Unformatted text preview: 0.86 1/2 'if/2 1 3. Consider the following curve: r(t) = t 2 i + sin t3 + costk. (a) Find the tangent vector to the curve at time t, T(t) . (b) Write a vector equation for the plane that is perpendicular to the curve at t = 'if/4. (c) Find the length of the part of the curve that lies inside the sphere x2 + y2 + z2 = 17. Express your answer in the form of an integral. Hint: start by finding the points of intersection ,between the curve and the sphere. 4. Find the length of the loop of the curve x = 3t t 3 , Y = 3t2. 1...
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This note was uploaded on 02/09/2010 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas.
 Fall '07
 Sadler
 Calculus, Multivariable Calculus

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