Write the equations of the lines tangent to the curve y x- 4x at both a 0 and a 2. Then, determine the point of intersection for these two tangent lines.

Q: Determine the slope of the curve y = x² + 2x at the point (-1, -3) on the curve.

A: We have to determine the slope of the given curve at the point .

Q: A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of…

A:

Q: 3 4 y=2xt (1, 2) 3 x L is perpendicular to y = 2x

A: Equation of line L ......x+2y-5=0 For detail...go through the solution

Q: Find the distance from the point (2, 6) to the line 2x - 5y = 0. Distance =

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.