Sunday

February 1, 2015

February 1, 2015

Posted by **abby** on Friday, April 16, 2010 at 6:43pm.

(Round your answers to three decimal places. Enter your answers from smallest to largest z-value.)

- Calculus -
**MathMate**, Friday, April 16, 2010 at 7:31pmThe sphere, S, is given by:

S(x,y,z): x²+y²+z²-26=0

The helix, r, is given by:

r(x,y,z): sin(t),cos(t),t

which means that the helix is constrained to the cylinder of unit radius, C: C(x,y): x²+y²=1

Thus, the solution for the intersections is given by the solution of

S(sin(t), cos(t), t)=0

from which it can be deduced by inspection that t=5 gives an exact solution, since

(sin²(5)+cos²(5)) + 5²

=(1) + 25

=26

Similarly, t=-5 is a solution.

**Answer this Question**

**Related Questions**

calculus - At what points does the helix r = sin(t), cos(t), t intersect the ...

calculus - Solve the given equation. (Enter your answers as a comma-separated ...

Calculus - Find the points of inflection of the curve below. Round the answers ...

Calc 3 - The DNA molecule has the shape of a double helix. The radius of each ...

Calculus (Arc Length) - Consider the helix parametrized with the vector equation...

precalculus - Use a Double- or Half-Angle Formula to solve the equation in the ...

Trigonometry desperate help, clueless girl here - 2. solve cos 2x-3sin x cos 2x...

calculus - Find the points on the curve y= (cos x)/(2 + sin x) at which the ...

Calculus - (a) Find the Riemann sum for f(x) = 7 sin x, 0 ≤ x ≤ 3&#...

pre calc - A graph of y = cos(1/2 x) - sin( x) for -4ð x 4ð is shown in the ...