Determine whether the linear transformation T is one-to-one and whether it maps as specified. Let T be the linear transformation whose standard matrix is:.
A =
{1,-2,3
-1,3,-4
-6,9,6}
Determine whether the linear transformation T is one-to-one and whether it maps 3 onto 3.

For what value of x does 4x = (1/8) x + 5?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

What is the order of magnitude for the number of liters in a large bottle of soda served at a party