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?
How many pounds of soybean meal should be in the mixture?
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]
∫ [(Pi / 2) / 0] x cos x dx