Sketch one cycle of the graph of y=3cos(3x−π/2) At which x-values does the function take its maximum and minimum values on [0,π].

Q: Determine the stationary points of the function y = x2e-x and hence classify them.

A:

Q: Determine y′(7) to the nearest tenth when y(x)=50x4 / 2x (Do not include "y′(7)=" in your answer.)

A: We have to find derivative of y at x=7.y is given below:

Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Assume that ƒ′(3) = -1, g′(2) = 5, g(2) = 3, and y = ƒ(g(x)). What is y′ at x = 2?

A: Given:

Q: Graph the Ine whose x-tercept is -I and whose y-intercnpt is 1.

A: Given,           The line whose x-intercept is -1 and y-intercept is 1.We know that,           The…

Q: Sketch a graph of f(x,y) = x sin(y).

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Find derivatives of the A) (2x-5)3

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: 2. Find the first derivative of each function: a/y = x³e; b/y = log6 (2x² - 3x + 6); c/ y = e2x cos…

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.