Can someone help me with these questions:
1.A funnel has a circular top of diameter 20cm and a height of 30cm. When the depth of liquid in the funnel is 12 cm, the liquid is dripping from the funnel at a rate of 0.2 cm^3/s. At what rate is the depth of the liquid in the funnel decreasing at this instant?
2. The sum of the first twenty terms of an arithmetic progression is 50, and the sum of the next twenty terms is -50. Find the sum of the first eight terms.
3. Determine the coefficient of p^4q^7 in the expansion of (2p-q)(p+q)^10
Thanks!:D