. Suppose that f(x, y) and the region D is given by {(x, y) 1<x<3,3 <y<...
2 Suppose that f(x, y) = - and the region D is given by {(x, y) |1<<3,3 <y < 6}. y D Q Then the double integral of f(x, y) over D is S1,612,)dady
Suppose that f(x, y) = 1 on the domain D = {(x, y) – 5 < x < 3, -5 <y <3}. D a Then the double integral of f(x, y) over D is 1 dædy
Calculate the integral over the given region by changing to polar coordinates: f(x, y) = 16xyl, 2² + y² < 49 Answer:
Suppose that f(x, y) = y V x3 + 1 on the domain D = {(x, y) | 0 < y < x < 1}. D Then the double integral of f(x, y) over D is S] f(x, y)dady - Preview Get help: Video License Points possible: 1 This is attempt 1 of 3.
Suppose that f(2,y) = e* / on the domain D= {(2, y) 0 <y< 2,0 <I<y} HHHHHHH Then the double integral of f(2, y) over Dis f(x,y)d.cdy = Preview
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)
Suppose that f (x II 2y), 0 < x < 1,0 < y < 1. Find EX + Y).
2.10.4 Given a function f(x,y) on a compact region E in R^2, Find the maximum and minimum values of f on E, and the points at which these extreme values are attained. f(x, y) = x2 sin y + x, and E is the filled rectangle where -1 < x < 1 and | 0 < a < .
Given the joint pdf of the continuous RVs X and Y: fxy(x, y) = c for the region {0 sxs y,0 s y < 1} and zero elsewhere.Where “c” is a constant. Determine if the RV X and Y are independent. (30 Marks)
Suppose that the Type I region defined by R = {(2,3)|a 5 x 5 b,g(x) < y = f(x)} has (Try) as its centroid. Let k > O be an arbitrary positive real number. Use the formulas for finding the centroid to show that if f(x) and g(x) are multiplied by k, then the resulting region, R' = {(2,y)|a < 5 b, kg(x) < y 5 kf (x)}, will have a centroid that is given by (T, ky).