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Chart movement using latitude and longitude.To chart the movement of a polar bear, scientists attached a radio transmitter to its neck.
Identifying types of conics. For each of the equations identify the type of conic it is and list the major features associated with this type of conic
For each of the 5 regular polyhedra, enumerate the number of vertices (v), edges (e), and faces (f), and then evaluate the quantity v - e + f.
Subset Game involving Intervals and Subintervals.In the following infinite game, Alice and John take turns moving.
Path connected problems.Show that, for n>1 , the sphere Sn is path connected.
Nullhomotopic Mappings and Contractible Spaces. A space X is contractible if and only if every map f:X to Y (Y is arbitrary) is nullhomotopic.
Write down the Taylor polynomial Pn,0 (x) of 1n(x+1),x>-1. Use Taylor's theorem to
Compact metric space and contraction maps.What property regarding fixed points and contraction maps can be deduced from this result ?
Protective Planes Spaces.Show that the projective space with a disk removed (more precisely, the image of a disk on S2 under the natural projection pi
Truth table statement and argument. Write the statements in symbolic form
Set builder notation.Are the two sets below equal, equivalent, neither or both? Explain your answer.
Determine the following and explain your answer-Symbolic form
Mathematical reasoning.The Pythagorean Theorem for right triangles states that if a and b are the lengths of the legs
Give a counterexample to show that the converse (if limn?8 an = 0 then limn?8 1/an = 8) is false.
Continuous problems 1. Use the definition of ƒ(x) ?8 as x ?8 to show that ƒ(x) = x + 2 ?8 as x?8
Uses of the Pythagorean Theorem.Geometry is a very broad field of mathematics composed of a wide range of tools
Gaussian Elimination with Partial Pivoting.Solve the following system using Gaussian elimination with partial pivoting:
Relational Algebra. From the following relations, write the Relational Algebra to:
Two mountain bikers started from the ranger station in Rocky Mountain National Park traveling in the same direction on Trail Ridge Road.
Find the deterministic solution for defining the position of a reflective object where the direct path and reflective path are known.
Find an equation of the largest sphere with center (10, 1 , 3) that is contained completely in the first octant.
If Bob had $150 more saved he would have five times as much saved as he currently has saved. How much does Bob currently have saved?
The student-teacher ratio for Stratford High was reported to be 27.5 to 1. If there are 42 teachers, how many students are in the school?
To stay competitive with the fast food restaurant across the street, the Pico de Gallo Restaurante offers a lunch special.
Write the standard form of the equation of the line passing through the point (1,-2) and perpendicular to the line y=-3/2x-2