Math Answers

Find by double integration the area of the region in 𝑥𝑦 plane bounded by the curves 𝑦 = 𝑥

2 and

𝑦 = 4𝑥 − 𝑥

2

.

.Find the average value of 𝑓(𝑥, 𝑦) = 𝑥

2𝑦 over the region 𝑅 which is a rectangle with vertices

(−1, 0), (−1, 5), (1, 5), (1, 0).

find inverse laplace transorm : se^-2s/(s^2 + pi^2)

∫ ∫ 𝑥𝑦𝑑𝑥𝑑𝑦 2𝑦

𝑦

2

find laplace transform : sin wt (0 < t< pi/w)

Find an approximate value of the double integral below where 𝑅 is the rectangular region having

vertices (−1, 1) and (2, 3). Take a partition of 𝑅 formed by the lines 𝑥 = 0, 𝑥 = 1, and 𝑦 = 2, and take (𝑢𝑖

, 𝑣𝑖) at the

center of the 𝑖th sub region.

∬(3𝑦 − 2𝑥

2)𝑑𝐴

𝑅

find laplace transform : 4u(t-pi) cost

Scores on a scholarship aptitude exam are normally distributed with a mean of 72 and a standard deviation of 8. What is the highest score that will place an applicant at the bottom 25% of the distribution?

fine laplace transform : e^-2t u(t-3)

fine laplace transforms of : (t-1) u(t-1)