trigonomentry, Mathematics

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Differential equation and laplace transform, 1. Solve the given differentia...

1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti

Prove that op=2ap, Two tangents PA and PB are drawn to the circle with cent...

Two tangents PA and PB are drawn to the circle with center O, such that ∠APB=120 o . Prove that OP=2AP. Ans:    Given : - ∠APB = 120o Construction : -Join OP To prove : -

Find the middle term of the arithmetic progressions, Find the middle term o...

Find the middle term of the AP 1, 8, 15....505. A ns:    Middle terms a + (n-1)d = 505 a + (n-1)7 = 505 n - 1 = 504/7 n = 73 ∴ 37th term is middle term a 37

What is metric system explain in brief, What is Metric System explain in br...

What is Metric System explain in brief? There are two main systems of measurement in use today. Most countries in the world use the Metric System. In only three countries-the

Differences of squares and other even powers, Differences of Squares (and o...

Differences of Squares (and other even powers) ? A square monomial is a monomial which is the square of another monomial. Here are some examples: 25 is the square of 5 x 2 i

Multiplication in decimal notations., Consider the following multiplication...

Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution) a=8 b=6 c=8 d=8 e=6 f=7 In other words, 999 * 877 = 8

Real exponents, It is a fairly short section.  It's real purpose is to ackn...

It is a fairly short section.  It's real purpose is to acknowledge that the exponent properties work for any exponent.  We've already used them on integer and rational exponents al

Ratio, 2qt :6qt::x :48? help me solve x

2qt :6qt::x :48? help me solve x

Order of Operations with Fractions, 1.)3 3/8 divided by 4 7/8 plus 3 2.)4 ...

1.)3 3/8 divided by 4 7/8 plus 3 2.)4 1/2 minus 3/4 divided by 2 3/8

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