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What inequalities and intervals are? If it is given that a real number 'p' is not less than another real number 'q', we understand that either p should be equal to q or p should be greater than q. We express the same as p = q or p > q or p ≥ q. If p is greater than q, then, is not p - q a positive number? It is. Statements like p < q or p > q are called inequalities. We employ the concept of inequalities to understand sets referred to as intervals. We define an interval as a range of values from which the real number "p" is likely to assume values. In this context, interval is more restricted as compared to a set of real numbers which ranges from + ∞ to - ∞ . We should note that ' ∞ ' is not a real number and it is employed only because of convenience.
At rest, the human heart beats once every second. At the strongest part of the beat, a person's blood pressure peaks at 120mmHg. At the most relaxed part of the beat, a person's bl
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The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?
f(x)+f(x+1/2) =1 f(x)=1-f(x+1/2) 0∫2f(x)dx=0∫21-f(x+1/2)dx 0∫2f(x)dx=2-0∫2f(x+1/2)dx take (x+1/2)=v dx=dv 0∫2f(v)dv=2-0∫2f(v)dv 2(0∫2f(v)dv)=2 0∫2f(v)dv=1 0∫2f(x)dx=1
Will has a bag of gumdrops. If he eats 2 of his gumdrops, he will have among 2 and 6 of them left. Which of the subsequent represents how many gumdrops, x, were originally in his b
us consider the following mass-spring-damper system: md2xdt2+cdxdt+kx=0 with m=5 kg as the mass of the body, k=1.6N/m as the spring constant and two different values of c.
Consider the function f(x) = x 2 - 2x - 1. (a) Factorise f(x) exactly. (b) Find the exact points (x and y coordinates required) where the graph of y = f(x) cuts the x and y-
The 't' distribution is a theoretical probability distribution. The 't' distribution is symmetrical, bell-shaped, and to some extent similar to the standard normal curve. It has an
Prove that, the complement of each element in a Boolean algebra B is unique. Ans: Proof: Let I and 0 are the unit and zero elements of B correspondingly. Suppose b and c b
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