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Please also explain when we should use ordinary derivatives and when we should use partial derivatives.
Suppose you have a cookie stand, and when you charge $3 per cookie box you sell 200 boxes. But when you raise your price to $4 you only sell 120 boxes.
Find the point of intersection of the line containing the points (3; 2; 1) and (4; 3; 3), and the plane containing the points (5; 4; 2), (3; 1; 6) and (6; 5; 3)
Use dynamic programming to maximize the probability that the computer will work properly, given that $600 is available for spare units.
Find a self complementary graph with five vertices.Prove that if a self-complementary graph has n vertices,then n = 0 (mod 4) or n = 1(mod 4).
When solving an ODE, the simplest approach is to group together the x terms and the y terms so that we might integrate .
List some possible retirement balances if my friend is currently 50 yrs old. (hint: some folks retire at 60 and some at 62).
Find (or estimate) the number of births (instantaneous rate of change) in 2009 and use this value to estimate the population in 2010.
Construct the profit function and list the key points or roots of the function. What happens to profit as Mick increases his price?
Graph the balance on account against time and discuss or identify the effective yield of her security.
Justin hires you to come in and help him figure out a strategy. He does not want to lose business because of the impending price hike.
Two players take turns removing 1, 2, 3, or 4 objects from a set of 16 identical objects (without replacing them.)
Let ƒ:G? H be a group homomorphism with kernel K = Ker(ƒ) , show that f is one to one if and only if K = {eG}.
You are in your Physics lab and your professor has an experiment set up to help you learn about harmonic motion.
Assuming that Roger's speed is never increasing, give upper and lower estimates for the distance Roger Ran during the first half hour.
World annual natural gas consumption, N, in millions of metric tons of oil equivalent, is approximated by N= 1770 + 53t, where t is in years since 1990.
What was the present value, on January 1, 2003, of Harley-Davidson’s net revenue for the ten years from January 1, 2003 to January 1, 2013?
Average Cost. A company manufacturing snowboards has fixed cost of $200 per day and total cost of $3800 per day at a daily output of 20 boards .
Kernel and Homomorphism.If H is a subgroup of G, show that HN = NH. (Warning: this is an equation of sets; proceed accordingly;
Equation of the line passing through the summary points.Calculate distance from line through the outer summary points to the middle point.
Define a homeomorphism between topological spaces X and Y. Define what is meant by a topological invariant.
Assuming the cost of money is 3%, what is the value of this endowment in today's dollars? Show your work.
Let N(t) be the amount of nutrient (in grams) in the estuary at time t. Write down and solve and solve an appropriate differential equation.
A 32 pound weight stretches a spring 2 Feet. The mass is then released from an initial position of 1 foot below the equilibrium position.
The ceiling function maps every real number to the smallest integer greater than or equal to that number, f : x [x].