 Lv 2520 points

# Jack P

Questions40
• ### Basic Algebra?

How do i go from

((n^2)/ (n^2 -1)) ^ (n+1) to

(1 + (1 / (n^2-1))) ^ (n+1)

Are there any tricks?

• ### Find the exact solution for the cubic equation?

y^3 -3iy +2 = 0

I believe there is trick using w. Any tips

• ### Find in a + bi form?

(5-7i)^.5

Any tricks to this I tried Demoivre theorem but it gets too messy.

• ### Find a z-parametric equation for the segment with 0 ≤ t ≤ 1 .?

1 , i

z= 1 + (i-1) t

Any idea how to solve this?

• ### What is Im(z)?

z= x +iy

I know that Re(z) = x

Im(z) =y or Im(z) = iy ?

How do rewrite Im(z)?

Thx

• ### Polynomial Division?

Is there anyway to solve this without long division? Any shortcuts?

• ### Polynomial Division?

(w^5 - z^5) / (w-z)

Is there anyway to solve this without long division? Any shortcuts?

• ### How do i solve this algebraically?

- 2^(1-x) + 2^(-x) =-2^(-x)

How do i know this is true? Are there any tricks?

• ### Evaluate this power?

1) 2^i

2) i^ -i

3) (-1 + sqrt(3) i) ^ i

Im not sure what formula to use. Can i take the natural log to solve them.

Any help would be greatly appreciated.

• ### Solve for z, e ^ (iz) = -1?

r = sqrt ( (-1)^2 ) =1

theta = arctan (y/x) + pi sgn (y) = 0

I get z = 2(k)(pi), k is an integer.

I keep getting a wrong answer. Can anyone help

• ### Prove that -(a +b) = -a - b?

I know that it seems obvious but i need to show that

-(a+b) = (-1)(a+b)

I am not allowed to distribute the negative sign, I need to find an alternative way. I can however distribute (-1)

• ### A general question on Continuous functions and derivatives?

A function, f, has a derivative, f', in all of the domain. Is the derivative, f', a continuous function?

Any ideas? I know that if a function is differentiable everywhere if it is continuous. Im not too sure about the derivative.

• ### A general question on integrals and derivatives?

Is the following always true:

d/dx (∫ f(x) dx) = f(x).

I cant think of a case that this doesn't hold.

• ### Continuous functions and derivatives?

A function has a derivative in all of the domain. Is the derivative a continuous function?

• ### I need a little help with this proof?

Prove that f(x) = x^3 is an entire function

Prove that g(x) - abs(x)^2 is not analytic in any domain of the complex plane

Any help would be greatly appreciated

• ### Cauchy's integral theorem example help!!?

integral (cos z dz)/(z-π)^2 where circle is positively oriented centered z=3, radius r=1.

i think cauchy's integral theorem was used. but i cannot understand the result. how do i get there? should i use this theorem? thanks

• ### Use Fermat's theorems to prove the following formulas?

Fermat's Theorem If p is a prime, a is a natural number, then p / (a^p - p)

I) p / (1+2+3+...+(p-1)

II) p / (1^p+2^p+3^p...+(p-1)^p)

III) p/ (1^(p-1)+2^(p-1)+3^(p-1)...+(p-1)^(p-1) +1)

Can someone help me out?

• ### How can I rewrite this expression without using the absolute value symbol.?

Let f(x) = x / IxI if x ≠ 0

Let f(x) = 0 if x = 0

a) rewrite this expression without using the absolute value symbol.

b) Show that f may be also be expressed as

f(x) = lim n→∞ (2/π) arctan(nx) ; -∞<x<∞

Im not sure how to start it. any help would be greatly appreciated