Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...

Show that the set GL(n, R) of invertible n × n real matrices is open in the space of n × n matrices, with the metric being the Euclidean metric in Rn^2 when a matrix is identiﬁed with a long, n2...

a. How much oil (in gallons) should be mixed with 7 gallons of gasoline? b. If 1 gallon equals 128 fluid ounces, write the answer in fluid ounces. Mix ______ gallons of oil with 7 gallons of gas (simplify...

Murphy’s Law says, ”If something can go wrong, it will.” Given our discussion of randomness, do you agree or disagree with this law? (Try to place it as a discussion of coincidence.)

Denoting, as usual, by (a, b) an ”open interval”, {x : a<x< b} and by [a, b] the corresponding ”closed interval”, {x : a≤x≤b} of real numbers, prove that sup(a, b)=sup[a, b]=b and inf(a, b)=inf[a,...

Kate is touring Vietnam for four days. The car rental is $38.15 per day plus 12½ cents per mile. If Kate drives 380.5 miles, how much does she owe the rental company? A. $152.60 B...

How many 500-page books can the tablet hold?

The manager of an e-learning company identified a new course that they could create and sell for $80 per student. The costs for adding this new course to their product offering would be: $2,200 per...

Suppose Juan and Pedro each throw a baseball into the air. The height of Juan’s baseball is given by h(t) = -16t2 +79t +6 , where h is in feet and t is in seconds. The height of Pedro’s baseball...

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Need help trying to solve this problem cause I just don't understand

8000 dollars is invested in a bank account at an interest rate of 8 per cent per year, compounded continuously. Meanwhile, 18000 dollars is invested in a bank account at an interest rate of 3 percent...

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evaluate The Difference Quotient For The Given Function. Simplify Your Answer. f(x)=x^3, f(a+3)-f(a)/h

The demand function for a product is p=32-2q where p is the price in dollars when q units are demanded. Find the level of production that maximizes the total revenue and determine the maximum revenue...

A jury has 12 jurors. A vote of at least 10 of 12 for "guilty" is necessary for a defendant to be convicted of a crime. Assume that each juror acts independently of the others and that the...

It is hard to imagine the Federal deficit, or the budget, even the population of the world, the size of the known Universe, or how small is the smallest known particle. We have ways to talk about...

A. cos 11π/12 B. cos 195◦

Scores on a SAT form a normal distribution of µ = 500 and σ = 100 1) What is the minimum score necessary to be in the top 20% of the SAT distribution? 2) find the range...

Please write in terms of sine and cosine!

A.) sin 11π/12 B.) tan 165°