6. Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lbs mixture.
How many pounds of the cornmeal should be in the mixture?
____Pounds
How many pounds of soybean meal should be in the mixture?
_____Pounds
16. The perimeter of a rectangle is 15

Consider a regular tetrahedron with vertices:
(0,0,0) , (k,k,0) , (k,0,k) , and (0,k,k)
a) sketch thegraph of the tetrahedron
b) findthelength of each edge
c) findthe angle between any two edges
d) Findthe angle between the line segments from the centroid ( k/2, k/2, k/2) to two vertices.

Show that the Petersen graph is nonplanar by
a) showing that it has k3,3 as a subcontraction, and
b) using the problem 1 show above part a)
You don't have to solve problem 1.
Can you explain about contraction.
problem 1.-Let k>=3 be an integer , and let G be a plane graph of order n(>=k) and size m.
a) If thelength

Consider an open-top box with a square base and a volume of 108 cubic inches. Let x be thelength of a side of the base.
a) Calculate the height h as a function of x. Is this function even, odd, or neither?
b) What is the domain of the function above? (Note that there may be physical and/or mathematical restrictions.)

An open top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and then folding up the flaps. Let x denote thelength of each side of the square to be cut out.
Findthe function V that represents the volume of the box in terms of x. Show and explain the answer, and a

Using thetheorems from Graph and Digraphs 4ed by G. Chartrand and L. Lesniak:
1 - (a) Let G a graph of order n such that deg v greater than or equal to (n-1)/2 for every v element of V(G).
Prove that G is connected.
(b) Examine the sharpness of the bound in (a).
2 - Prove the every graph G has a path of length sigma

Note: x is used as a letter only not as a multiply sign
1. Findthe volume of the solid generated by revolving the region enclosed by y= x^(1/2), y=0, x=4 about the line x=6.
2. Findthe arc length of thegraph of the function y = x^(3/2) - 1 over the interval [0,4]
3. Integrate
∫ [(Pi / 2) / 0] x cos x dx