. Consider the following problem for Laplaceís equation in a rectangle. @ 2u @x2 (x; y) + @ 2u @y2 (x; y) = 0 for all (x; y) in the rectangle [0; 8] [0; 4] which is all (x; y) where 0 x 8 and 0 y 4 and u(x; y) = F(x; y) for all (x; y) on the boundary of [0; 8] [0; 4] where F(x; y) = x 3 + y 2 + xy + 2 Find the function v of the form v(x; y) = ax + by + cxy + d such that v(x; y) = F(x; y

The sixth grade art students are making a mosaic using tiles in the shape of right triangles.each tile has leg measures of 3 centimeters and 5 centimeters.i f there are 200 tiles in the mosaic what is the area of the mosaic.

One integer is 8 times another. if the product is 72, then find the integers

The number of chocolate chips in a bag of chocolate chip cookies is approximately normally distributed with a mean of 12611261 chips and a standard deviation of 118118 chips. (a) determine the 2626th percentile for the number of chocolate chips in a bag. (b) determine the number of chocolate chips in a bag that make up the middle 9696% of bags. (c) what is the interquartile range of the number of chocolate chips in a bag of chocolate chip cookies?