A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 1520 mi, in 4 h. Flying against the jet stream, the plane could fly only 1120 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.

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.

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

Consider the sequence below. 3 , 1 , 1/3 , 1/9 , select the explicit function which defines the sequence.