Consider y = xe^x on the interval [-5, 0]

Q: Find F if del-F = (2xy, (x^2 + 20y^3))

A: We have to find out

Q: find the inverse f^-1(x) = 1/x-1, and state the domain.

A: Given function is f(x)=1x-1 To find the inverse function of f(x) , we set y=f(x) and solve the…

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

A:

Q: Sketch the graph of the given function in the interval (-5,5) and then determine the x-intercepts,…

A: Periodicity of tan2πx6-3:  6Domain of  tan2πx6-3 :  Solution:  6n≤ x<3+6n  or   3+6n<x<6+6n…

Q: Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

A:

Q: Find the interval(s) over which the function 3x^4+16x^3+24x^2-16 is concave up and concave down.

A:

Q: does y^2+x^2=4 define y as a function of x?

A: A relation from a set X to another set Y is called a function if each element of X is related to…

Q: Let f(x)=3x+2x^3 Find f^-1(22)

A:

Q: state the domain in interval notation for y= 3x^4 - (√2)x^2-22/3

A: Given the polynomial function .

Q: Use f- calculate to (f!) in the damain of f= ==-1, %3D

A: Given: f-1(x)=1x-1 ;          14≤x≤1

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

A:

Q: On what interval is the function x^3-4x^2+5x concave down

A:

Q: Is (x^6)*cosax a even or odd function?

A: Given function is To find: is even or odd function. For even function For odd function

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: