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(1) Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided. How do you know each one you find really fills in all the gaps around a vertex point? How do you know when you're done?
(2) Find ( and describe) all the semiregular tessellations of the plane ( you will need to find a good way to denote them.)
(3) what triangles will tessellate the plane? Try all kinds.
(4) which quadrilaterals will tessellate the plane ? try all kinds.
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
ased upon statistical studies it has been found that 3.32% of all births in the United States will result in twins being born. If 17,300 births are selected at random what is the probability that: Find the Probability of Twin Births
Find the vertices, foci, length of the major axis and length of the minor axis of the elipse ((x-1)^(2))/(4)+((y-2)^(2))/(9)=1
Calculate the ambiguity function of a signal with an envelope u(t) = Bexp(-t^2)T^2). What should be the value of B that will make the signal of the unit energy?
Calculate an exponentially smoothed forecast, using an alpha value of .30.
The region bound by the circle (x-a)^2 + y^2 = a^2 is revolved around about the y-axis to generate a solid
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
At a particular University students must receive one of the following grades: A, B, C, D and F. What is the minimum number of students required in a course to ensure that at least 5 will receive the same grade?
To estimate animal populations, biologists count the total number of animals in a small section of a habitat. The total population of animals is directly proportional to the size of the habitat (in acres) polled.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
Graphing the given function using the graphing utility - Compare with the exact solution w(t) = 2ln(1 + t) + 3.
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