Find the supremums of the following sets [1 :by proving your results .Si = {a < x < b; x E R} (a %3D .S2 = {a

Q: Find the value of c such that S xe = 3.

A:

Q: A small town is built around a circular pond that has a radius of 1km. The population density of the…

A: Given that: Radius of pond, r=1 kmPopulation density=f(r) per sq. kmr =distance from centre of pond.

Q: Let X have a p.d.f. fx(x) = {} -1 < x < 2, otherwise. Find the p.d.f. of Y = X².

A: Given X have a p.d.f and Y=

Q: 3. Consider the set f = {(x,y) E Z × Z|3x + y = 4}. Is this a function from Z x Z.

A: We need to determine if the given function f=x,y∈ℤ×ℤ3x+y=4 is from ℤ×ℤ Now, 3x+y=4 This means,…

Q: Let f(x) = 4" and g(x) = and evaluate the following: %3D 1. g(0) = 1 2. f(0) = 1 3. g(- 1) = 2 Enter…

A: Put value in function

Q: 3. Find the value of x to three decimal places when: a. 2x = 7 b. 2x+3 = 6x-1 c. 22w + 2(2)w - 15 =…

A:

Q: city law-enforcement official has stated that 20% of the items sold by pawn shops within the city…

A: Since you have posted a question with multiple subparts, we will solve the first 3 sub-parts for…

Q: 3. 2. For f(x) = Vx and g(x) = , find the following: х-6 %3D the a) (f • g)(x) c) The domain of each…

A: (d) (f°g)(9) = 1   The detailed solution is as follows below:

Q: L. (10 pts) Given the function (x) on each of the following i a. [1, 2] b. [1, 17 c. [1,- 16

A: Given function - f(x) = 2x-1Average rate of change of a function is given by the formula =…