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1. Give a counter example and then prove why, i.e., a metric space and a sequence, that disproves the claim: Every Cauchy sequence converges.
2. On the other hand, give an example of a metric space and then prove why in which every Cauchy sequence converges.
Write an equation using the following information: Each represents an exponential function with base 2 or 3 translated and/or reflected
Differentiating a function using the product rule and finding the tangent line equation at particular point.
The distinct equivalence classes of an equivalence relation on a set A provide us with a decomposition of A as a union of mutually disjoint subsets. Conversely, given a decomposition of A as a union of mutually disjoint, nonempty subsets, we can d..
L1=Lo*sqrt(1-(v/c)^2) where Lo is length of an obiect at rest, c is velosity of light, v is velocity of the object. If L2=Lo*(c^2-v^2)/c^2, what is L1-L2?
Prove that there exists only one 4-regular maximal planar graph.
A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale. The firm has, therefore, not bothered to order the item in any systematic way.
Find the prime of function
Show that x^2+1 is irreducible as an element of Q[x] but reducible as an element of Z5[x]
Decompose 6i-3j-6k into vectors parallel and perpendicular to following vectors.
Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
Let a be the permutation (1 2 3) in A_4. What is the order of the element (3, 7, a) in the group U(10) direct product Z_42 direct product A_4.
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