1. Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point A on the circle that represents the
outer track to the center of all the circles, K.

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Suppose that f(0) = −3 and f '(x) ≤ 8 for all values of x. how large can f(4) possibly be? solution we are given that f is differentiable (and therefore continuous) everywhere. in particular, we can apply the mean value theorem on the interval [0, 4] . there exists a number c such that

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?