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...
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...
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?