. Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

Q: The slope of the tangent line to the graph of y = In(xy) at the point (e, 1) is :Select one -e-l.a…

A: Given equation is Differentiating both sides with respect to x, we get.

Q: Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

A:

Q: Find the eguation of the tangent Line to the CUrre y= Cos( Son)e) at the Point mith coordinates (T)…

A: Given curve is, y=cos(sin(x)) we have to find the equation of the tangent line at the point (π,1) of…

Q: The tangent line to y=f(x) at (2/(2) is line through given point whose slope is equal to (a) f (a)…

A:

Q: Find the equation of the tangent plane to z=e^y+x+x^5+10   at the point (3,0,257)

A:

Q: Find the tangent line to the curve C: r =t, y = t° – 3t at the point (3,0).

A:

Q: 2. Find the slope of the tangent line to rJī+ yJF = 10 at (1,8).

A: We use implicit differentiation with product rule

Q: Find the equation of the tangent plane to z = ey + x + x2 + 11 at the point (5, 0, 42).

A:

Q: ind the equation of the tangent line to the graph of f(x)= 3e* +1 where x, = In 2.

A: Slope of tangent line is (m) given by derivative of curve at given point. Let the curve be f(x) and…

Q: Find an equation of the tangent plane to the graph of f(x, y) = at the point (2, 9). y Z =

A:

Q: Given f(z) = x+ VE Calculate the tangent line at the point (16, 20) y : (2- 16) + 20

A:

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: 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 tangent line to the curve C: r =t, y = t – 3t at the point (3,0)

A: dydx=dydtdxdt=3t2-32tx=3 at t=±3 so there are two slopes tangent…

Q: 1. y+x+y=x at ( 6, 3)

A: Given:  y+x+y=x   at  (6,3). We have to find the equation of tangent line and normal line. The…

Q: Find the equation of the tangent line to y = e¯4t at t = 0.

A:

Q: Find the equation of the tangent plane to z=e^y+x+x^4+6 at the point (4,0,267).

A:

Q: show that the sum of the x-intercept and y intercept of any tangent line to the curve x1/2+…

A: Consider the given equation of curve, x+y=cddxx+y=ddxc12x+12ydydx=012ydydx=-12xdydx=-yx Therefore,…

Q: Find the equation of the tangent plane to z = e + x + x³ + 9 at the point (2, 0, 20). z =

A: According to question We have to calculate the equation of the tangent plane .

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

A:

Q: Given x = y1/y , find its tangent line at (1, 1)

A:

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

A:

Q: The curves y = In x and y = 3x² have parallel tangent lines at x = A) ± √/ B) C) √6 E) 2

A: Two lines have parallel tangent if slop at the point is same.

Q: 50. Find an equation of the tangent line to the graph of y = Vx/(x + 1) at (a) x = 1; (b) x = !.

A:

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

A:

Q: What is the equation of the tangent line to graph of the function y = e^(3x) at the point (0,1)? O y…

A: The given function is y=e3x

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 an equation of the tangent line to the graph of the function at the point (0,1). (a) y = ex…

A:

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

Q: 46. Show that the sum of the x- and y-intercepts of any tangent line to the curve Vx + Jy = \c is…

A:

Q: 11. Find the slope of the tangent line t = 2. Show all your worka x = v2t, y =t %3D t

A:

Q: Find an equation of the tangent plane at the given point. g(x, y) = ely, (4, 1) (Express numbore in

A:

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

A:

Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

A:

Q: Find the equation of the tangent plane to z = e9 +x + x³ + 6 at the point (3, 0, 253).

A:

Q: Show that the sum of the x-intercept and y-intercept of any tangent line to the curve Va+ Vg = Vc is…

A:

Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

A:

Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = = ;x = -3 4 O…

A:

Q: Find the slope of the tangent to Ax) = x²e* at the point (1, e). a) e b) 1 c) 3e d) 2 + e

A:

Q: (c) Find the equation of the tangent plane to the graph of f(x, y) at (1,1,3).

A: Suppose surface S defined by a differentiable function  z=fx,y and point Px0,y0,z0 lie on the…

Q: Find the slope of the tangent line to the cerve, x-xy°+Iny= 24 at the point C3,2)

A:

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

A:

Q: Find an equation of the tangent line to the graph of y = In(x²) at the point (1,0). a. y = 2(x –…

A:

Q: Find the equation of the tangent plane to z = e + x + x² + 4 at the point (3, 0, 17).

A:

Q: Estimate the slope of the tangent line to each curve at the given point (x, y). 5. E L IN NN IIE…

A: Slope of the tangent line

Q: Write the equation of the tangent line in Cartesian coordinates for the given parameter t. x = eVE y…

A: at t=1 x=e1=e1=ey=1-ln(12)=1-ln(1)=1-0=1 tangent point (x1,y1)=(e,1)equation of tangent line…