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A lab assistance prepares 2.50 liters of a 0.5000 M KCl solu…

A lab assistance prepares 2.50 liters of a 0.5000 M KCl solution.  What mass of KCl was used to prepare this particular solution? (Molar masses of K = 39.098 g/mol, Cl = 35.45 g/mol)  — [HINT: What units can you use to “M”?]

Published August 15, 2021
Categorized as Uncategorized

In the interest of enhanced buffering capacity, what is the…

In the interest of enhanced buffering capacity, what is the best way to prepare an acidic buffer? [HINT: Read the each answer in its entirety]

Published August 15, 2021
Categorized as Uncategorized

Consider the function on R2 (R is the set of Real numbers) u…

Consider the function on R2 (R is the set of Real numbers) u(x,y)=min{x2y,xy}. What is the maximizer of f in the set {(x,y): x+5y=10}? (Hint: consider a vector in the hyperplane (1 5).(x,y)=10; when can this vector be a maximizer of u if x2y>xy? What if x2y

Published August 15, 2021
Categorized as Uncategorized

Given a function g:X->R (R is the set of Real numbers), the…

Given a function g:X->R (R is the set of Real numbers), the binary relation associated with g, is defined as follows: {(x,y):g(x) ≥ g(y)}. Let f:R->R be the function f(x)=x2. Which of the following functions has the same associated binary relation as f?

Published August 15, 2021
Categorized as Uncategorized

Let f:Rn->R (here R is the set of Real numbers) be a continu…

Let f:Rn->R (here R is the set of Real numbers) be a continuous functions. Let x in Rn and consider the set A={y in Rn: f(y) ≥ f(x)}. Then,

Published August 15, 2021
Categorized as Uncategorized

Consider the function u(x1,x2)=min{x12,x2}. Let p=(1 2) and…

Consider the function u(x1,x2)=min{x12,x2}. Let p=(1 2) and w=1. Among the vectors {x≥0:p.x≤1}, which one maximizes u?

Published August 15, 2021
Categorized as Uncategorized

For each n in the Natural numbers, let An=[1/n,2/n]. Then th…

For each n in the Natural numbers, let An=[1/n,2/n]. Then the intersection of this collection is?

Published August 15, 2021
Categorized as Uncategorized

Let f:R2->R2x2 defined by (x,y)|->f(x,y)=[x x+y2; y xy] (her…

Let f:R2->R2x2 defined by (x,y)|->f(x,y)=[x x+y2; y xy] (here x x+y2; is the first row of f(x,y), and y xy the second). Let v=(2,1) be a vector in R2. Then:

Published August 15, 2021
Categorized as Uncategorized

Which of the following sets is compact?

Which of the following sets is compact?

Published August 15, 2021
Categorized as Uncategorized

For each Natural number, n, let Bn=(-2n,4n). Then the union…

For each Natural number, n, let Bn=(-2n,4n). Then the union of the family?

Published August 15, 2021
Categorized as Uncategorized

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