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If we set the price of a ticket to $20, we can sell 600 tickets. If we raise the price by x dollar, 4x less people will buy the ticket. What is the highest possible revenue that we can obtain.
Among all rectangular solids defined by the inequalities 0 ≤ x ≤ a, 0 ≤ y ≤ b, 0 ≤ z ≤ 1, find the one for which the outward flux of F = (-x2 - 4xy)i - 6yzj + 12zk outward through the six sides is greatest. What is this maximum flux?
Creating matlab code using these linear algebra concepts. 1500 points for help with any of these! Preferably all but I've posted this multiple times and it seems no one can help
Root test for convergence of geometric series and evaluate the interval of convergence of a power series.
Water is pumped into the tank at a rate of two cubic feet per minute. How fast is the level of water in the tank rising when it is one foot from the top of the tank?
Tom and Jim decided to play the following game for points. A single die is rolled. If it shows a non-prime number, Tom receives points equal to two times the number of dots showing
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
How much dinitrogen pentoxide will remain after 30 minutes? How long will it take until 0.01 M of dinitrogen pentoxide remains?
How many tennis rackets of each type should CSD manufacture over the next two weeks to maximize the total profit contribution? Assume that because of the unique nature of their products, CSD can sell as many rackets as they can produce.
Digital information can be represented through the use of Boolean algebra, which is an important concept to study if one wishes to understand how computers work.
On a road trip, five friends drove at 55 mile per hours to California. On the way home, they took the same route but drove 65 miles per hour. How many miles did they drive on the way to California if the round trip took 10 hours?
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
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