Which functions are one-to-one? Which functions are onto? Describe the inverse function A)F:Z^2-N where f is f(x,y) x^2 +2y^2 B)F:N->N where f is f(x) = x/2 (x even) x+1 (x odd) C)F:N->N where f is f(x) = x+1 (x even) x-1 (x odd) D)h:N^3 -> N where h(x,y,z) = x + y -z
Let P be the power set of {a,b,c}. A function: f: P -> Z follows: For A in P, f(A) = the number of elements in A. Is f one-to-one? Prove or disprove. Is f onto? Prove or disprove.
Let P be the power set of {A, B} and let S be the set of all binary strings of length 2. A function f: P -> S is defined as follows: For A in P, f(A) has a 1 in the high-order bit position (left end of string) if and only if a is in A. f(A) has a 1 in the low-order bit position (right end of string) if and only if b is in A. Is
Find the equation of the line to y = x^(sin x) at the point [(pie/2),(pie/2)] Show all work and reduce to lowest terms.
Please see attachment Determine the Laplace transform of the function.
Maximize f(x,y) = sqrt(6- x^2 - y^2) given the constraint x+y-2=0.
Find the Taylor polynomial of degree 4 of at c=4 and determine the accuracy of the polynomial at x=2.
For the equation 4x-2y=6 find (a) slope (b) y-intercept.
Graph the system of inequalities and solve. Y > 2x - 4 y < 2x + 1
1a.)Is y=x^4 a single- or multi-valued function? b.)Is y=f(x)=x^2+4x an even, odd, or neither function? c.)What is the inverse function of y=x^4 d.)What is the inverse function of (b.),y=x^2+4x? e.)Is the inverse function from (d.), odd, even, or neither?
The earth with center at the origin has equation of xsquared + ysquared =65 where x and y are distances in thousands of kilometers. Will either of these two meteorites whose equations I will give you strike the earth? The first meteorite is a parabola whose equation is 18x-ysquared = -144. Please show all steps in sketching and
Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet. First equation is 9(x-squared)+25(y-squared)-72x=81 Second equation is 9(x-squared)-15(y-squared)=9 Graph these two conical
Please see the attached file for the fully formatted problems. Let h 2 C2(R3) be harmonic (h = 0). Using Green's identity for .... is independent of the value of R. Then one can deduce the mean value theorem .... Now what can you say if limx!1 h(x) = 0?
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form, the slope-intercept form or the standard form line. You are not to graph the line here but help illustrate your point . You are only required to use the line of the forms to iden
Please see the attached file for the fully formatted problems. Prove that if D is the closed disc |x| =< 1 in R2, then any map f E C2[D --> D] has a fixed point: f(x) = x. The proof is by contradiction, and uses Stokes theorem. Follow the steps outlined below. (1) Define a new map F(x) = ... ..... Show that F has no fixe
Solve for: sin-1 (cos x) (Limit solution to an acute angle.)
If you were required by a professor to find a spanning tree of the movie collaboration graph (where each node corresponds to an actor with finite Kevin Bacon number, and two nodes are connected by an edge if the corresponding actors have been in a movie together), how would you do it? Why would you choose your method over other
Does every graph have a spanning tree? If not, then can you tell from the number of nodes and the number of edges a graph has whether it has a spanning tree, or do you need more information?
1. Let h(x) = (8x - 5)/(7-x). (a) Find the inverse of the function h. Show work. (b) What is the domain of h? What is the domain of the inverse of h? 2. Use a calculator (standard scientific calculator or the online graphing calculator) to find each of the following values. Write your answer rounded to 4 decimal places.
The discrete rv W has the pmf pw(W) = klog[(w+1)/w] for w = 2,3,4,5; 0 otherwise k = 1/ log(3) (a) deduce the mgf of W (b) Calculate E[W] and var[W] using the mgf (c) Determine and sketch the distribution function of W
Please see the attached file for the fully formatted problems. (a) FIND the Green's function for the operator with L = + w2 with u(a) = 0 dx2 u(b) = 0 and a < b, w2 a fixed constant. i.e. SOLVE Lu = ?ö(x ? ) with the given boundary conditions. (b) Does this Green's function exist for all values of w? If NO, what are the
Find the area of the region bounded by the graphs of y = x^2+3x−1 and 25x−3y = 19.
Find the equation of the line tangent at the point (4,1). Given: sqrt(y) + x(y^2) =5
Can you please assist me withthe following problems. Please show the steps so that I can follow and gain a better understanding. Thank you for your assistance in this matter. Page 364-365 #6, 22, and 62 Page 371 Matched Problem 4 Page 373-375 #6, 12, 26, 44, 46, and 52.
Find the slope and Y-intercept of: 1) -4Y=5X-6 2) 4X + 5Y = -20
A) Explain what is the y-intercept and which letter represents it in the equation y = mx +b. b) If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?
Graph an ellipse as a polar function with a focus at the pole and parameterized by the eccentricity e and the distance d between the focus and a vertical directrix. ----------------------------------------------------- Please show me how step-by-step on how you would graph this. Thanks
Graph an ellipse as a polar function with center at the pole and parameterized by the lengths of the semi-major and semi-minor axes. Can someone please show me step-by-step on how to do this?
Please see the attached file for the fully formatted problems. Let f be the function defined by f(x) = sigma (starting at n=1 ending at infinity) xnnn /(3n n!) for all values of x for which the series converges. a) Find the radius of convergence of this series b) Use the first three terms of this series to approximat
Please see the attached file for the fully formatted problem. Express d(xa) in terms of the Dirac delta "function" d(x), where a is a non-zero constant.