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What dies 4 and t b b in a p stand for?
4 and twenty blackbirds baked in a pie.
What is a partial sums?
Partial sums are used in calculus: for integration. Suppose you wish to integrate an algebraic fraction of the form f(x)/g(x) where f and g are polynomial functions of x with integer coefficients. If the coefficients are rational but not integer then they can be converted to integer simply by using the LCM. Also, suppose that the order of f(x) is less than that of g(x). Otherwise divide f(x) by g(x) to reach a position where the order of f is less. Then if g(x) can be factorised as g(x) = p(x)*q(x) where p and q are polynomials in x and are of lower order than g. Then f(x)/g(x) can be written as u(x)/p(x) + v(x)/q(x) where u and v are of lower order than p and q, respectively. This is particularly important when g(x) is a quadratic and g(x) = p(x)*q(x) where p and q are binomials. Then f(x)/g(x) = A/p(x) + B/q(x) where A and B are constants. and then, if I represents the integral, I(f/g) = I(A/p) + I(B/q) = A*I(1/p) + B*I(1/q) = A*ln|p| + B*ln|q| + C where C is the constant of integration. = k*ln{|p|^A/|q|^B} where k = e^C u(x)/p(x) + v(x)/q(x) are partial fractions for f(x)/g(x). Because partial fractions are polynomials of lower order than the original fractions, there is a greater chance that there is a simple analytical integral.
How do you subtract fractions butterfly method?
For the denominator, multiply the denominators together. For the numerator, subtract the second numerator multiplied by the first denominator from the first numerator multiplied by the second denominator: a/b - p/q = (a x q - b x p)/b x q eg: 6/7 - 3/4 = (6 x 4 - 7 x 3)/7 x 4 = (24 - 21)/28 = 3/28
Prove that if a and b are rational numbers then a multiplied by b is a rational number?
If a is rational then there exist integers p and q such that a = p/q where q>0. Similarly, b = r/s for some integers r and s (s>0) Then a*b = p/q * r/s = (p*r)/(q*s) Now, since p, q r and s are integers, p*r and q*s are integers. Also, q and s > 0 means that q*s > 0 Thus a*b can be expressed as x/y where p and r are integers implies that x = p*r is an integer q and s are positive integers implies that y = q*s is a positive integer. That is, a*b is rational.
If the equation x2 minus ax plus 2b equals 0 has prime roots where a and b are positive integers then a minus b is equal to?
I think you mean the roots are prime numbers. Let the two roots be primes p and q Then the equation factorises to (x - p)(x - q) = 0 which can be expanded to give: x² - (p + q)x + pq = 0 Which comparing coefficients of the original gives: a = p + q 2b = pq as b is an integer, pq must be even, → at least one of p or q must be even → as they are both primes and at least one is even, it MUST be 2 as 2 is the ONLY even prime Assume p is an even prime, ie p = 2 → a = 2 + q 2b = 2q → b = q → a - b = (2 + q) - q = 2 (It doesn't matter if the other prime is even (2) or not as it cancels out from a - b.)
Where can you buy Alex rider the Gemini project?
Well for one you cant buy Alex Rider the Gemini Project because it doesn't exist what your after is Alex Rider Point Blanc and as for that you can buy it in many places like amazon or got to the libary and get it :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :D :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :p :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :o :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :b :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :x :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :) :)
What does the you stand for P equals V x I?
There is no "you" in P = V x I
Formulas on Percentage Base and Rate?
P=B×RB=P÷RR=P÷B
How can the rule for the probability of 2 independent events be extended to 4 or 5 independent events?
p(A and B) = p(A) x p(B) for 2 independent events p(A and B and ...N) = p(A) x p(B) x p(C) x ...x p(N) In words, if these are all independent events, find the individual probabilities if each and multiply them all together.
What are all of the MySpace chat smileys?
:B :P P) :) :( ;( B) or 8) :D ;) P) X) :Z :X :x There are tons more, but those are a few listed.
What does the P and the b stand for in lead abbreviations?
Plumbum
What is the greatest common multiple of 100 and 140?
No two numbers can have a greatest common multiple. For, suppose x is the greatest common multiple of two numbers, a and b. That means x = m*a and x = n*b where m and n are some positive integers. Then any multiple of x, say p*x where p is an integer, will be a multiple of a and b because p*x = p*(m*a) = (p*m)*a p*y = p*(n*b) = (p*n)*b m,n,p are integers so p*m and p*n are integers and p*x > x So p*x is a common multiple, and is greater than x, contradicting the assumption that x is the greatest.
What does 5 e in a p stand for?
Events in a pentathlon.
What does this stand for 36 B K ON A P?
36 = BK on a P = Black Keys on a Piano
What is union probability?
A union probability is denoted by P(X or Y), where X and Y are two events. P(X or Y) is the probability that X will occur or that Y will occur or that both X and Y will occur. The probability of a person wearing glasses or having blond hair is an example of union probability. All people wearing glasses are included in the union, along with all blondes and all blond people who wear glasses. According to Professor Franz Kurfess of California Polytechnic State University, San Luis Obispo, union probability of two independent events A and B can be denoted as: P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = P(A) + P(B) - P(A) * P (B)
What does p b and j stand for?
Peanut butter and jelly (sandwich).
What equation would have a graph with a y-intercept of zero?
Any F(x) = P(x) + b, where b = 0 and P(x) can be factored by x. Ex) y = 843x y = x^32 + x^23 + 4x
