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Unformatted text preview: to compute dy dx for y = p 3 x & 5 : (b) (3 points) Find the equation of the tangent line to y = p 3 x & 5 at (2 ; 1) (see sections 2.7 and 3.1) 4. Find the derivatives of the following functions. Do not simplify. (a) (3 points) f ( x ) = (2 x & 3) ( x 2 +5 x & 2 ) x (see section 3.2, 3.4 and 3.5) (b) (3 points) g ( x ) = x 3 tan (sin (5 x 2 )) (see sections 3.2, 3.4 and 3.5) 2 5. At time t; the position of a body moving along the s & axis is given by s = t 3 & 6 t 2 + 9 t (in meters and seconds). (a) (2 points) Find the body&s acceleration each time the velocity is : (b) (2 points) Find the body&s speed each time the acceleration is : (c) (2 points) Find the total distance traveled by the body from time t = 0 seconds to t = 2 seconds. (see section 3.3) 3...
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 Spring '09
 Nouh
 Calculus

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