Find the equation of the tangent line to the curve y= x +4 e at the point (0,4). O A. y=4x+5 O B. y=2x+4 O C. y-5x+4 OD. y-4X +4 O E. y 3x+5

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

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: 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 x + y² = 4 where the slope of the curve is 1.…

A:

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

A:

Q: Find an equation of the tangent line to the curve y=2x2+3 that is parallel to the line 8x-y+3=0. а.…

A: Topic:- application of derivatives

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: Find the equation of the tangent line to the curve y = 1/x at x - -1 O a. y= -3x-4 b. y = 3x - 4 O…

A: The slope at point (x1,y1) of the function f(x) is given by :     The equation of the tangent line…

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 to y = e-5t at t = 0. y =

A: Solution is given below:

Q: Find the equation of the Tangent line and Normal line to the following curves at the indicated…

A: Given :xy3=8  at 1,2x2y3=6x+y+1 at 0,-1

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

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 the equation of the tangent line to the curve ³+y³ = 9 at the given point (1, 2). a. 4x-2y=10 O…

A:

Q: Write an equation for the tangent line to the curve y - x= 2 at the point (1,V3). O A. x-2/3y+5=0 O…

A:

Q: Find the equation of the tangent line to the curve 3 x' + 2 y – 22 = 3 xy – x at the point (2, 2).…

A:

Q: Find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x?y, (-1, 1)…

A: The objective is to find the slope of the tangent line to the graph at the point  (-1,1).

Q: 17. If the curve C is given by x= 3t² +1, y=4t, z = e, find the equation of the tangent line at the…

A:

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: Find an equation of the tangent line to the curve at thegiven point.   y = ex   / x  , (1, e)

A: Given: y=exx,1,e. for finding tangent at given point we need slope of tangent at that point  so,…

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

A: Given: To find an equation of the tangent line to the curvey=x at the given point (1,1)

Q: Find the equation of the tangent line drawn to the curve y4−4x4−6xy=0 at the point M(1,2).

A:

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

Q: Find an equation of the tangent line to the curve at thegiven point  y =  e x  / x…

A: Given curve is y=exx To find: Equation of the tangent line to the curve at point (1,e). Solution:…

Q: Find an equation of the tangent line and normal line to the curve at the given point for the…

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

A: The given curve is: x=6+ln t  ,     y=t2+5  ,     (6, 6)

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: Determine the slope of the tangent line to the curve y = In(x²) at x = e 2 1 e4 Option 2 Option 3 1

A: differentiate it with respect to x at given point to get the slope of line.

Q: Find the equation of the tangent line to the curve at the given point. y = V2x + I, (4,3) y =

A:

Q: Find the tangent line to the curve x = -/t + 1 , y = , y = \3t at the point def ined by t = 3

A: Using formula of equation of tangent line to the curve at given point.

Q: Find the equation of the tangent line at the point (−2,2) to the curve defined implicitly below. 4y2…

A: We have to  find tangent line to curve at given point at (-2,2).Cirve equation is given by:

Q: Find the slope of the tangent line to the graph at the given point. + y3 - 6xy = 0, (4/3, 8/3)…

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: Find the equation of the tangent line to the curve x²y² - xy + x - y = 0 at the point (0, 0). Ox+y=1…

A:

Q: Find an equation of the tangent line to the curve y= e* that is parallel to the line y=1-2x.

A: Two parallel lines have the same slope

Q: Produce the equation of the tangent line to the given curve at the specified point 2x^4+xy^2=11;…

A:

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

A:

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y…

A: The curve y=x2-x2 at (1,1)

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: We have to find slope

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 THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 2.…

A: Given: x2y3-2xy=6x+y+1 To Find: Equation of the tangent line and normal line of the given curve at…

Q: 3. FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF 5x + 2xy + 4y² = = 25 AT THE POINT (1,2).

A: Given: 5x+2xy+4y2=25

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: 2. Find the slope of the tangent line to the curve y? + yx² + x² – 3y? = 0 at the point (0, 3).

A:

Q: At what point of the curve xy = (1 – x - y)2 is the tangent line parallel to the x-axis?

A: Given , xy=(1-x-y)2 . We need to find the point at which the tangent is parallel to x axis.…

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

A:

Q: Find the equation of the tangent plane to the graph of xe*y- eyz = In(x?) at the point (1,1).

A: Solution

Q: Find the slope of the tangent line to the graph at the given point (x2 + y?)2 = 4x²y, (-1, 1)…

A: If , then the independent variable x is called the input of the function and the dependent variable…