i need help working this out i know the answers as they are for a study guide but i want to see another way to work it out please only solve if you will solve all of them will give thumbs up instantly if done so
7. A balloon is rising vertically above a levcl, straight road at a constant rate of 4 ft/sec (see figure bclow). Just when the balloon is 56 ft above the ground, a bicycle moving at a constant rate of 10 ft/sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 6 seconds later? Include correct units.
point 30 ft away from the light (see figure above). How fast is the shadow of the ball moving along the ground 0.5 seconds later? (Assume the ball falls a distance s = 16t2 in t sec.) Include correct units.
Light
Ball at time=0
1/2 sec later
50-ft pole
Shadow
0
30
x(1)
9. Sketch examples of cach, or state that no such example exists (and bricfly explain why)
(a) A function that is continuous on [4, 4] with an absolute maximum but no absolute minimum. (b) A function with domain [4, 4] with an absolute maximum but no absolute minimum. (c) A function that is continuous on (-4,4] with an absolute maximum but no absolute minimum.
d) A function that has domain [-2,2], is continuous on-2,2], has an absolute minimum at = -2, and has no absolute maximum.
c A function with domain [-4,4] that is unbounded but has an absolutc minimum.
(f) A function that has no absolute maximum and is continuous on [4, 4].
10. Determine whether or not the Extreme Value Theorem applics to the function below, and defend your answer. If the EVT does apply, then find the absolute maximum value and absolute minimun value of f on the given interval. If it does not apply, you just need to indicate why not.
f()= x(1 - x2)1/2, [1,0]
