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Question 1- Find the area between f(x) = x2 - 4 and the x-axis over the interval [2, 3].
Question 2- Find the total area between f(x) = x2 - 4 and the x-axis over the interval [0, 3].
Question 3- Find the area enclosed by the curves f(x) = x and g(x) = 6 - x2.
Question 4- Given the demand curve p = 400 - q2, find the consumer surplus when 15 units are sold.
Question 5- The demand function for a good is D(q) = 35 - q2 and the supply function is S(q) = 3 + q2. Find the producer surplus when the market is at equilibrium.
The perimeter of a square is 68 meters. The side length can be represented as (8x - 3) meters. What is the value of x?
Determine the domain and the range of the function
a mountain is 15471 feet above sea level and a valley is 382 below sea level. What is the difference between the mountain and the valley.
A boat travels 72 miles upstream in the same time that it takes to travel 120 miles downstream. The speed of the boat in still water is 32 mph. Find the speed of the current.
Explain why the roots of the equation p(x) divided by g(x)=0 are the same as the zeros of the function p(x) if these are different from the zeros of q(x).
A machine produces widgets at a defective rate of 10%. A sample of 5 widgets is taken, What is the probability that less than 2 of them are defective?
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors
If the price is raised to $110 you predict that you can sell 25 of these premium toasters at your Scottsdale, Arizona location. Find the equation of the line and you can write your answer in the following form: p = mx + b.
Find the inverse Laplace transform: L^-1(3s + 1/s^(2) + 4)=?
List all points (x, y) at which the trajectory has a horizontal tangent line. List all points separated by commas. List all points (x, y) at which the trajectory has a vertical tangent line. List all points separated by commas.
Find the mass that remains after t years.
Work out what constraints in a maximum entropy problem will give rise to the true inverse Gaussian distribution.
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