√3, 1).   x2/3 + y2/3 = 4

A: Given an astroid equation find the equation of tangent at a point.

Q: Find the equation of the tangent line to the parametric curve at (1, 3). z =1+ Int y = t +2

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Q: Find the question of the that is tangent to the curve y=-3 cos2x at x= n/6. Express with exact…

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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: Corresponding to θ=0, the x and y coordinates will be,

Q: The equation of the upper semicircle centered at the origin with radius R in parametric form is…

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Q: Find the tangent line at (1, 0) of the curve xe^y = 2 sin(xy) + cos y.

A: Slope of the tangent is given by the derivative of the function at that point. So first we will find…

Q: An equation of the tangent line to the curve y = sin(x) at x = Зп /4 is %3D y = - (х — Зп /4) .

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the equation of tangent line of curve That is given by parametric equations x=3cost+sint y=e2t

A: The equations are x=3cost+sint,y=e2t The derivatives w. r. t t are given by:…

Q: (1) Consider the ellipse a2-xy +y? = 1. Using implicit differentiation find . Find all values of x…

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Q: Determine the equation of the line tangent to x² + sin y = xy² +1 at the point (1,0).

A: The equation x2+siny=xy2+1, we have to determine the line of the tangent at the point (1,0).

Q: Find the slope of the tangent line to the 1 cos(t) at the point parametric curve ly = 3 sin(t)…

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Q: Show that the curve  x = 3 cos(t), y = 5 sin(t) cos(t)  has two tangents at (0, 0) and find their…

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Q: Find the equation of the tangent line to y = 14e cos(x) at x 0. %3D

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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: Find the equation of the tangent line to the parametric curve at the indicated point. Show all work.…

A: Equation of tangent line : y - y0 = m ( x - x0 ) m is the slope of tangent line .

Q: d the equatiom of the tangent line to the curve xy – 7 = Vx + y² at the point (5,2).

A: For finding tangent line to the curve , find the derivative of the function and put the value of…

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving

Q: f(x,y) = 4x² + y² + 2 at the point wherex = 1 and y = 1.

A: The equation of the tangent at point (1,1) is: z=f(1,1)+fx(1,1)(x-1)+fy(1,1)(y-1)

Q: B) Find the skpe of the Ine tangen to the curve y = sin-x at the poit

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Q: Find the equation of the tangent line to the curve at the point (-÷5) (글 given a cos(2 y) = 0. V3 a)…

A: We need to find the equation of the line.

Q: . Find an equation for the tangent to the curve x sin 2y = y cos 2x at the point (T/4, 7/2). %3D

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Q: (11) Find the tangent line(s) to the parametric curve given by * = t5 - 4t3 y = t2 at (0, 4)

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Q: Find the equation of the tangent line to the curve with parametric equations x=cost, y=sint at…

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Q: Find the equation of the tangent to the curve y = sin(3x) COS(z) at z = 4.

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Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

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Q: Find an equation of the tangent to the curve x=cos(t) + cos(2t) , y=sin(t) + sin(2t) at the point…

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Q: Find equations for the a) tangent line and b) normal plane to the curve 1 x=t- cost, y = 3+ sin 2t,…

A: x=t-cost, y=3+sin2t, z=1+cos3t We know that rt=xt, yt, zt dxdt=1+sint, dydt=2cos2t, dzdt=-3sin3t At…

Q: (B): Find the tangent equation to the curve y = sin² x at point x = KIM

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Q: Find the slope of the tangent line to polar curve V3 T r = 4 – 6 sin 0 at the point 4 – 6 Preview

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Q: Find parametric equations for the tangent line to the curve given by x=ln(t+1), y=tcos2t, z=et at…

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Q: Find the slope of the tangent line to the curve 2 sin(z) +4cos(y) –- 3 sin(z) cos(y) + z = 7x at the…

A: The objective is to find the slope of tangent line to the curve at the point (7π, 3π/2).

Q: Find the derivative of the parametric curve x=2+cost, y=1+sint at the point t=π3.

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Q: 2- Find the equation of the tangents to curve given parametrically by Y= sin(x²)+1 at…

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Q: 4. Find the equation of the tangent line to y sin(2r) = r cos(2y) at the point (, ).

A: topic - equation of tangent line to curve

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: Determine the equation of the tangent to the curve y = sinx +cos(2x) at the point 6. 1) Py-1= -(--3)…

A: First I have written the formula of tangent line to the curve at a point , just use that formula for…

Q: x = 1+ vt, y = et X =1+1 Y. %3D

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Q: Find the equation for the tangent plane to the graph of h (x, y) = y sin (x y) + yª + 3 x² at the…

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Q: Find an equation of the tangent line to the curve at the given point. y = cos (x² – 2x + 1), (1, 1).

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Q: What is the equation of the line tangent to the curve ev + cos(x) = 1 at the point (0) ? y = x +;…

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Q: Find the exact length of the curve. y = In(sec(x)), 0≤x≤ w|ले

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