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solve the following (a) A weather balloon is rising vertically (in a perfectly straight line!); a camera on the ground 100 meters from the point

solve the following

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(a) A weather balloon is rising vertically (in a perfectly straight line!); a camera on the ground 100 meters from the point at which the balloon was released is tracking the ascent. At what rate is the distance between the camera and the balloon changing when the balloon is 75 meters high? given that the balloon is rising at 4 meters per second at that time. (b) A website features a rectangular display with the dimensions of the rectangle changing continuously. At what rate is the height of the rectangle changing when it (the height) is 3 cm and the diagonal of the rectangle is 5 cm? given that the area of the rectangle is increasing at 3/4 cm2 per second and the diagonal of the rectangle is increasing at 1/3 cm per second. Begin by setting up the problem, stating clearly what each of your variables denotes; give me the appropriate derivative as a function of the other quantities and derivatives before making any substitutions; come back out at the end to answer the question asked, using a clear, complete statement that includes the word 'increasing' or 'decreasing'. 8 points

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