The graph of y = 3z° - 5x* + 3 has a unique inflection point. Find the y-coordinate of the inflection point on the curve.

Q: Time and Temperature Data for Water Data Point Time (min) Temp (°C) Data Point Time (min) Temp (°C)…

A: 1) The data in the table below to fill in the graph

Q: Find the equation of the line tangent to the graph of y = 4x (x - 4x + 5) at the point (2,8). y =

A:

Q: Can you make a slope intercept equation form a line parallel to the y-axis? If so, how?

A: The solution is given in the next step.

Q: Sketch the graph of the curve y=x(x² +2x)², labelling the stationary points and intercepts.

A: Recall: 1) Stationary Point : dydx=0 2) Intercepts :The x-intercept is the point at which the graph…

Q: =12 Sho

A: Straight line: The slope intercept form is y=mx+c Where m=slope. c is y-intercept.

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.