Mathematics - 3 October 2007

Let u(x) = g(f(x)). Find:

a) u' (1)
b) u' (2)
c) u' (3)

Here's a link to the graph

http://www.picturetrail.com/gallery/view?p=999&gid=17982084&uid=9963653&members=1

2007-10-03 22:35:43 · 2 answers · asked by i<3WL 2

R=kpM^n

R=46.7
p=60
M=10
k and n are constants.

2007-10-03 22:23:03 · 5 answers · asked by bmxbandit23 2

2007-10-03 22:10:03 · 5 answers · asked by Anonymous

I have a bag of 6 balls, 2 red, 2 blue and 2 green. How many possible combinations are there of all six balls.

What if there were 9 balls 3 of each colour? How many combinations are there of all nine balls?

How did you work it out?

Please help!! Thank you!!

2007-10-03 22:06:04 · 2 answers · asked by Anonymous

It is well known that the limit of 1/x is zero as x approaches infinity, but too many don't know how to prove it. Using the definition of limits, how to prove? i could not understand the book proof.

2007-10-03 21:51:26 · 3 answers · asked by Math 7

Let Z denote the set of all intebers, and let

A={x|x=3p-2 for some p in element Z}
B={x|x=3q+1 for some q in element Z}.

Prove that A=B.

2007-10-03 21:49:34 · 4 answers · asked by garlin104300 1

2007-10-03 21:48:16 · 7 answers · asked by Anonymous

Lawrence, Peter and Richard play a game in which four coins are tossed. Lawrence wins if there is 0 or 1 head. Peter wins if there are 2 heads. Richard wins if there are 3 or 4 heads.

Find the probability that

(ai) Richard will win the game,
Ans: 5/16

(aii) Peter will win the game,
Ans: 3/8

(b) The game is played twice. Find the probability that Lawrence will win one of the two games.
Ans: 55/128

Please show your workings clearly...I'm confused of how to do these questions...Please help..Thanks.

2007-10-03 21:47:34 · 5 answers · asked by Anonymous

2007-10-03 21:11:25 · 9 answers · asked by enziguri2000 1

2007-10-03 21:07:59 · 4 answers · asked by rafa 1

I get dy/dx = [(3x - 7) (40x^7) - (5x^8 - 3) (3)] / (3x - 7)^2

But how to simplify it further? Can show me the steps and explain? Thanks

2007-10-03 20:48:11 · 2 answers · asked by Anonymous

need to know my height in centimeters or feet/ inches, like 5'8 or something.

2007-10-03 20:46:14 · 6 answers · asked by Elisabeth R 3

2007-10-03 20:34:23 · 5 answers · asked by Effrem 1

Horrible question...Does it even have an answer?



A cone is circumscribe around a sphere. The radius of the sphere is 5 units.

The accompanying illustration is of an equilateral triangle (although you cannot assume that this is correct) with a circle touching all three sides, almost like a tangent. From the bottom left corner to the circle’s center there is a line, where the radius is shown as 5 and the rest of the way to the corner is x. From the centre of the circle, strait down the bottom of the original triangle forms a line of 5 units and a 90 degree angle. All of this forms a second triangle inside the first. We were told this is so the you can use the Pythagorean Theorem.

a) Write a formula for the volume, V, of the cone in terms of x. What kind of function is V?
b) Determine the roots of the function in part a. Do the roots have any geometrical meaning? Explain.
c) What is the domain of the function in part

2007-10-03 20:32:43 · 2 answers · asked by C. G 1

And how do I find the distance between these points.
Thanks
Dave

2007-10-03 20:07:36 · 7 answers · asked by Anonymous

Find all the angles between 0 and 360 degrees inclusive which satisfy the equation

(i) 9 tan x = cot x

Please could you also tell me what are the important things or points that I have to look out for so as to make sure that I have done the trigonometry questions correct? Thanks a lot.

2007-10-03 20:05:40 · 2 answers · asked by Anonymous

Would anyone know how to show that Log(base 10) x is big Theta (Log(base 2) x) if anything hints would be fine.

2007-10-03 19:21:57 · 2 answers · asked by Carlos 2

best answers 2 whoever gives best explanation!

2007-10-03 19:12:34 · 4 answers · asked by Anonymous

Eighty-Four quarters are lined up side by side on a table. You begin by replacing every second quarter with a dime. After you have completed this task, you replace every third coin with a nickel. Once this is completed, you replace every fourth coin with a penny. What is the total value of the final 84 coins on the table?

2007-10-03 18:57:43 · 5 answers · asked by pr3ttyinpinkrgv 1

write c in the form ra+sb, where r and s are scalars.

a=3i+2j
b+8i+5j
c+7i+9j

2007-10-03 18:56:18 · 2 answers · asked by Jebediah T 1

F(z) = (1 + Z) / (1 - Z), where Z = x + iy

2007-10-03 18:17:39 · 3 answers · asked by frostwizrd 2

The cubic polynomial f(x) is such that the coefficient of x^3 is 1 and the roots of f(x) = 0 are 1, k and k^2. It is given that f(x) has a remainder of 7 when divided by x - 2.

(i) Show that k^3 - 2k^2 - 2k - 3 = 0

(ii) Hence find a value for k and show that there are no other real values of k which satisfy this equation.

Please help me...I really really have no idea on how to do...

2007-10-03 18:11:07 · 5 answers · asked by ♪£yricảl♪ 4

2007-10-03 17:47:29 · 6 answers · asked by hanye812 1

A box contains 3 yellow, 2 blue, and 4 red pencils. Suppose you choose a pencil, replace and choose another. find the probability of choosing yellow, then red.

2007-10-03 17:38:01 · 4 answers · asked by Ms. LAN 1

i need to know how to get -1/x^2 using the lim h ->0
(f(x+h)-f(x))/ h (derivative function)
i tried couple of times but it's frustrating with the triple fractions i can't seem to get the answer.
someone help~

2007-10-03 17:32:03 · 7 answers · asked by dumdeedoo 2

URGENT!?

2007-10-03 17:26:05 · 7 answers · asked by Allison L 1

2007-10-03 17:15:22 · 6 answers · asked by Garrett T 1

2x^-4=(1/648)

2007-10-03 17:02:18 · 7 answers · asked by oilerman49 2

the theorem in my book is: If two points are each equidistant from the end points of a segment (I got this part), then the two points determine the perpendicular bisector of that segment (I am confused on the part after the comma). THANKS SOOO MUCH!!!

2007-10-03 16:54:07 · 7 answers · asked by Hersheybar 3

educated guess would be aprreciated b/c im lost. please and thank you
Use Quine’s method to classify each of the following formulas as a
tautology, a contradiction, or a contingency.
(a)
(((p ∧ q) → r) ∧ (p → q)) → (p → r)
(b) ((p ∨ q) ∧ (p → r) ∧ (q → s)) → (r → s)

2007-10-03 16:47:36 · 2 answers · asked by Anonymous