In the given diagram, each letter represents a different number (from 1 to 9), such that each of A + B +C and C+D +E and E+F+G and G+H +l is equal to 13. What number does the letter E represent? (A) 2 ABC EFG H (B) 4 (C) 5 (D) 7

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A:

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A: Given: nA=15, nB=20, nA∩B=10

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A: Given: a=a1, a2=2, -3b=b1, b2=3, 4c=c1, c2=-1, 5

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Q: In the given diagram, each letter represents a different number (from 1 to 9), such that each of A+…

A: Given,

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A: We use (am)n = amn

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Q: A. В 1 x a n

A: From ven diagram we can get answer easily

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A:

Q: Write the terms a0, a1, and a2 if an = 2n + 5(3n) for n = 0, 1, 2, …

A: We will plug n=0, 1 and 2.   We plug n=0, a0 = 20+ 5(30) = 1+5(1)=1+5=6

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Q: 1. a = 5 and b = -3

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Q: Given that a = (2, -3) , b = (3, 4) and c = (-1, 5) find the number.

A: Given: a=2,-3, b=3,4 and c=-1,5

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Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.