Question

The tempetature in degrees Celsius of a thin rectangular metal plate located on the region [0,1]×(1,4) is given by

T(x,y) = (x²+√y) sin (x²y² ). Finding the average temperature on the plate exactly is very difficult, but we can find an upper bound for it.
(a).Find the area of the plate.

Answer 1

The area of the rectangular metal plate can be found by multiplying the length and width of the given region.

Step-by-step explanation:

To find the area of the rectangular metal plate, we need to find the length and width. The given region is [0,1] x (1,4), so the length is 1 - 0 = 1 and the width is 4 - 1 = 3. Therefore, the area of the plate is 1 x 3 = 3 units squared.