Homework Statement
Find the distance between the line x=3t-1, y=2-t, z=t and the point (2,0,-5)
Homework Equations
The Attempt at a Solution
So I'm assuming I need to use the formula D=[ax+by+cz+d]/root(a^2+b^2+c^2) and I'm guessing I need to use (3,-1,1), extracted from the...
Homework Statement
Find the exact value of the expression:
Homework Equations
sin[2arcsin(3/5)]
The Attempt at a Solution
I know you're supposed to use sin2x=2sinxcosx somehow but not sure how to start.
Homework Statement
Find the cartesian equation for the curve r=csctheta
The Attempt at a Solution
I understand how to get the answer, by changing it to r=1/sin, and then rsin=1, and then since y=rsin, then y=1.
What I'm not understanding is the relationship between y=1 an r=csc. I...
Ah OK. So it's more by inspection. I would factor as we have done, and then I'd choose for example -2, 0 and 2 and determine the sign giving me the interval values around 1 and -1, correct?
Homework Statement
Solve for t:
[-2(t2+1) / 9(t2-1)] < 0
The Attempt at a Solution
I know that the answer is -inf<t<-1 and 1<t<inf, but how do I show the calculation to get that answer? When I tried, I narrowed it down to t<root-1, but that's not possible (without complex...
Thanks Dick. I guess I'll get some big ugly fractions in my Row Echelon Form, correct? So far I've got numbers over 53 in the 1st row, over 65 in the 2nd row, and the 3rd row looks like it'll be a 4 digit denominator.
Homework Statement
Find coefficients a,b,c and d so that the curve of a circle in an xy plane, with points (-4,5), (-2,7) and (4,-3), is given by the equation ax2 + ay2 + bx + cy + d = 0.
Not even sure where to start. Can anyone help me with this?