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1- let (X,d) metric space and f:X --> X ISOMETRY WITH f[X]is dense in X prove f is homomorphism.
2- suppose (X ,d) metric space has infinitely many distinct connected components.
Is it possible (X,d) compact ? if yes ,give an example if no provide proof?
write a polynomial function f(x) of least degree that has rational coefficients, a leading coefficient of 1, and 1, 2, and 3 as zeros.
(a) How many square inches in area is the aluminum plate (the shaded region)? (b) if the cost to construct the plate is $6.50 per square inch, what is the construction cost?
Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at?
Find the rule for a function that computes the area of the triangle as a function of x. Describe the largest possible domain of this function.
Choose the best decision maximax and maximin principle
A chef wants to make 1 gallon (128 ounces) of a 35% vinegar-to-oil salad dressing. He only has pure vinegar and a mild 4% vinegar-to-oil salad dressing on hand. How many ounces of each should he mix to make the desired dressing?
Examine several newspapers and magazines and describe at least three examples of functions that you find. What is the domain and range of each function?
Suppose that you have a set, if you remove some things from the set, will the remaining things always contain fewer items in it than the original set ?if so why? if not show with a proof.
a triangle field with vertice OPQ has sides OP=402 meters, PQ=388 meters, and QO=254 meters. find the perpendicular distance from the vertex P to the opposite side?
Determine the exact probability of creating a mini license plate with a 5. Give solution exactly in reduced fraction form.
A bag contains 10 red, 12 green, and 8 yellow marbles. Assuming that all marbles are equally likely to be picked from the bag
A cable 16 m long runs from the top of a utility pole to a point on the ground 4 m from the base of the pole. How tall is the utility pole, to the nearest tenth?
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