WS2 - Antiderivatives and Areas Solutions Math 125 In this worksheet we explore the Fundamental Theorem of Calculus and applications of the Area Problem

# WS2 - Antiderivatives and Areas Solutions Math 125 In this...

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Antiderivatives and Areas - Solutions Math 125 In this worksheet, we explore the Fundamental Theorem of Calculus and applications of the Area Problem to problems involving distance and velocity. FTC Practice 1 Let f ( x ) be given by the graph to the right and define A ( x ) = integraldisplay x 0 f ( t ) dt . Compute the following. A (1) = 2 A (2) = 4 A (3) = 6 1 2 A (4) = 9 A (1) = 2 A (2) = 2 A (3) = 3 A (4) = 2 The maximum value of A ( x ) on the interval [0 , 5] is 10 1 2 The maximum value of A ( x ) on the interval [0 , 5] is 3 1 2 3 2 1 3 4 5 y=f(x) Velocity and Distance2A toy car is travelling on a straight track. Its velocityv(t), in m/sec, be given by the graph to the right. Defines(t)to be the position of the car in meters. Choose coordinatesso thats(0) = 0. Compute the following.123
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