6. Find the equation of the tangent line to the parabola y 2.x2 – x + 3 at x = 2. %3D -

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

A:

Q: 18. Find the denvative or the runction y = 2x - 13x + 5 and use it to find an equation of the line…

A:

Q: Find an equation of the tangent line to the parabola y = x2 -1 at the point (2,3) y 4x-5 Oy - 4x - 9…

A:

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

A:

Q: Which of the following points do not lie on any tangent line of the parabola y=x2+2

A: given parabola is                                                           y=x2+2 any point on the…

Q: Find the slope of the tangent to the curve y x3 at (6, 3) xy + 6 dx (Enter undef if the slope is not…

A: Given that: y2=x3xy+6 at (6, 3)

Q: y = 5x³

A:

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: Find the parabola y= ax2+bx+c that passes through (2,1) and be tangent to the line y=2x + 4 at (1,6)

A:

Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

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: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…

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: The equation for the tangent line to the curve y=x3 which passes through the point (0,2) is y=mx+b…

A:

Q: find the tangent line to the parabola (x + 2y)^2 + 2x – y – 3 = 0, parallel to the line x – 4y = 2.

A: Given the parabola x+2y2+2x-y-3=0..............i  Determine the slope of given line x-4y=2…

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: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

A:

Q: 1 Find an equation of the tangent to the curve f(x) = /x + 8 that has slope 4 %3D - OA. 1 y =7x-3 O…

A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: If y=mx+b is the equation of the tangent line to the graph of y = x - x- 3 and is parallel to the…

A:

Q: Find an equation of the tangent line to the parabola y = x2at the point (2, 4).

A: To find the equation of the tangent line to the parabola y = x2at the point (2, 4). For the parabola…

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: 12. Find the x-coordinate of the point on the graph of y= Vx where the tangent line is parallel to…

A: From the given data: x=1 x=4

Q: At what point of the parabola y = x² – 3x – 5 is the tangent line parallel to 3x - y = 3? O (-3,-5)…

A:

Q: Find the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

A:

Q: 2 is: The slope of the tangent line to the curve y = - at the point 3, x The equation of this…

A: We have to find out the slope

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

A:

Q: 12. Find an equation of the tangent line to the parabola y = x2 – 1 at the point (2 ,3 ).

A:

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

A:

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

A: We can answer first question as per the honor policy. Please resubmit other questions to know the…

Q: (2) At what point(s) will the tangent line to y = x? - 4x +3 be horizontal

A:

Q: Find an equation of the tangent line to the curve

A:

Q: .2 If y=mx+b is the equation of a tangent line to the curve x +2xy - y+x= 39 at x=5 with a negative…

A: Equation of the curve is given by We need to find out slope at x=5

Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

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: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

A:

Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

A:

Q: Find an equation of the tangent line to the parabola y=x2  at the point P(1,1)

A: To find an equation of the tangent line to the parabola y=x2 at the point P1,1

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

A:

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 slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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: find the equation of the line tangent to the curve y2+ exy=4 at point (0,2)

A:

Q: 10. At what point on the parabola y = 3x² + 2x is the tangent line parallel to the line 10x – 2? y

A: Given,          The parabola y=3x2+2x is the tangent line parallel to the line y=10x-2.

Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

A:

Q: 4) Find the equation of tangent I point line to the circle below at point (1,-3). * x² + y² – 2x –…

A: Consider the given equation of the circle, x2+y2-2x-4y-20=0 The equation of the tangent line passing…