The shortest path from point a to point b goes through a pond. to avoid
the pond, you must walk straight 23 meters along one edge of the pond,
then take a 90-degree turn, and again walk straight 57 meters along
another edge of the pond to reach point b. if you could walk through the
pond, what would be the distance from point a to point b?

Sam makes his sales calls according to a pattern. he travels either north or south depending on the calendar. some of his past trips were as follows: on february 17, april 24, june 10, september 19, and november 3 he drove north. on february 28, may 25, august 22, november 20, and december 18, he drove south. describe sams' pattern. in which direction will sam drive on oct4 and oct 24?

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.

Solve the given system of equations. 2y= -x+9 , 3x-6= -15