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The following table shows the pesticide residue levels (ppb) in blood samples from

four populations of human subjects. Use the Kruskal-Wallis test to test at the

0:01 level of signicance the null hypothesis that there is no dierence among the

populations with respect to median level of pesticide residue.

Population

A B C D

10 4 15 7

37 35 5 11

12 32 10 10

31 19 12 8

11 33 6 2

9 18 6 5

44 11 9 4

12 7 11 5

15 32 9 2

42 17 14 6

23 8 15 3

four populations of human subjects. Use the Kruskal-Wallis test to test at the

0:01 level of signicance the null hypothesis that there is no dierence among the

populations with respect to median level of pesticide residue.

Population

A B C D

10 4 15 7

37 35 5 11

12 32 10 10

31 19 12 8

11 33 6 2

9 18 6 5

44 11 9 4

12 7 11 5

15 32 9 2

42 17 14 6

23 8 15 3

Math : Algebra

You are going to have a custom house built on a lot you inherited. You have been told the cost of construction will be approximately $120 per square foot. How would you go about determining how much you should pay? Would an algebraic equation help you in this situation? Why or Why not?

Q. If f, g is Reimann integrable on [a, b] then fg is reimann integrable on [a, b].

Q. show that u(x, y)=xf(2x+y) is a general solution of x∂u/∂x-2x ∂u/∂y=u

Q. show that u(x, t)=e-8tsin2x is a solution to the initial boundary value problem

∂u/∂t=2(∂^2 u)/〖∂x〗^2

(B.c,s) u(0,t)=0, u(π, t)=0 t>0

(I.C) u(x,0)=sin2x

∂u/∂t=2(∂^2 u)/〖∂x〗^2

(B.c,s) u(0,t)=0, u(π, t)=0 t>0

(I.C) u(x,0)=sin2x

Q. form the partial differential equation by eleminating the arbitrary function ᵩ

from the relation

ᵩ(x+y+u, x2+y2+u2)=0

from the relation

ᵩ(x+y+u, x2+y2+u2)=0

Q. form the partial differential equation by eleminating the arbitrary function from the relation

u=f(x-3y)+g(2x+y)

u=f(x-3y)+g(2x+y)

Q. form the partial differential equation by eleminating the arbitrary function from the relation

u=xnf(y/x)

u=xnf(y/x)

Q. form the partial differential equation by eleminating the arbitrary function from the relation

u=y2+2f(1/x+ln y)

u=y2+2f(1/x+ln y)

Q. Obtain the partial differential equation by eleminating the arbitrary constant from the relation

x^2/a^2 +y^2/b^2 +u^2/c^2 =1

x^2/a^2 +y^2/b^2 +u^2/c^2 =1