Below are various vectors in cartesian, cylindrical and spherical coordinates. Express the given vectors in two other coordinate systems outside the coordinate system in which they are expressed
Given point and vector , Describe P and B in spherical and cylindrical coordinates. In the Cartesian, cylindrical, and spherical systems, evaluate A at P.
4.(a) Sketch the region of solutions of the following systems of inequalities:
b. List the coordinates of all of the corner points:
c Which corner point would maximize the equation
For the function that is described by the provided characteristics, write an equation in terms of x and y. A sine curve with a period of , an amplitude of 3, a right phase shift of , and a vertical translation up 2 units.
Let
Suppose that the augmented matrix for a system of linear equations has been reduced by row operations to the given reduced row echelon form. Solve the system. Assume that the variables are named
The two linear equations shown below are said to be dependent and consistent:
Explain in algebraic and graphical terms what happens when two linear equations are dependent and consistent.
The two linear equations shown below are said to be dependent and consistent:
What happens if you use a graphical method?
Is there a relationship between Facebook use and age among college students? The following two-way table displays data for the 219 students who responded to the survey.
What percent of the students who responded were older Facebook users?
The graph below expresses a radical function that can be written in the form
The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or
The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y; or x, y, z; or