Dr. Who

Find the constant term i nthe following expansions:

(y + (1/y))^3 * (y - (1/y))^5

please help me!

log(base 2) x + log(base x) 2 = 2

please help!

12sqrt2 * cis(7pi/12)

please help!

A club has 17 members, 10 females and 7 males. They have to elect three officers: president, deputy and treasurer. In how many ways is this possible if

(a) the deputy must be a male, the president can be any gener, but the treasurer female?

(b) the president and deputy are of same gender?

(c) all three officers are not same gender?

Please help!

3^(2x+1) - 7 * 3^x + 4 = 0

please help!

(3x-4)^2x^2 = (3x-4)^5x-2

please help!

I came across a question that asked me to deduce an eqaution for

phosphoric acid + potassium hydroxide:

According to the textbook the answer is

H3PO4 + 3(KOH) -> K3PO4 + 3H2O

how do they get the 3 infront of KOH and H2O please explain how to get such a reaction?

Thanks alot!

I got 6.4E-5 as an answer on my calculator, how do I deduce the exact value of this?

How do I get 1 - (1/(x^2 + 1)) from (x^2 / (x^2 + 1)) please help!

How can I explain what happens with the function v(t) = 50-10e^(-0.5t) as t turns to infinity, without having to graph the function using a calculator?

Please help :-)

How do I factorise 2x^3-3x^2-10x+24

especially how do I find out that one of the factors is (x-2)?

Please help :-)

As above,

PLease help :))

Is 5x^2/2 - x^3/3

the same as 5/2 * x^2 - 1/3 * x^3

Please help :-)

How do i get tan(x)/cos(x) from:

- (-sin(x)) / cos^2(x)

please help :-)

When applying differential calculus to determine the nature of turning points, I commonly come across questions requiring to produce a sign diagram:

Say you have (3-x)/e^x where e^x is positive for all x

The book gets that at x = 3 there is a maximum turning point, with sign diagram positive below 3 and negative above 3.

But how do you get the values on the sign diagram (i.e., where it is positive or neg.) ??

Is there any other way apart from graphing the function using technology or plotting in slightly lower and slightly higher values of x into the original equation?

Please help :-)!!!

As above, please explain :-)

Im trying to solve an equation using De moivre's theorem:

I am stuck at simplifying cis(x)

If I have cis (-11pi/3) how can I get cis (pi/3)??

Suppose I have 14thsqrt(2) * sqrt(2) * cis (15pi/4)

And the next part of the answer is 2^7 * sqrt(2) cis (7pi/4)

How do I get from 15pi/4 to 7pi/4

Please Help me!! :-)

Please show me how to simplify this by showing each step... you should get -120/119

(-5/6) / (1 - (25/144))

Thx :-)