Ask a New Question
Search
Show that the curve with parametric equations x=tcost, y=tsint, z=t lies on the cone z^2=x^2+y^2
1 answer
x^2 = t^2 cos^2
y^2 = t^2 sin^2
x^2 + y^2 = t^2(cos^2+sin^2) = t^2
but t^2 = z^2
so
x^2+y^2 = z^2
Ask a New Question
or
answer this question
.
Similar Questions
find an equation to the curve at the point corresponding to the given value of the parameter.
x = tcost y = tsint when t = π i
1 answer
find the curvature of vector function r(t)= <t^2,sint-tcost,cost+tsint>
5 answers
Consider the parametric equations below. x = t2 − 3, y = t + 1, −3 ≤ t ≤ 3 (a) Sketch the curve by using the parametric
1 answer
A curve is defined by the parametric equations: x = t2 – t and y = t3 – 3t
Find the coordinates of the point(s) on the curve
1 answer
more similar questions