3. (15 points) Find a tangent line to a curve eY In y – y² + e³«-1 = e² – 1 at (1, 1).

Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

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

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

A:

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

A:

Q: Find the points on the curve y= (x-1)(x -4) where the tangent line is parallel to y= -4x, O (3, 10)…

A:

Q: #17 Find the equation of the tangent lines LiĦ to y=fCX)= r at x=0 and x=-1 7-3X 2

A:

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

A:

Q: 3. Find the equation of the tangent line to the curve x2 – 2x In y + 3y2 = 3e2 - 1 in the point (1,…

A:

Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

A:

Q: 2. Find the equation of tangent line and normal line to 3x y3 + 2y =1 at (0.2) (15 points)

A:

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

A:

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

Q: 5. Find the equation of the tangent line for: x = vt + 9, y= at (4,-)

A: The objective is to find the equation of the tangent line.

Q: The tangent of the curve x^2+y^2--7 * 2xy3DO at the point (1,1), is a. y-2-х. О b. y=x-2. O С.…

A:

Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

A:

Q: 3) Find the equation of the tangent line to the curve 6y³ – xy² + cos (xy) = 7 - at the point (…

A:

Q: Find the equation of tangent and normal lines to the curve xs sin(2y) = y cos(2x) at the ㅠ ㅠ point…

A: Solution of this question is

Q: 34 10- Find equation of tangent line at the point (0, T) for Cos (7x- y) %3D 4y

A: Solved below

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

A:

Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

A:

Q: 1. Find the slope of the curve x+ y² -6x-4y-21 0 at (0, 7). Compute also the tangent line and normal…

A: ## According to bartleby guidelines we supposed to do first question of multiple questions so kindly…

Q: 13. Find the equation of the tangent line to the curve x'y' + 4.xy = 12y at the point (2,1).

A:

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

A: Solving

Q: 24)) Since the tangent of the curve y = x ^ 5 + ax - 3 at the point x = 1 is y = x -b, then b =?

A: Given that y=x-b is the tangent of the curve y=x5+ax-3 at the point x=1.

Q: Determine the slope of the tangent line to the curve y= In x^2 at x = e^2

A: The given curve is

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT TH INDICATED POINT. 4.…

A: we only solve one problem at a time, please upload it one by one

Q: The tangent line to the curve ³ + y³ = 9xy at the point (4,2) intersects the y-axis at y = -1. -2.…

A:

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

A:

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

A:

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

A:

Q: The slope of the tangent line to the curve In(zy) = y² – 1 at the point (1, 1) is m =

A:

Q: 9. Approximate (4.1)² using a linear (tangent) approximation off of the point (4, 16) on the curve y…

A:

Q: 1. Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

A: Question no. 1Given,            A n equation of the tangent line to the curve y=x at the point…

Q: 1- Find the equation of the tangent to the curve y = 2 sinx+ cos2x at the point x =a. 2- Find the…

A:

Q: curve at the following point:  y = 2/ 1 + e-x, (0,1)

A:

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 equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

Q: 1. Find the equation of the tangent line to x² – 3xy + y² = -1 at (2,1).

A: given that x2-3xy+y2=-1slope of tangent (m)= dydxdifferntiate the given curve with respect to…

Q: 3 Find the equation of the tangent line to the curve x*y – xy = –2 at the point (-1, –1

A: Given: x4y-xy3=-2 and the points are (-1,-1)

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

A:

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

A: Given that      x = 6 + ln(t) , y = t2+7 ,(6,8) Here we have to find an equation of the tangent line…

Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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: 7-The tangent of the curve x^2+y^2- 2XY3D0 at the point (1,1), is *

A: Given,           The curve is x2+y2-2xy=0 at the point 1,1.

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: 6. Find the equation of the tangent line to the curve 2x3 + xy + y° = 4 at the point (1, 1).

A: Firstly we can find slope .i.e, dydx at (1,1). Then slope intercept form  y-y1=m(x-x1)