Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
Find a necessary and sufficient condition for five points to form a projective frame in a three dimensional projective space P.
Find the volume of the solid that is generated by rotating the region formed by the graphs of y = x2, y =2 and x = 0 about the axis.
Let z1 and z2 be two points on a circle C. Let z3 and z4 be symmetric with respect to the circle. Show that the cross ratio (z1,z2,z3,z4) has absolute value 1.
What is the total area that the cow is capable of grazing, show how you arrived at that answer.
A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet.
The region in the first quadrant bounded by the graphs of y = x and y = x^2/2 is rotated around the line y=x.
A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
Find the volume of the solid generated by the revolving R around the y-axis by the methods of cylindrical shells.
Determine the equilibrium position of a cylinder of radius 3 inches, height 20 inches, and weight 5pi lb that is floating with its axis vertical.
If she uses 60 yards of fencing to enclose an area of 352 square yards, then what are the dimensions marked L and W?
If " S " is the set of all "x" such that 0=x=1, what points, if any, are points of accumulation of both "S" and C(S)?
You are part of a panel of parents, teachers, and administrators working to revise the geometry curriculum for the local high school.
Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain.
Prove the main property of the first set mapping: A1 ? A2 ? f(A1) ? f(A2)
Let X be a non-empty set. The identity mapping ix on X is the mapping of X onto itself defined by ix(x) = x for every x.
Two mappings f: X?Y and g: X?Y are said to be equal ( and we write this f = g ) if f(x)= g(x) for every x in X. Let f , g and h be any three mappings.
Consider an arbitrary mapping f: X?Y. Suppose that f is a one-to-one onto. Prove the main property of the second set mapping: f-1 (Y) = X
If 1 gallon of paint covers 300 ft2, how many gallons are needed to paint the surface if it requires three coats? Round up to the nearest gallon.
Let X and Y be non-empty sets and f a mapping of X into Y. Show that f is onto ? there exists a mapping h of Y into X such that fh = iY .
If there exists a mapping g with this property, then there is only one such mapping. Why?
Let X and Y be non-empty sets. If A1 and A2 are subsets of X , and B1 and B2 subsets of Y.
Let X and Y be non-empty sets. If A1 and A2 are subsets of X and B1 and B2 subsets of Y, show that (A1 x B1) U (A2 x B2) = (A1 U A2) x (B1 U B2).
Let f: X?Y be an arbitrary mapping. Define a relation in X as follows: x1 x2 means that f(x1) = f(x2).
In the set R of all real numbers, let x˜y means that x - y is an integer. Show that this is an equivalence relation and describe the equivalence sets.
Decide which ones of the three properties of reflexivity, symmetry, and transitivity are true for each of the following relations.