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Simple calculus question that i just cannot get my brain around currently. A lamp is 6m directly above a straight path. A man 2m tall walks along the path away from the light at a constant speed of 1 m/s. At what speed is the end of his shadow moving along the path? At what speed is the...

-1<=x<=1 since sinx would not exist beyond it.

Well there are certain HSC camps. Im going to one in july ran by youthworks.

But -b/a doesnt really have to be interger does it? It says a+b add to a no.>0 and only specify that b and a are integers. So b/a could be fraction

If someone could help me to solve this question, I would be very much appreciated. P(x) is a monic polynomial of degree 4 with integer coefficents and constant term 4. One Zero is sqrt 2, another zero is rational and the sum of the zeros is positive. Factorise P(x) fully over R

One more question. If P(x) is a monic, degree 4, integer coefficent and constant term of 2. P(x) has a zero i, and a rational zero. The sum of the zeroes of P(x) is a postive real number. Find P(x), factorise fully with R. After solving question, we get ab = 2, where a and b are roots The...

Could you do it for me? Divide P(x) by (x+i) Just to make sure.

Obviously exceptions will be given.

Remainder of P(x) = x^3-3x^2 + 4x -2 when divided by (x+i) Isnt P(-i) = -i + 3 -4i -2 since (-1 x i)^2 = 1 x i^2 = -1?

any one?

36 is what ive got.

Didnt do much work at all:(.

Enough to live comfortably? How much is that?

thats interesting. Can they be complex?

For sqrt(k+1) <= (8k + 5 )/6 Not really sure if its an applicable method: Solving via quadratics: k = \frac{-44 \pm \sqrt (44^2 - 4 . (-11) . 64)}{128}\\ k = 0.1948 or -0.88 Via graph and observation, k > 0.1948 for hence sqrt(k+1) <= (8k + 5 )/6 for all n>=1 Using Induction Assume True for n...

Hormones works until you die m8. + It might just be a temporary craving of the body. It can change things just like alchohol.

No for bad people to good things that take religion. But for good people to do bad things that takes idiocy and human stupidity. Religions doctrines don't promote evil deeds. I thought we had gone through this yesterday.

Its all about perception and lust. Hormones ravaging our brains.

Its july 28th. Thats pretty far away from trials isnt it? Considering this is only term 2.

Im leaving our the second part of your argument for it is irrelevant. Firstly, you cannot say that the designer is at fault. Free will cannot be determined. But once again, you do not know the workings of God, and his transcendence of time. And really he provided a solution to our sinfulness...