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How to find total no. of unordered pairs of disjoint subsets of a finite set? Solution) Suppose A and B are two such disjoint subsets of the set S. Then every element can go into A or B or the set S (3 choices). We only require to exclude the possibility of all elements choosing to be in S itself. Therefore the number of ways is 3n-1
find the value of 0 that makes cos 21 degrees = sin 0 statement true.
maria has a slice of pizza that is 1/6 of the pizaa.Ben has a slice of pizza that is 1/3 of the pizza, marias slice is bigger.draw pizzas to show how this is possible.
A car travels at a rate of (4x2 - 2). What is the distance this car will travel in (3x - 8) hours? Use the formula distance = rate × time. Through substitution, distance = (4x2
1. A stack of poles has 22 poles in the bottom row, 21 poles in the next row, and so on, with 6 poles in the top row. How many poles are there in the stack? 2. In the formula N
Q. Definition of Logarithms? Ans. A logarithm to the base a of a number x is the power to which a is raised to get x. In equation format: If x = a y , then log a x
use the Pythagorean Theorem to find the length of the missing side. Then find the indicated trigonometric function of the given angle. give an exact answer with a rational denomina
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
Dawn wants to evaluate the volume of a basketball along with the volume of a tennis ball. Which formula will she use? The volume of a sphere is 4/3 times π times the radius cub
A telephone exchange has two long distance operators.The telephone company find that during the peak load,long distance calls arrive in a poisson fashion at an average rate of 15 p
We will begin this chapter by looking at integer exponents. Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in a
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