Water flows at a steady rate from a tap. It takes 40 seconds to fill a 4 litre watering can from the tap. The rate at which water flows from the tap is halved. (i) complete 4 litres = cm^3 / (ii) Find the rate at which the water is now flowing from tap. Give your answer in cubic centimetres per second (cm^3/s)

i) 4000 cm^3

ii) 50 cm^3/s

Step-by-step explanation:

i) 1 litre is equal to 1000 cm^3, so four litres are equal to 4000 cm^3.

ii) Previous rate: 40 seconds for 4 litres, 10 seconds for 1 litre, 10 seconds per 1000 cm^3.

New rate: 20 seconds per 1000 cm^3, or simplified to 50 cm^3/s

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

51840000 cm 2

step-by-step explanation: