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Could you check if this is right please? If z1 = 2 cis (5pi/6) and z2 = 3cis (2pi/3). Write z1z2 in a) mod arg form b) a + ib form a) z1z2 = 2 cis (5pi/6)3cis (2pi/3) = 6cis ( 3 pi / 2) = 6 cis 270 b) a = rcos@ b = rsin@ Now...

Another question i cant do..should be easy The point P (x , y) lies on the parabola y = x ^2 Show that the distance from P to the line x-y-1 = 0 is 1/2 (times) root 2 (x^2 - x + 1) Sorry I'm noob

thats what i did but the answer is 2/ root 3 which is 2/3 x root 3

Find the value of a for which the area of triangle formed by the tangent and the coordinate axes will be minimum. Equation of tanget at P : y = a^2 - 2ax + 4 Tangent : P (a , 4-a^2) Thanks :D

Two sides of a rectangle lie along the x and y axes. The vertex opposite the origin is in the first quadrant and lies on 3x+2y = 6. What is the maximum area of the rectangle.

Well i did it the same way. It doesn't work out. You get x = 14.28... That's the exact same thing i did. The real answers are 27 by 9 by 18 (dimensions)

There is a steel rectangular prism, of dimensions 3x , x and h. The prism has volume of 4374m^3. Find the dimensions of the recyangular prism so that the minimum amount of steel is used. Topic : Applications of Max and Min Explain please. No skipping steps :vcross:

i have a 350 page book to read. Also, I personally hate reading books and cannot focus on them properly. Any suggestions on how to finish reading this book? I haven't even started :mad1: but i hope i finish it by the end of the holidays :burn: yes...i am a procrastinator

find the coefficient (3+x)(1-x)^15 find the term in x^4 (2-5x+x^2)(1+x)^11 find the term in x^9 :jaw: help please + full working out

ALSO Show that kxk!=(k+1)!-k!

the ans for my second question is: n(n-1)(n-2)...(n-k+1)x^n-k = (n!/(n-k)!) x^n-k explain please

if f(x) = x^n, find : (n) f (x) the n is like f'(x) Also (k) f (x) explain please:eek:

NEW QUESTION: without a calculator; prove that 5^6+5^5x3^3+5^3x3^5+3^6=2^5(2^12+1) all the plusses are not connect to the power. thanks.

i thought u have to plus the terms together

someone please edit and check its accuracy

Also find the coefficient of x^4 in the expansion of (3-x)(4+x)^5 find the coefficient of x^4 in the expansion of (1-y)^2(3-y)^7 Thankyou.

Find the coefficient of x^3 in the expansion of (3-x)(4+x)^5 Help please + full explanation and working out

Can people please lists the basic requirements that you need in Yr 10 standard tests. Thankyou it is much appreciated

Ok i got another annoying assignment and i can't really be bothered to do this since its PD. The thing your suppose to do is state issues that may impact on you for the next 5 years, and propose and explain strategies to overcome these issues. May someone please give me dot points, i'll expand...

Past sc papers and basic yr 9-10 questions.