37. How many sets of five marbles include at least two red ones? ANSWER I 100

Q: Find the value of r for which r -B V= -9 || is in the set 5 0 0 -3 5 0 HOO 2 3 -2 2 -3 S = span- r =

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Q: Use DeMoirve's Theorem to find: (1– iv3)2

A: We first try to express 1-i3 using polar form.r=12+(-3)2=1+3=4=2θ=tan-1yx=tan-1-31=tan-1-3=-π3So,…

Q: 3. Prove the pythagorean Theorem

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Q: What is the equation of the following circle? 7)2 = 2

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Q: 1. Which statement correctly represents the distance between points E and F? (0,0,5) A 0.0.0 ++++ B…

A: NOTE: Refresh your page if you can't see any equations. . the  coordinate of E and F are

Q: 11. Prove (AUB) × C = (A x C) U (B × C)

A: 11 prove (A U B)*C = (A X C) U (B X C) here this is the property of distributive  so this is direct…

Q: Suppose y E span{X₁, X₂}. Explain why span{x₁, x2, y} = span{X₁, X₂}.

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Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

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Q: Prove that OfVg.dr = ] (Vfx Vg) · N ds.

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Q: 3) Let x = (-1,3,2,-4), and y = (1,0,2,3). Find the following distances || x = || = ? []x - || =?

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Q: Let x and y be positive real numbers. Prove that a + y > 2/xy.

A: See solution below

Q: a) What is the role of a and k in y = alx|+k?

A: Answered first question as per our company guidelines. Second question is incorrect please repost…

Q: rly). Let a) Evaluate r(20)

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.