Unformatted text preview: c. 1 / tan 4 (2x) 5. ±ind the equation of the tangent line. a. f(x) = cos(x) at x = π /3 b. 25 = (x – 2) 2 + (y + 1) 2 at (6, 2) 6. ±ind the rate of change of the area of a square with respect the length z of a diagonal. What is the rate when z = 4? 7. A spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 18cm to 10cm in 20 minutes. How fast is the volume of the snowball changing when the radius is 15cm? 8. Calculate the Taylor Polynomial P 4 (x) to f(x) = sin(x) centered at x = π /2 and use this to approximate sin(1.5) 9. Determine where f(x) = cos 2 (x) is increasing/decreasing on [0, 2 π ]. ±ind and classify the local extrema....
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 Spring '11
 Veroni
 Music, Calculus, Derivative, 10cm, 15cm, 18cm, Taylor polynomial p4

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