Recent content by montana111

So i got some points on that line. I used (2,2) and (0,1). Then i drew the plot. then i multiplied A by (2, 2). Multiplying A by (2, 2) seems incorrect. Here is what it looks like anyways... A = [ <1; -1> , <-1; 2> ] [<2; 2>] = [ <2; -2> , <-2; 2> ] (where <stuff> is meant to be...

1) what do you mean by raising the point (x,y)^T ? 2) I still don't understand what I am supposed to do with regards to the equation and the matrix A. It sounds like maybe i find a point on the line in the equation (lets say (29, 8) which prob isn't on the line but just for example) and...

Homework Statement Consider in R^2 the points satisfying the equation 2x_2 − x_1 − 2 = 0. Show on a plot the points satisfying this equation. How are these points transformed by the matrix A = [ 1 −1 −1 2 ] Hint: To draw the plot, use the fact that two points determine a line...

Homework Statement find the point in this plane where it intersects the z axis (x=y=0). P = {<x;y;z;> = <1;-1;0;> + a<1;-2;0;> + b<2;0;-1;> , for all a,b} (by <l;m;n;> i mean to denote a column) Homework Equations The Attempt at a Solution I talked to my TA last friday and...

Homework Statement evaluate the integral using the indicated trig substitution. sketch the corresponding right triangle. integral of(1/(x^2 sqrt(x^2 - 9)) Homework Equations integral of(1/(x^2 sqrt(x^2 - 9)) The Attempt at a Solution at first glance this seemed really easy...

Homework Statement help me out. I want to find the integral of 1/(cosx-1). I first multiplied the function by cosx+1/cosx+1. then i ended up with the integral of (cosx+1)/(-sinx)^2 leading to integral of cosx/(-sinx)^2 plus integral of 1/(-sinx)^2. the integral of 1/(-sinx)^2 i believe...

wow. I am dumb. thank you. p.s. where on the site can i see how to make tags for actual mathmatical symbols like you have in your reply?

Homework Statement This is an example problem from my stewart calculus book. the whole problem is "solve this diff eq: y' + 3(x^2)y = 6x^2 next step is to find I(x) which is e^(x^3) and multiply everything by that then you say (I(x)y)' = 6(x^2)(e^(x^3)) and then you integrate both sides so...

Homework Statement I am working on developing the graph for the following function: h(x)= (x+1)^5 -5x -2. i have h'(x) = 5(x+1)^4 -5 and h''(x) = 20(x+1)^3 i get stuck when trying set h'(x) = 0. i know that there are four roots because i graphed it on my calculator but using...

Homework Statement find f''(x) if f(x) = sqrt(x) * e^(-x) and then find the roots of f''(x) // I am trying to do the 2nd derivative test (need f''x) and then find inflection points// Homework Equations my methodology| d/dx sqrt(x) = 1/(2*sqrt(x)) and d/dx e^(-x) = -e^(-x)...

Homework Statement prove the identity: arcsin( x-1/x+1 ) = 2 * arctan( sqrt(x) ) - pi/2 Homework Equations if f'x = g'x for all x in an interval (a,b) then f - g is constant on (a,b); that is, fx = gx + c where c is constant. this material above is in the same section as rolles...

Homework Statement the book says "find the infinite limit", but it says "lim as x --> 1 of 2-x/(x-1)^2 I don't understand this or how to find the answer. if it was an infinite limit, shouldn't it say as x approaches infinity? The back of my text says the answer is infinity but i don't know...