Exercise

Please do Q1-Q4 while waiting for my arrival, thank you so much for your consideration & cooperation =)Q1Sketch the graph of the following

(a)

(b)

(c)

Q2Evaluate

(a)

(b)

Q3Find where .

Q4Find where .

Q5Find the first derivative for the following

(a)

(b)

(c)

(d)

Rate of change

Q1Each edge of a variable cube is increasing at a rate of 3 cm per second. How fast is the volume of the cube increasing when the edge is 12 cm long?

Q2All edges of a cube are expanding at a rate of 1.5 cm per second. How fast is the surface area changing when each edge is 8 cm?

Q3Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose radius increases at a constant rate of 2 ft/sec. How fast is the area of the spill increasing when the radius of spill is 60 ft?

Q4A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min. At what rate must air be removed when the radius is 9 cm?

Q5A spherical balloon is being filled with a gas in such a way that when the radius is 20 cm, the radius is increasing at the rate of . How fast is the volume changing at this time?Q6A 13-cm ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2 cm/s, how fast will the foot be moving away from the wall when the top is 5 cm above the ground?_1445509524.unknown

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