There is a pair of functions in stdlib.h (make sure to include
it) that are used for generating pseudo-random numbers. These are
"srand" and "rand". Examples are on pages 686 and 687. E.g.,
function "srand(3)" provides the seed value of 3 to the srand
function. (3 is just a number, and probably isn't even a good
number for this purpose, but that's a discussion for another time).
The reason that we use a seed value is so that we can...
What spin functions are allowed for the inner pair of electrons
(1s2) in the 1s22s configuration of
Li? What spin functions are allowed for the outer
electron (2s) in the same configuration?
A pair of dice are rolled 1,000 times with the following
frequencies of outcomes:
Sum
2
3
4
5
6
7
8
9
10
11
12
Frequency
10
30
50
70
110
150
170
140
120
80
70
Use these frequencies to calculate the approximate empirical
probabilities and odds for the events a. The sum is less than 3 or
greater than 9.
b. The sum is even or exactly divisible by...
For the following 2 functions, find a unit vector at
the specified point for the following function, allowing the
function to increase the fastest in this direction, and find the
fastest rate of change.
1) f(x,y) = e^x(siny) , P(0, 3/π)
2) f(x,y,z) = arctan (x+y+z), P(1,1,1)
List the functions of the following cell types:
Neutrophils
Monocytes
Macrophages (3 major functions)
Eosinophils (2 functions)
Basophils and mast cells
Conventional dendritic cells
Follicular dendritic cells
B lymphocytes
Helper T cells
Treg cells
Cytotoxic T cells
NK cells
Consider the following production functions: (i) ? = ?? + ??;
(ii) ? = 1 2 ? ?? ?; (iii) ? = 2? + 4? ?? ? + 3?? Variables ? and ?
are positive parameters. a) Do the above production functions
exhibit decreasing, constant, or decreasing returns to scale?
Explain how your answer depends on parameters ? and ?. b) Using
calculus, derive the marginal product of capital and labor for each
of these production functions and then use...