x = 6 sin t, y = t +t at t = 0.

Q: . Find an equation of the line tangent to the curve y = 2 + sin(rx) at a = 1.

A: Given curve is y=2+sinπx at x=1 findequation of line tangent to the given curve

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

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Q: Find the equation of the tangent line to y = arcsin(e') at t= 0. II

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Q: Find the equation of the tangent line to y = e¯t at t = 0. y =

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Q: Find the equation of the tangent line to the curve y=2sin(x) at the point (pi/6, 1) in y=mx+b

A: Using equation of tangent formula.

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

A: Any point in the Cartesian coordinate system is represented by the ordered pair x, y. Any point in…

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t 15)…

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Q: Find an equation of the line tangent to the curve tan¹(y) = (x+y)e at the point (0,0). tan ¹(xy) =…

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Q: Find an equation of the tangent to the curve given by tan(0), y = sec(0) at the point (x, y) = (1,…

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Q: Find the equation of the tangent line to y = e-5t at t = 0. y =

A: Solution is given below:

Q: Find an equation of the tangent line to the curve y = 2x sin x at the point (, n) O A. y = -2x O B.…

A: According to our guidelines, we can answer only one question, other questions can be reposted.

Q: Find the equation of the tangent line to the curve given by F(t) = (cos(rt), t, 1+ t²), for t € [0,…

A: (a) First find the derivative of the given curve.  r't=-πsinπt, 1,…

Q: Find the equation of the tangent line of the curve y = sin r + cos a at the point A(, v2).

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Q: Find an equation for the line tangent to the curve x= 2sin(t), y= 4cos(t) at the point defined by…

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Q: Find the equation of tangent to the curve given by x=d' cos' y-a sin'o at point VE(x+ y) = a b)…

A: x=a3cos2∅y=a3sin3∅

Q: Find the equation of the tangent line point correšponding to t=1. X = t sint L COs J

A: The parametric equation of curve is,  we have to find the tangent line at

Q: Find an equation of the tangent plane at the given point. f (x, y) = sech(x − y),  (ln 4, ln 2)

A: The given surface is, fx,y=sechx-y. At the point, ln 4, ln 2. The equation of the tangent plane to…

Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

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: What is the equation of the line tangent to the curve e + cos(x) =1 at the pointG.0) A (B) y=x+ C…

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Q: Find the equation of the line tangent to the curve y = cos(2x) at the point where 3

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

A: Consider the function Find the value of the function when t = π/3. Therefore, we have the tangent…

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

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Q: Find the equation of the tangent line to the curve y= fa)=cos&) at the point a,)

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Q: Find the equation of the line tangent to the cardioid r = 1+ sin(0) at Ô0 =

A: Given that,, Here, differentiate w.r.t. ,we get, We know that, To find: equation of the line…

Q: Find an equation for the tangent curve x= 3e^t, y= 5e^-t at t = 0.

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

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

A: Given that the curve is ey+cosx=1 and the point is π2,0. It is required to find the equation of…

Q: Find the equation of the tangent to y = at X = Tt. cos(x)

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Q: Find the equation of the line tangent to y = x sin(x) at the point where x = π.

A: Given:y = x sin(x) at the point where x = π.At x = π, y = π sin(π) = 0

Q: Find an equation for the tangent line to y=f(x) and the specified point Answer in y=mx+b form

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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 the equation of the tangent line to the curve y = x + tan x, at the point (T, T).

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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 of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: Determine the equation of the line tangent to y = x + tan x at the point (T, T).

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Q: Find the equations of the tangent lines x = 2 sin 2t, y = 3 sin t at the point where the curve…

A: Consider the given equation as x=2sin2t, y=3sint

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* – sin x and passes…

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Q: Find the equation of the tangent line to the curve y = 8 sin z at the point (, 4). 6

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Q: Find the equation of the tangent line to the curve x=4+2t, y=1−t2 at the point t=1.

A: We need to find the equation of tangent line to the curve at point t=1

Q: Find the slope of the tangent line to the path of a carnival ride x 7 cos() + sin(7t), y = 7 sin() +…

A: Given  x=7cos(t)+sin(7t) y=7sin(t)+cos(7t) We need to find the slope of tangent at t=0

Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

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 sin(r+y) = 2y – 21 at the given point (-7, –x).

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Q: Find an equation of the tangent line to the y = sec(x) – 6 cos(x), P = 3 y =

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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: 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…