Recent content by kelp

Homework Statement .75 = 1 - (1 - p)^n I want to get the n alone, and find n in terms of p. Homework Equations The Attempt at a Solution I simplified it to this: 1 - p = (.25)^(1/n) Basically, I just moved numbers around. I do not know how to get the n by itself without...

I squared the original expression and multiplied it by 2, then took the square root of it.

Hello, I am trying to find out how my teacher got the magnitude of this expression. This is the original expression: 1/(1 + jwRC) j is an imaginary number Then, he ends up with 1/(sqrt(1 + (wRC)^2)). I get something nasty like: sqrt(2/(1 + 2jwRC - wRC)) Thanks.

Thanks guys!

Hello, I am trying to simplify a fractional expression with four terms on the bottom, two of the terms are imaginary. How would I go about making the denominator real? The denominator is as follows: (1/jwC + R3 + jwL + R2) The j is the imaginary number. Everything else is a constant. I know...

Hello, I have solved for the critical points using the gradient, and I have solved for the Hession, which yields a 2x2 matrix. I have plugged in my critical points into the gradient. Now, do I apply the same rules as in linear algebra where I find the determinant and trace to calculate...

Homework Statement 4x^2 - xy + y^2 = 4 At what points is the tangent line to the above curve vector [1 1]T? (T means I transposed the vector) Homework Equations The Attempt at a Solution I have the gradient vector, but I'm conceptually lost about what to do after that.

Homework Statement lim (x,y) -> (0,0) for: (x^3 - y^3) / (x2 + y2) Homework Equations The Attempt at a Solution I am checking all the possible lines to check what the limit would be if it did exist: y = mx, plug this into the equation above (x^3 - (mx)^3) / (x^2 + (mx)^2)...

I opted to not use the template because this is a pretty general question. I am not understanding how to find out if a set is an open subset of a Euclidean space. For example, {(x,y) belongs R2 | x squared + y squared < 1} The textbook is talking about open balls, greatly confusing me.