Newton's heating-cooling law states that the rate of change in the temperature, H, is proportional to the difference between the object and the surrounding temperature. Let H(t)be the temperature of the object being cooled and S be the surrounding temperature. An ic cream maker works by cooling the milk, cream, and sugar mixture in 32 degree ice, while stirring until the ice cream is "frozen" at 33 degrees. If the ingredients are placed in the ice cream maker at 70 degrees, it takes 2 hours to make the ice cream. Write and solve the differential equation which describes the temperature of the ice cream over time. O H(t) = 32 + 38e-2.819t O H(t) = 32+38e-1.819t O H(t) = 32 – 38e1.819t O H(t) = 32 +38e1.819t

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.