Exercise 1. Let (X,dx) be a compact metric space. (a) Verify that dy(f, g) = E 2-"dx(f(n), g(n)) nƐN defines a metric on Y = {f : N → X}. (b) Show that Y is compact.

Q: 2x +3K Zx2 - 4x + 13

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Q: 4. What general shape are the level cuves of z = √x² + y² - 4?

A: The objective is to tell the general shape .

Q: I dont understand what is written. Can you write in another way or atleast have spaces in between…

A: Here we have to determine the sum of convergent series.

Q: Where an Interior point Exists?

A: Interior point: Let S⊆ℝn.  A point a∈ℝn is said to be an Interior Point of S if there exists an…

Q: The first car A moves in the northern direction at a speed u(mph), and the second car B moves to the…

A: The first car A moves in northern direction i.e. towards positive y-axis and the second car B moves…

Q: - 2+ 7x + 4y that lies inside the cylinder Find the surface area of the part of the plane z = x² +…

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Q: © Applyjing guaphicd amlyin to silve the fallomng graphical analyin to selve the n pieblen. muximiz…

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Q: let v = (1, 3, −2) and w = (2, −1, 4). Find the area of the parallelogram spanned by v and w.

A: Given: v=1,3,-2 w=2,-1,4 Determine the cross product of v and w.…

Q: 22) The given equ" of the circle (x+12) ² + (y + 5) ² = 169 Here centre of the circle ins (-12,-5)…

A: The following is the digital format of the given text.

Q: Show that if (, y, z) is a Pythagorean triple then 60|xyz.

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Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

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Q: 1) Evaluate f f f(e-²-²-2)3/2dV, where D is the sphere of radius 1 centered at the origin.

A: Answer

Q: ✓ 3.11 Find M+. 292 (a) M = { (c) M = { (e) M = { { (₁) |x=0} () (f) M={y|-x+3y+z=0} (g) M={y | x =…

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Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.