Questions from General Calculus

Q: Find the first and second derivatives of the function. f

Find the first and second derivatives of the function. f(x) = 0.001 x5 – 0.02 x3

Q: Find the absolute maximum and absolute minimum values of f on the

Find the absolute maximum and absolute minimum values of f on the given interval. f (x) = 5 + 54x - 2x3, [0, 4]

Q: Find the first and second derivatives of the function. Check to

Find the first and second derivatives of the function. Check to see that your answers are reasonable by comparing the graphs of f, f ‘, and f ‘’. f(x) = 2x – 5x3/4

Q: Differentiate the function. f(x) = 5.

Differentiate the function. f(x) = 5.2x + 2.3

Q: Find dy/dx by implicit differentiation. x sin y

Find dy/dx by implicit differentiation. x sin y + y sin x = 1

Q: Find the first and second derivatives of the function. Check to

Find the first and second derivatives of the function. Check to see that your answers are reasonable by comparing the graphs of f, f ‘, and f ‘’. f(x) = ex – x3

Q: A bacteria culture grows with constant relative growth rate. The bacteria

A bacteria culture grows with constant relative growth rate. The bacteria count was 400 after 2 hours and 25,600 after 6 hours. (a) What is the relative growth rate? Express your answer as a percentag...

Q: The table gives estimates of the world population, in millions,

The table gives estimates of the world population, in millions, from 1750 to 2000. (a) Use the exponential model and the population figures for 1750 and 1800 to predict the world population in 1900...

Q: The table gives the population of Indonesia, in millions, for

The table gives the population of Indonesia, in millions, for the second half of the 20th century. (a) Assuming the population grows at a rate proportional to its size, use the census figures for 19...

Q: Experiments show that if the chemical reaction N2O5 ( 2NO2 +

Experiments show that if the chemical reaction N2O5 ( 2NO2 + ½ O2 takes place at 458C, the rate of reaction of dinitrogen pentoxide is proportional to its concentration as follows: d[N2O5] / dt = 0.0...