What are the coordinates of the points in the graph of y² – x² + 6x – 13 = 0 in which the tangent line is horizontal?

Q: Find an equation of the line tangent to the curve defined by z2 + 6ry +y = 32 at the point (2, 2).

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: (a) Find all the points on the graph of (x² + y? + y)2 x² + y? that have horizontal tangent line.

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

Q: Find an equation of the tangent line to the graph 16x4 + y4 = 32 at the point (1,2). %3D 1) 5 1 -+x-…

A:

Q: y = 5x³

A:

Q: 4. Find the point on the curve y = 2x² – 12x + 5 where the tangent is horizontal.

A:

Q: Find the coordinates of all points on the curve x^2 -2y^2 = 5xy-33 where the curve has a horizontal…

A: x2-2y2=5xy-33 →(1)Horizontal tangent slope is 0Differentiate (1) w.r.t…

Q: Find the length of the curve y x² Inx 8 at (2 <x< 4)? -

A:

Q: At what point is the tangent line to the curve y° = 6x² perpendicular to the line x y - 9 = 0? NOTE:…

A: To find the point on the curve y3=6x2 where the tangent line is perpendicular to the line x-y-9=0 .…

Q: Find the points on the graph of y = 1– 5x + 3x² where that tangent line is parallel to the line y –…

A:

Q: Find the equation of the tangent line to the curve 3y + 2x² = x²y² + 7 at (2, 1) .

A:

Q: Find the equations of all tangent lines to the curve x² + 4y2 = 8 that pass through the %3D point…

A: The curve x2+4y2=8 that pass through the point (-4, 0). We have to find the equation of all tangent…

Q: Find the equation of the tangent line to the curve y = x+5x* which is passing through point (1, 3):*…

A: Given : Curve  y = x + 5x2 Point 1,3   To find : The equation of the tangent line to the given…

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: Find an equation of the tangent plane to the graph of f(x, y) = xy3 + x2at (2, -2, f (2, -2)).

A: fx, y=xy3+x2 Partially differentiating with respect to x, keeping y as constant, we get fxx,…

Q: At what point is the tangent line to the curve y3=2x2 perpendicular to the line x+2y-2=0? P= (?,?)

A: We have to find the point

Q: Find the equation of the tangent to the curve x² +3y² = 6y at the point (1, ½)

A:

Q: Find an equation of the tangent line to the parabola y=x2+x such that it passes through the point…

A:

Q: Find the tangent plane to the equation 4x2 + 3y2 – y at the point (-4,-1,68) Z =

A:

Q: Find the equation of a line tangential to the curve y = 2x² + 7x + 9 at P(1,18).

A:

Q: Find all points on the graph of 3x 2 + 4 y 2 + 3xy = 24 where the tangent line is horizontal

A: Given:              3x2+4y2+3xy=24 We know the tangent line is horizontal when y'=0 So we want to…

Q: Find the equation of the tangent line to the graph of y = -2x° + 6x? – 5x + 10 at the point (1,5) in…

A:

Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: Find the equation of line tangent of y=x4-2x2+1 at (2,9)

A:

Q: Find point on the ellipse x^2+2y^2=1  where the tangent line has a slope of 1.

A: We know, slope of tangent line = dydx

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 points on the curve y = 2r3 – 3x2 – 12x + 20 - where the tangent is parallel to the x-axis.

A: A straight line parallel to x-axis have slope 0.

Q: (b) Find the points on the curve y = 2x3 – 3x2 – 12x + 20 where the tangent is parallel to the…

A:

Q: Find the equation of the tangent line to the curve 2y? + xy = 5 – 2x², at the point (1;1).

A:

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A: To find the points at which tangent line is horizontal , y' =0.

Q: Find the two points on the curve y = x4 − 2x2 − x that have a common tangent line:

A: Obtain the derivative of y as shown below: dydx=ddxx4-2x2-xdydx=4x3-4x-1

Q: Show that the tangents to the curve y2 = 4px from any point on the line x = -p are perpendicular.

A: The given curve is,

Q: Find the equation of the tangent to the 2(x² + y²)² = 25(x² – %3D - y²) at (3,1)

A: Given : 2x2+y22 = 25x2-y2

Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

A:

Q: At what point is the tangent line to the curve y = 2x perpendicular to the line x – - 2y – 8 = 0? -…

A:

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: Find c so that the line y = 4x + 3 is tangent to the curve y= x^2 + c?

A:

Q: Find the equation of the tangent line to 4x2 +y2= 8 at (1,2)

A:

Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: B - Find the point on the curve y = x3 + x2- 1 where the tangent parallel to the x- axis.

A: Topic- slope of tangent and application of derivatives

Q: At what point is the tangent line to the curve y = 6x² perpendicular to the line x + 2y – 8 = 0?…

A: Follow next step

Q: At what point is the tangent line to the curve y³ : = 6x² perpendicular to the line 2x + y = 2 = 0?…

A:

Q: Find the equation of the line that is tangent to the curve y =-3e* at x = In 2. %3D

A:

Q: Find the equation of a line normal to the curve x^2=16y at (4,2).

A: Solve the given problem.

Q: Determine the co-ordinates of all the points at which the tangent to the curve y = 3x'e8x is…

A:

Q: In the xy-plane, the line x + y = k, where k is a constant, is tangent to the graph of y = x^2 + 3x…

A: Given line is x + y = k, where k is a constant it is tangent to the graph of y = x^2 + 3x + 1…

Q: Find the equation of the tangent line to the curve y = + 6x at its point of intersection with the…

A: The tangent of any given function is the line that touches the curve of the function at only one…

Q: Find the equation of one of the tangent lines to the circle x2 + y2 = 52 that pass through the point…

A:

Q: At what point of the parabola y=x -3x+5 is the tangent line parallel to the line 3x-y 2?

A: