Recent content by cue928

I am being asked to calculate level curves for the following equation: f(x,y)=e^-(2x^2+2y^2) but I do not know where to start. Any advice on first steps would be greatly appreciated.

We are being asked to find the eq's for normal, osculating, and rectifying planes for the following equation: r(t) (cos t)i + (sin t)j - k @ t=pi/4 I have already found the following: T(pi/4) = (-√2/2)i + (√2/2)j = 0k N(pi/4) = (-√2/2)i + (-√2/2)j + 0k B = 0i + 0j + k But, I don't...

For the following position vector I am being asked to find the acceleration at t=1: r(t) = (t^5)i + 8ln(1/(6+t))j + (9/t)k I had the following for the velocity vector: v(t) = (5t^4)i + (-8/(6+t))j - (9/t^2)k For the acceleration vector I had: a(t) = (20t^3)i + (8/(t+6)^2)j + (18/t^3)k...

Understood but unfortunately I can't use the graph to show it. They want us to use the definition of set equality and range of a function to do it. I understand that for two sets to be equal, A must be a subset of B and B must be a subset of A. For range of a function f from A to be, y is an...

I am being asked to prove the following: f: Z --> Z by f(n) = |2n-1| is not one to one and g:{n element of Z|n>=10} --> Z with g(n) = |2n-1| is one to one. Can anyone help me get started on this? The example done in class involved substituting in and finding out if the values were equal...

Let F: [-2,5] --> R be function with rule F(x) = x^2 - 1. Show range of F = [-1,24]. I get that 5^2 = 25 - 1 = 24, but how does one get the lower bound of the range to be -1?

For the density function for random variable Y: f(y) = cy^2 for 0<= y <= 2; 0 elsewhere We are asked to find the value of c. I did a definite integral from 0 to 2 of cy^2. I get c = 3/8. Why would the book show an answer of c = 1/8? Is this an error on their part or am I missing something...

That's what I can't figure out. Is p(2) asking what the chance of the second draw being defective?

I am stuck on the following problem: Five items are to be sampled from a large lot of samples. The inspector doesn't know that three of the five sampled items are defective. They will be tested in randomly selected order until a defective item is found, at which point the entire lot is...

Have a problem that I've worked through, would appreciate any feedback on it to tell if I'm doing it correctly: Say the probability of success is .95. Two different actors, acting independently: 1. Probability that both actors are successful: I had P(A intersect B) = P(A) * P(B) =...

Another clarifying question: if you have a probability of success of .95 and two different actors acting independently: 1) Probability that both are successful? I assumed this was P(A intersect B) but did not know how to solve it? 2) Probability that neither are successful? I did 1-.9025 =...

So in our boo it shows the multiplicative rule for independent events as P(A intersect B) = P(A) * P(B), so is it .24 *.14 = .035?

That's what I thought but it can't be that simple. It's in the section on probability rules for unions and intersections.

If I know the probability of a lake being polluted is .14 and the probability of it being naturally polluted is .25, how do I find the probability that it is naturally polluted? I have played with this for a long time and still have no idea how to calculate it. In fact, I'm not even sure where...

Homework Statement So I have a triangle with points: A (4,2,0), B (3,3,0), and C (1,1,3). We are to find the point at which the three medians intersect in i,j,k format. I've found the midpoints of each side but I don't know where to go from there.