Consider the equation, f(x) = x*. (a) Using the trapezoidal method with 3 columns, estimate the value of the integral f2 f(x)dx. (b) Using the trapezoidal method with 10 columns, estimate the value of the integral f2 f(x)dx. You many need software to help you do this (e.g. MATLAB, Excel, Google sheets). (c) Use software to accurately calculate the integral (e.g. Wolfram alpha, Matlab). Using this answer, comment on the answers you found in parts a) and b).

A garden has 60 yards of fencing and wants to enclose a rectangular garden that requires fencing only on three sides. Find the length and width of the plot that will maximize the area.

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

Find the first and second differences of equation f(x) = 10 – (4 – x)^2. Is it a quadratic function?

f(x) = −x^2 + 8x − 16. Consider the Parabola (a) Does the function point up or down?(b) What is the Axis of Symmetry?

The annual amount that we spend to attend sporting events can be 1 point modeled by f(x)%3D1.09+1.1ln(x), where x represents the number of years after 1984 and f(x) represents the total annual expenditures for admission to spectator sports, in billions of dollars. How much is spent on spectator sports in 2005? *