Question

(1) (5 pts) Consider the function f : + ×+ → given by f(x, y) =...

(1) (5 pts) Consider the function f : + ×+ → given by f(x, y) = x! y!(x−y)! . Where and x and y are positive integers h Hint: this is the combination formula, x y i (a) What types of relationships are generated by this function, please justify your answers using examples or counter examples. (b) How many combinations of 2 pairs can be generated from a power of R, assuming there are 4 element in set R .

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Consider the function f(x) = x 3 + 7x + 2. (a) (10 pts) Show...
1. Consider the function f(x) = x 3 + 7x + 2. (a) (10 pts) Show that f has an inverse. (Hint: Is f increasing?) (b) (10 pts) Determine the slope of the tangent line to f −1 at (10, 1). (Hint: The derivative of the inverse function can be found using the chain rule.)
] Consider the function f : R 2 → R defined by f(x, y) = x...
] Consider the function f : R 2 → R defined by f(x, y) = x ln(x + 2y). (a) Find the gradient of f(x, y) at the point P(e/3, e/3). (b) Use the gradient to find the directional derivative of f at P(e/3, e/3) in the direction of the vector ~u = h−4, 3i. (c) Find a unit vector (based at P) pointing in the direction in which f increases most rapidly at P.
Consider the function and the value of a. f(x) = -5/x-1, a=7 (a) Use mtan =...
Consider the function and the value of a. f(x) = -5/x-1, a=7 (a) Use mtan = lim h→0 , f(a + h) − f(a) h to find the slope of the tangent line mtan = f '(a). mtan = (b) Find the equation of the tangent line to f at x = a. (Let x be the independent variable and y be the dependent variable.)
Consider the function f:R?R given by f(x,y)=(2-y,2-x). (b) Draw the triangle with vertices A = (1,...
Consider the function f:R?R given by f(x,y)=(2-y,2-x). (b) Draw the triangle with vertices A = (1, 2), B = (3, 1), C = (3, 2), and the triangle with vertices f(A),f(B),f(C). (c) Is f a rotation, a translation, or a glide reflection? Explain your answer.
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y)...
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5y + 5x; R is the rectangle defined by 5 ≤ x ≤ 6 and 2 ≤ y ≤ 4
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y)...
Evaluate the double integral for the function f(x, y) and the given region R. f(x, y) = 5y + 4x; R is the rectangle defined by 5 ≤ x ≤ 6 and 1 ≤ y ≤ 3
Let X be the set {1, 2, 3}. a)For each function f in the set of...
Let X be the set {1, 2, 3}. a)For each function f in the set of functions from X to X, consider the relation that is the symmetric closure of the function f'. Let us call the set of these symmetric closures Y. List at least two elements of Y. b) Suppose R is some partial order on X. What is the smallest possible cardinality R could have? What is the largest?
A function f”R n × R m → R is bilinear if for all x, y...
A function f”R n × R m → R is bilinear if for all x, y ∈ R n and all w, z ∈ R m, and all a ∈ R: • f(x + ay, z) = f(x, z) + af(y, z) • f(x, w + az) = f(x, w) + af(x, z) (a) Prove that if f is bilinear, then (0.1) lim (h,k)→(0,0) |f(h, k)| |(h, k)| = 0. (b) Prove that Df(a, b) · (h, k) = f(a,...
For each vector field F~ (x, y) = hP(x, y), Q(x, y)i, find a function f(x,...
For each vector field F~ (x, y) = hP(x, y), Q(x, y)i, find a function f(x, y) such that F~ (x, y) = ∇f(x, y) = h ∂f ∂x , ∂f ∂y i by integrating P and Q with respect to the appropriate variables and combining answers. Then use that potential function to directly calculate the given line integral (via the Fundamental Theorem of Line Integrals): a) F~ 1(x, y) = hx 2 , y2 i Z C F~ 1...
Consider the function f(x) = 4 + x cos x. Write an equation for : a)...
Consider the function f(x) = 4 + x cos x. Write an equation for : a) A function g(x) such that the graph of g(x) is the graph of f(x), shifted 3 units to the right and scaled with factor 1 vertically. b) A function h(x) such that the graph of h(x) is the graph of f(x), compressed by a factor 3 horizontally and reflected about the y-axis.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT