Recent content by sdoyle

Homework Statement \int\frac{e^x}{(e^x-2)(e^2x +1)} it should be e to the power of 2x Homework Equations Using substitution u=e^x, and then using partial fractions The Attempt at a Solution I have done this problem two separate ways. One with substitution and then partial...

Homework Statement Solve the integral x/x^2+4x+13 Homework Equations I think that you would use partial fractions but I'm not really sure. I know that you need to complete the square on the denominator. The Attempt at a Solution The completed square would be (x+2)^2+9. I don't...

Homework Statement The question is asking for us to compute compab Homework Equations The Attempt at a Solution Is it another notation for projection?

How would you prove that mathematically?

that they are perpendicular?

they would be parallel because they are scalar multiples of one another (1 is the multiple) also the cross product would be zero indicating parallel vectors.

Homework Statement The line l passes through the point P=(1,-1,1) and has direction vector d=[2,3,-1]. Determine whether l and P are parallel, perpendicular, or neither to 2x+3y-z=1. Homework Equations n.p=n.x, cross product, dot product The Attempt at a Solution Would you just...

Homework Statement The line l passes through the point P=(1,-1,1) and has direction vector d=[2,3,-1]. Determine whether l and P are parallel, perpendicular, or neither to 2x+3y-z=1. Homework Equations n.x=n.p, also cross product for parallel lines, and dot product for perpendicular...

Homework Statement Let P and Q be points with corresponding vectors p and q. a) show that the vector 1/2p+1/2q is the midpoint of the line segment joining P and Q b)Find a point that is one third of the distance from P to Q Homework Equations No idea The Attempt at a Solution I'm not really...

right but u.(v+w)=u.v+u.w =0+0 = 0 In terms of the scalars any number multiplied by zero will yield zero

that the vector u is perpendicular to v+w?

but we know that u.(v+w)=0 . Wouldn't that imply that u.v+u.w=0?

right...

u.v=-u.w? Because of distributive laws?

I really don't know.. I'm sorry. I don't think that I have enough background knowledge, we've only had one lecture.