A. Find an equation for the tangent line to the curve x = -1 + sec? t, y = tan t %3D d2y at t = -T/4. Also find the value of at this point. dx2

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: Find an equation of the tangent line to the curve at thegiven point.

A: Given curve:

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A: Given curve is Firstly, we will find value of x and y at t=3pi/4

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

A: Given; ey+cosx=1 at point (π/2,0).

Q: For what value of t will the slope of a line tangent to x = 6 sin t, y = t² + t be 0?

A: We have to find t

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Q: The exact value of the slope of the tangent line to the graph of the curve r = 9 + 8 cos(e), at e =…

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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: At what point on the curve y = [ln(x + 4d)]2 is the tangent  horizontal?

A: Given function is, y=ln(x+4)2

Q: Find the equation of the tangent line to the curve y = 5 sec(x) – 10 cos(x) at the point (T/3,5).…

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Q: 1. Find the equation of the tangent line to the curve: x = = VE, y = et %3D at t=1.

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Q: The equation of the tangent line to the graph of y = tan(4x²) at æ = VT is given by y = mæ + b for m…

A: We have to find the equation of the tangent line to the graph of y=tan4x2 at x=π.

Q: b. b. y = 2 1+e-x at (0,1)

A:

Q: Find an equation of the tangent line to the following curve at the given point. (0, 1) e7x COS TX,

A: Given,

Q: x =1+Int, y=r°+ 2; t=1

A:

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

A:

Q: Pls help ASAP

A: The objective is to find the slope of the tangent to the curve at the given point.

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A:

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 the slope of the tangent to the curve y = sin x sinx at x= O a) -1 O b) 1 Oc) 2 d) 0

A: Given : y = xsinx,     at  x=π2

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: The exact value of the slope of the tangent line to the graph of the curve r = 5 + 4 cos(0), at e =…

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Q: ind an equation of the tangent line at x = a. y = x2 + 3; a = -2

A: Given: y = x2 + 3; a = -2

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

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Q: find an equation of the tangent line at the point indicated. s(t) = ln(8 − 4t), t = 1

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Q: in the form y = mx + b. Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 4…

A:

Q: Find the equation of the tangent line to the curve y = 3 sec(x) – 6 cos(x) at the point (T/3, 3).…

A: Given : y =3secx - 6cos(x)

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

A: Given,x=t+ety=1-et

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 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 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 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 tangent to the curve at the point corresponding to the given value of the…

A: take derivative take

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

A: Polar curve

Q: A curve is defined implicitly by the equation x²+xy+y? =1 dy Differentiate implicitly to find dx

A: here we use basic differentiation form.

Q: The equation of the tangent line to the graph of VT is given by y = mx + b for y = tan(4x) at x = т…

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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: Given x=et , y=te-t , find equation of the tangent to the curve at ln 3 and d2y/dx2

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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 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 line to the curve at the given point. (;-) TT y = sec(x) – 6 cos(x),…

A: We find the first derivative.

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

A: Let's find.

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: a) Differentiate implicitly to find for the equation x cos y = x2 y2 +1 dx %3D b) Find the equation…

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Q: Find the point at which the tangent line to the curve r= (1+sin e) is parallel to the х-ахis?

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Q: B) Find the slope of the line tangent to the curve y = sin x at the point where x =

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Q: Graph the curve over the given interval together with its tangent at the given value of x. 37 19) y…

A: csvs

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

A: