Answer:
S'(x)=-0.006x2+0.8x+9
Step-by-step explanation:
The rate of change of the sales S(x) with respect to the amount of money spent on advertising x is then the derivative of S(x) with respect to x. What we have to calculate is S'(x).
We know that the derivative of is (where a is a constant), and the derivative of a sum is the sum of the derivatives, so we can calculate the derivative of each term independently:
S'(x)=(−0.002x3 + 0.4x2 + 9x + 500)'=(−0.002)(3)x2 + (0.4)(2)x + 9
Which means:
S'(x)=-0.006x2+0.8x+9
Answer:
(Square root of 11)/(square root of 11)
So, the smallest candle has a radius r = 0.5 and a height of h = 3.
now, the other two candles in the set, are scaled of 2(twice as large) and of 3(thrice as large).
therefore, the candle scaled at 2 has a radius of 2*0.5 or 1, and a height of 2*3 or 6.
and the last candle in the set scaled t 3 has a radius of 3*0.5 or 1.5, and a height of 3*3, or 9
When surface area is minimized, that means the less material companies would have to use for the can. Companies can spend less money on aluminum for the can and still hold the same amount of that beverage inside the can.