Using the figure below, complete the chart by indicating whether each value is positive (+), negative (-), or zero (0) at the indicated points. For these problems, if the point appears to be a max or min, assume it is. If it appears to be a point of inflection, assume it is. f(x) b. d a a b d e g i f(x) f'(x) f"(x)

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

A:

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 +…

A:

Q: Give the domain of the function  y = x2/3. as interval notation

A: Given : y = x2/3  To find : Domain of the given function.

Q: Make a cobweb diagram starting at the indicated point to find f(f(x) repeatedly. What point does it…

A: Here we have to make a cobweb diagram starting at the indicated point  and find f(f(x) repeatedly.…

Q: Assume the equations for A , B , C, and D can all be written in the form y = ab'.Which function has…

A: The exponential function: y=abt is increasing, if a>1 and is decreasing, if 0<a<1.

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.