1. Use implicit differentiation to find an equation of the tangent line to the plot of a curve defined by the relationship T 6 dy d at the point (x, y) = (3, 7). You must justify all of your work in finding

Q: 7. Find the equation of the tangent line to the graph of the function 4xy + 5 In y = 28 at the point…

A:

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

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

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find an equation of the tangent line to the curve at the given point y = x + tan x, (T, 7)

A:

Q: 12) Find an equation of the tangent line to the curve at t = 2: x = 3t – 5 y = t3 – 6

A: Given data is : x=3t-5y=t3-6 At t=2, x=3×2-5=1y=23-6=2 Therefore point is 1,2

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

A:

Q: Find the equation of the tangent line for x=t^3+1, y=t^2-t at t=1

A: x=t3+1  y=t2-t To be found - Tangent line equation at t=1

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

A:

Q: 3. Find an equation of the tangent line to the curve at the point corresponding to the given value…

A: it is given that; x=et   ; y=ln(t+1) at t=2 at t=2 ⇒x=e2 and y=ln(2+1)=ln3

Q: (b) Find the equation of the line normal to the tangent at the point (1,4) on the curve x'y+ xy =…

A:

Q: 26. Find the equation of the tangent line to the curve h(x) = √3x − 1 at x = 3 3 A. y − 2 = ³/(x +…

A: 26.   The curve h(x)=3x-1 at x=53 Note:      Multiple questions are given, we are answer only one…

Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

A:

Q: A) Find the equation of the tangent line to the curve x²y + xy2 = 6 at x = 1

A: Given: The equation of curve , x2y +xy2 =6,  x = 6 To find: The equation of tangent line to the…

Q: 1. (a) Use implicit differentiation to find the slope of the tangent to the curve y? – xy +y + 2 = 0…

A: Given: The equation of the curve y2-xy+y+2=0

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: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

A:

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

A:

Q: Find the equation of the tangent line to the following curves at a given point y = x² – 6x + 9 at x…

A: 1)y=x2-6x+9 at x=2 2)y=sqrt(x+3) at x=1.

Q: 22. Find an equation of the tangent line to the curve at a given point y = e* cos(x), (0, 1)

A: Given:      Curve y=ex cosx     point =0,1   Finding slope m of the tangent evaluating the…

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

A:

Q: 4. Find the equation of the tangent line to the curve x = cost + tsint, y = sint – tcost at t = T/4

A:

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

A:

Q: (a) Find the equation of the tangent line to the curve x = e', y=e %3D at t = 1 without eliminating…

A:

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

A:

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: II. Find the equation of the tangent line to the curve z2+V#j+y² = 19 at the point (1, 4).

A:

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

A:

Q: 1. Find the equation of the tangent line to the following curves at a given point. . y = Vx +3 at x…

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

Q: Consider the curve given by y2 + (1+x³)3 = xy + 8. Find the equation of the tangent line to the…

A: To find the equation of line tangent to the given curve at point (1,1)

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: 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: Use implicit differentiation to find the tangent line to the given curve at the given point (a)…

A:

Q: Find the equation of the tangent line on the curve defined by 2xy - y2 = 1 at x = 1. a. y = 1 b. y…

A: To determine : The equation of the tangent line on the curve defined by 2 x y - y 2 = 1   at   x =…

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: 8. Find the equation of the tangent line to the curve x = In t , y = 1 + t² when t = 1. %3D

A:

Q: Find the slope of the tangent line to the given curve at the point corresponding to the specified…

A:

Q: 2. The coordinates of the point where the curve y = Inx has a tangent with slope of e are: d. (e,-1)…

A: Slope is already given. And for slope we have to find dy/dx  and then simplify.

Q: 1. Find the equation of the tangent line to the curve defined by the equation In(xy) + 2x – y + 1 =…

A: Given: lnxy+2x-y+1=0 for finding equation of tangent at point12,2, we need to find slopem of tangent…

Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

A:

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: Find the slope of the tangent line to the curve y = g²+4r+7 at the point (0, 3). 7a+2 Determine da…

A:

Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

A:

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

A:

Q: 3. Find the equation of the tangent line to the curve at (1,2) * y = 5 - x O A. x-6y + 22 = 0 O B.…

A:

Q: 1. Use implicit differentiation to find all points on the graph of y3 – 3y = 2² + 3r +2 at which the…

A: When tangent is vertical then slope of tangent not defined

Q: Find the equation of the tangent line to the curve xy +xy 12 al the point (6, 1).

A: