Questions are related to tangents and normals in Calculus Where we basically just derive the equation, find the slope and put in the tangent or normal line equation. But these questions have some other ideas as well that I'm not able to solve. Feel free to take out as many questions as you want from my account just solve them all. 16. Prove that + = 1 touches the curve ywhere it cuts the y-axis.be-x/a at a point%3D17. Given that f(3) = -1 and f (3) = 5. Find the equation of tangentline to the graph of y f(x) at x = 3.%3D18. At what point of the curve y = 2x - x² is the slope equal to 4?Find the equations of tangent and normal at this point.%3D19. Does the line that is tangent to the curve y = x at the point (1, 1)intersect the curve at any other point? If so, find the point.%3D3 at the20. Does the line that is normal to the curve y = x² + 2xpoint (1, 0) intersect the curve at any other point? If so, find the point.%3D| 10. Find all lines that can be drawn normal to the curve x2 - y2 = 5and are parallel to the line 2x +3y = 10.11. At what points of the curve y 2x3-3x2-2x+4 are the tangentsparallel to the line 10x - y + 7 = 0. Find the equation of normal ateach of these points.12. At what point of the curve y = 2x2 -3x - 2 is the normal parallelto the line x+ 9y- 11 = 0. Find the equation of tangent at this point.13. Find the coordinates of the point on the curve y = x2 +3x+4, thetangent at which passes through origin?%3D14. For what value of b is the line yy = x³.12x + b tangent to the curve15. The equation of the tangent at (2, 3) on the curve y2 = ax3+ b isy = 4x - 5. Find the values of a and b.%3D

Name: Questions are related to tangents and normals in Calculus Where we bas
Uploaded: 2024-03-20T06:46:42.000Z
Channel: Bartleby
Description: Questions are related to tangents and normals in Calculus Where we basically just derive the equation, find the slope and put in the tangent or normal line equation. But these questions have some other ideas as well that I'm not able to solve. Feel f