For the following parametric equation x(t) = tan t and y(t = sect find the %3D tangent line passing through the point t = . Also find the second order derivative dx d²y at the given point.

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

A: Given,          y=e9xcosπx ; 0,1

Q: Find the equation of the tangent line to the curve y 42 cos z at the point (, The equation of this…

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

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Q: Find the equation of the tangent line to the curve y = 2 tan a at the point (4, 2). The equation of…

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Q: Find the equation of the tangent to the curve given by x=t cos⁡t, y=t sin⁡t, at t=π. (HINT: Find…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)),  (4π, 0)

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Q: A curve is defined by y=(1/3)sin(2x+1). Evaluate the angle between the tangent to the curve at x=2,…

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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: Find the derivative 4cos4t sin4t 2cot4t -1/2 cot4t Other: of the parametrically defined curve : x(t)…

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Q: As a particle moves through the first quadrant, itsxandycoordinates are functions oftimet, and its…

A: The given relation is,  tanθ=yx. Here, x, y, and θ are functions of t. The objective is to find the…

Q: Find the 3rd derivative of the function given by the parametric equations x=1+sint, y=t−cost at t=0.

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Q: Find the equation of the tangent line to the curve given by y. Sin (z) + e² - Tan (y – 1) = 0 a the…

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Q: Find the derivative of the parametrically defined curve (t) = 2 cos(4t), y(t) = sin(4t).

A: We have to find dy/dx.

Q: 2. Find equation of the tangent line at the point P given by t = where x(t) = cos (t) %3D y(t) =…

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

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Q: Find the derivative of the following functions/parametric equations. 6. 4 cos x sin y = 1

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Q: Find the equation of the tangent to the curve at t = 0

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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 line to the curve at the given point. 3. Y sin xt cos P (0, 3)

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

A: Using equation of tangent formula.

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

A: We need to find tangent.

Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the equation of the tangent to the curve y = cos 2x at the point where x = kko

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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: Find a point of the following curve at which the tangent line has equation = x + T. .2 2.xy –…

A: Given equation of tangent  is     y=x+π⇒ slope of tangent  =1

Q: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation…

A: We will find the equation of tangent line.

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

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Q: x = sin 2īt and y = cos 2nt. Find the equation of tangent line to the curve at the point t: 6

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Q: 3. Consider the curve given by r = 2+2 cos (0) where 0<0<2n. Find the slope of the tangent IT line…

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Q: 6. P=(0,9) Sin(x)+ Cos (x)

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Q: Find the equation of the tangent line to the following equation at the specified point y= cos-1(x)…

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Q: Find an equation of the tangent line at the point specified.

A: Consider the given equation as And

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

A: Given equationy=sec(x)-2cos(x), P=π3,1To calculate the tangent line we have to calculate the slope…

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes…

A: We have to find curve

Q: Find an equation for the tangent line to the curve parametrized by x = e³t sin(πt) and y = et at the…

A: x=e3tsin πty=e2t

Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: Find an equation of the tangent line to the curve at the given point. y = 3 sin(x) + cos(x)' P = (0,…

A: slope of tangent line (m)=dy/dx…

Q: Find the slope of the line tangent to the curve r = cos(30) at 0 4

A: To determine the slope of the tangent lines.

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

A: Given that, x=tcost, y=tsint, t=π. Find the value of x and y by substituting the value of t in given…

Q: Find an equation of the tangent line to the curve at the given point. y = 1 + sin(x) / cos(x),  (π,…

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Q: Find an equation of the tangent to the curve at the given point. x = 9 sin(t),    y = t2 + t,…

A: To find the equation of tangent to the given curve.

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: The equation of the tangent line to the graph of y = sin(x) at the point P( ,1).

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Q: Find the derivative of the following functions/parametric equations. 4. e2x cos y + y2 = 1

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Q: Find the equation of the tangent line to the graph of f(x) = 5 sin(x) + 6 cos(x) at x = equation: in…

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Q: The equation of the line tangent to y= sin x +2 cosx at 1 is

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

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

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Q: Find the equation of the tangent line to the function y=sin(x)cos(x) at x=4pi/3

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