fractions, Mathematics

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Solution to a differential equation, A solution to a differential equation ...

A solution to a differential equation at an interval α Illustration 1:   Show that y(x) = x -3/2 is a solution to 4x 2 y′′ + 12xy′ + 3 y = 0 for x > 0. Solution : We'll

Fundamentals of math, When there are 4 dots how many chords are they

When there are 4 dots how many chords are they

Calculate the average, During 2008 the average number of beds required per ...

During 2008 the average number of beds required per day at St Hallam's hospital was 1800.  During the first 50 days of 2008 the average daily requirement for beds was 1830, with a

Complex numbers from the eigenvector and the eigenvalue, Complex numbers fr...

Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.

Example of making connections of a child with maths, After a lot of effort,...

After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r

Mean, a data set has a mean of 3, a median of4, and a mode of 5, which numb...

a data set has a mean of 3, a median of4, and a mode of 5, which number must be in the data set 3,4,or5

Dynamath, The canister of the nerf super soaker washout holds 22 ounces of ...

The canister of the nerf super soaker washout holds 22 ounces of water. say you use 1/2 of the water. how much water is left in the canister

Real numbers, All the number sets we have seen above put together com...

All the number sets we have seen above put together comprise the real numbers. Real numbers are also inadequate in the sense that it does not include a quantity which i

Show that tan = 1/v3 , If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3  ...

If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3                      . Ans:    If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan?  1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)

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