9 antiderivatives 5 a car braked with a constant

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Unformatted text preview: ivative of 3. Find the value of f(0) when 2 Hung Nguyen Problem Set 14 Solution GE 207C 4.9 Antiderivatives 5. A car braked with a constant deceleration of 16 7. The linear density of a rod of length 1 m is given 2 ft/s , producing skid marks measuring 200 ft. before 1 by ρ (x ) = grams per centimeter, where x is coming to a stop. How fast was the car traveling x when the brakes were first applied? measured in centimeters from one end of the Solution: dm rod. Find the mass of the rod. (Hint: ρ (x ) = dx where m(x ) represents mass of rod up to length x from o ne end). Solution: 6. A particle is moving as described by the given data. Find the function describing position of the particle, v := velocity a := acceleration 8. Find a function f such that f ' (x ) = x 3 and the line x + y = 0 is tangent to the graph of f . a. v(t ) = sin (t ) − cos(t ), s(0) = 0 Solution: Solution: b. a(t ) = t − 2, s(0) = 1, v(0) = 3 Solution: 3...
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