Find the asymptotes parallel to the axis of the following curve: x'y -x'y-xy' + x+y+1=0.

Q: The line y = 3x + k is tangent to the curve y = x when k is equal to

A: Given,        The line y=3x+k is tangent to the curve y=x3

Q: On the curve y = x², find a point at which the tangent is parallel to the chord joining (0, 0) and…

A: To find the point

Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

A:

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

A:

Q: y = 5x³

A:

Q: Find the tangent line to g (x) 16 4T at z = 4.

A:

Q: FIND THE LENGTH OF THE CURVE y = In sec X from X = 0 to X = - 4

A: Given curve is y= lnsecx .  We have to find the length of the curve from x=0 to x=π4. Length formula…

Q: 2. A particle moves along the parabola y = x in the first quadrant in such a way that its…

A: Given: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x -…

Q: Find the point on the curve y = x-11x+5 at which the tangent has the equati on y = x - 11.

A: We will find the  point on the curve at which the equation of tangent is given as following.

Q: Find an equation of the tangent line to the graph of y = In(x2) at the point (3, In(9)). %3D *+2 ln…

A: y-y1=dydxx-x1

Q: If tanh x = 12/13  find the values of the other hyperbolic functions at x

A:

Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: As a particle moves through the first quadrant, itsxandycoordinates are functions oftimet, and its…

A: The given relation is,  tanθ=yx. Here, x, y, and θ are functions of t. The objective is to find the…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

A:

Q: Determine the equation of the tangent line to the graph of 3sin y – In(e secha) = tan- (x²y) + 3 at…

A: Given  : 3siny - ln(e sechx) = tan-1(x²y) + x/3

Q: Prove that the point of the tangent intercepted between the axes at any point on the curve x…

A:

Q: f the line tangent to the graph of y =x* – 2x + 1 at x =-1

A: Idea: find the slope of tangent line by differentiation at x=-1 .then find the point on the curve.…

Q: Find the slope of the tangent line to the given curve at t3D1. Sx=7-4

A:

Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

A:

Q: Find the lengths of the curves y = sin -1x - √(1 - x2), 0≤ x ≤ 3/4

A:

Q: At the given point, find the line that is tangent to the curve. 5x3y - n cos y = 6t, tangent at (1,…

A: 5x2y-πcosy=6π=ddx(5x2y-πcosy)=ddx(6π)=10xy+5x2y'+πy'siny=0=(5x2+πsiny)y'=-10xy y'=-10xy5x2+πsiny…

Q: 2) Find the point(s) at which the graph of f (x) = has a horizontal tangent. x2+1 %3D

A:

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the point (x,y), at which the graph of y = 8x+6x-3 has a horizontal tanger The function y= 8x…

A: Our Aim is to find the point (x,y) at which the graph of y=8x2+6x-3-(i)has a horizontal tangent.

Q: Find the arc length of the graph of the functionf(x) =x^3/2 fromx= 0 tox= 4.

A: Given,        The arc length of the graph of the function fx=x32 from x=0 to x=4.We know that,…

Q: Find the linear approximation to y=arcsinh(2x) at x=6.

A: Given:y=arcsinh(2x) and x0=6To find:The linear approximation to y=arcsinh(2x) at x0=6

Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

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: Find the equation of the line tangent to the graph of y = arcsin (tanh(x)) at r = = 0.

A: we have to follow next step

Q: Find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is horizontal. If there are…

A: Here, we need to find the x-value(s) at which the tangent line to the curve y=(6x+1)/(ex) is…

Q: Find the tangent line to the graph the eq uati on of of YCK)- %3D at X=0 11-x2

A:

Q: Find the equation of the tangent line at the given point. 4x = -5xy + 4y at (1,–4) y = arccos(5x) at…

A: See the calculation below

Q: दलालभ यला Find an equafion of the tangent line to the ceurve at the grven point. y=x3-3x + 1, (2,3)

A:

Q: Find the equation of the tangent line to the graph of x^2y-xy^4=-1830 at (3,5)

A:

Q: Find a point on the graph where x = t² - 1, y = 2t has a vertical tangent.

A: For vertical tangents dx/dy=0

Q: Find the slope of tangent to the curve y=sin 4x +3x at (5, 35). None O 7 O 3

A: Note :- Steps to find slope :- 1) Find the first derivative of f(x). 2) Plug x value of the…

Q: Find the arc length of the graph of the function f(x)=5√x3 from x=3 to x=7.

A:

Q: Find the slope of the tangent to the curve y-x cos 3x at *- O al o Ob) 1 Od) 3

A:

Q: Find the equation of a curve passing through 1, if the slope of the tangent to the curve at 4 any…

A: The slope of a tangent line to a curve and point on that curve are given. From these information, we…

Q: On the curve y=x2 ,find a point at which the tangent is parallel to the chord joining (0,0) and…

A:

Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n?…

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to…

Q: On the curve y=x2,find a point at which the tangent is parallel to the chord joining (0,0) and (1,1)

A:

Q: 8. Find the tangent to the Witch of Agnesi, f(x) = at the point (2, 1) x²+4

A:

Q: Find the equation of the tangent line to the graph of F(x) = c2x²+2x+1 sech a ev dy at x = 0.

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: A particle moves along the parabola y = x2 in the first quadrant in such a way that its x-coordinate…

A: Let the particle is at the point (x,y) at any time t in first quadrant where y=x2  Its x-coordinate…