Recent content by amiv4

and then I would do the arctan of those two things to get the angle, but I don't see how they are going to simplify. Cuz I have to use this answer. Is there a way I could get the answer into a form similar to this H(F)=|5F| exp(-jpiF/10)

k this is what i got 5\angle0/1.18\angle32.14 but idk where the F goes

So I should convert the top and bottom to polar separately and then divide them?

Homework Statement H(F) = 5/(1+j2piF/10) Rewrite in polar form, that is, in terms of magnitude and phase. Homework Equations The Attempt at a Solution phase is the 2piF/10 but I'm not sure how I account for it being on the bottom of the fraction

Well 2^k * 2 > 2^k > k. And I am guessing you are talking about k+1 and idk what i want that to be greater than. It is greater than k but idk how that helps

Homework Statement Prove that for all the natural numbers n that 2^n > n Homework Equations The Attempt at a Solution Base Case is easy Then the inductive step you have 2^k > k as the inductive hypothesis show that p[k+1] holds 2^(k+1) > k+1 on the left side 2^(k+1) = 2^k * 2...

it is bascially the set of square numbers

so would it be like 4 mapped to 16 is an injection but if you go the other way 16 doesn't map back to 4 and that is why it isn't a surjection

would it be that like 0 maps to 0, 1 to 1, 2 to 4, 3 to 9... so that shows injection but then like 5 doesn't map back to anything

to prove the injection i thought u could do something like this f(x) = f(y) for arbitrary x and y in N, then x^2 = y^2 and so x = y. and that proves an injection

Homework Statement Prove that Square = {x ∈ N|∃y : N. x = y^2} is an infinite set. Homework Equations Definition 0.1. A set A is infinite if there is an injection f : A → A that is not also a surjection. The Attempt at a Solution I get how to show that there is an injection...

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Homework Statement analytically derive the transient expressions for the following 1. the output voltage volt for t > 0 2. the power absorbed by each resistor and capacitor Homework Equations The Attempt at a Solution I'm not sure where to start. Don't i need to know what...

Homework Statement A very long, solid cylinder with radius R has positive charge uniformly distributed throughout it, with charge per unit volume \rho Derive the expression for the electric field inside the volume at a distance r from the axis of the cylinder in terms of the charge...

W=nC_v(T_1-T_2) that is the same thing i was using