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Arithmetic mean, When three quantities are in A.P., then the middle...

When three quantities are in A.P., then the middle one is said to be the arithmetic  mean of the other two. That is, if a, b and c are in A.P., then b is th

Express the negation of the statement, States the negation of the statement...

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how many of the original vectors, We have claimed that a randomly generate...

We have claimed that a randomly generated point lies on the equator of the sphere  independent of where we pick the North Pole.  To test this claim randomly generate ten  vectors i

Ampltude and period, find the amplitude and period of y=3 sin 2 pi x

find the amplitude and period of y=3 sin 2 pi x

Definite integral, from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 ...

from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS)        = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let

Logarithmic function:solve for x: 4 log x2, Solve for x: 4 log x = log (15 ...

Solve for x: 4 log x = log (15 x 2 + 16) Solution:              x 4 - 15 x 2 - 16 = 0                (x 2 + 1)(x 2 - 16) = 0                x = ± 4   But log x is

The larger angle 15 find the measure of the smaller angle, Two angles are c...

Two angles are complementary. The larger angle is 15° more than twice the smaller. Find out the measure of the smaller angle. Let x = the number of degrees in the smaller angle

Proof of various integral facts- formulas, PROOF OF VARIOUS INTEGRAL FACTS/...

PROOF OF VARIOUS INTEGRAL FACTS/FORMULAS/PROPERTIES In this section we've found the proof of several of the properties we saw in the Integrals section and also a couple from t

Matrices, find inverse of [1 2 3 2 4 5 3 5 6]

find inverse of [1 2 3 2 4 5 3 5 6]

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