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Write 1 + √3i in modulus-argument form

In order to understand this question we must define what modulus-argument form is. The modulus of a complex number is its distance from the origin (0,0) on the Argand Diagram. It is written as |z|. The argum...
TM
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Solve the inequality x^3 + x^2 > 6x

Start by moving all the terms to one side of the inequality. In this case it's easiest to move the 6x to the left hand side by subtracting 6x from both sides, so that you are left with x^3 + x^2 - 6x > 0....
MS
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How to determine the rank of a matrix?

first the definition of the rank of a matrix is "maximal number of linearly independent column vectors in the matrix" then the question could be rephrased to " how many independent column vect...
YS
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Prove by mathematical induction that, for all non-negative integers n, 11^(2n) + 25^n + 22 is divisible by 24

The procedure of mathematical induction is as following: Firstly prove the base case is true i.e. when n=1, the statement is true. Then assume for some integer n=k the statement is true, and then prove the c...
XZ
10151 Views

How do you calculate the derivative of cos inverse x?

When differentiating cos inverse x, the typical method is to make y equal to cos inverse x.By taking cos of both sides: x = cosy.You can then differentiate with respect to y, obtaining that: (dx/dy) = - siny...
WW
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