# calculus

posted by .

Suppose x=4sin(theta, for theta (-pie/2, pie/2). Rewrite(sqrt16-x^2)^3/x^3

(Sorry Im not very good at making symbols. I hope you know what I mean here! if not I can try to rewrite it a different way)

• calculus -

malachi has three tvs of: 25",27",32".
what the average size of malachi tvs?

• calculus -

x = 4sinθ

sinθ = x/4
so, the other side is √(16-x^2)

√(16-x^2)/x = cotθ

[√(16-x^2)/x]^3 = cot^3(θ)

## Similar Questions

1. ### physics

The motion of a particle is described by x = 10 sin (piet +pie/2 ). At what time ( in second ) is the potential energy equal to the kinetic energy ?
2. ### Calculus

I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure …
3. ### math

if 0< theta < 90 and tan theta equals pie3/2, find cos theta.i put 2/pie 7 but i was wrong please correct.
4. ### math

if sin(theta)=1/4 and pie/2<theta<pie what is the value of cos(theta)
5. ### Calculus 2

Write in cartesian form: r=3tan(theta)sec(theta) im working with this function here, trying to get an rcos(theta) and/or rsin(theta) so far, i am stumped. what i have so far: r^2=3r(tan(theta)sec(theta)) (x^2+y^2)=?
6. ### Algebra II

Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)Which expression is equivalent to tan(theta)-(sec(theta))/(sin(theta))?