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Please help me with the following calculus problem:
1. A homeowner wants to enclose a 5,800 square feet rectangular garden by a fence in his backyard. If three sides of the fence cost $6.25 per foot and 4th side costs $10.25 per foot, find the dimensions that will minimize the cost of building the fence and the minimum cost of its construction.
2. Find the absolute extreme values of f(x) = x^4 + 8x^3 - 32x^2 on interval [-1, 5]
How many ways are there to deal hands of seven cards to each of five players from a standard deck of 52 cards? A bagel show has onion, poppy seed, egg, salty, pumpernickel, sesame seed, raisin, and plain bagels. How many ways are there to choose:
In a carnival game the players selects two coins from a bag containing two silver dollars and six slugs
What's the difference between scalar multiplication and matrix multiplication? What would be an example of the two? Indicate whether the matrix is in row-reduced form.
Compute the time and cost
Determine value of money after time 't' by compound interest method - How much money will be in the account in 10 years?
What proportion of time does Dr. Smith eat a home lunch? d. If Taco Bell costs $3 and a home lunch costs $1 and the Springdale room is free, then how much lunch budget should he allow for his semester, which includes 100 lunches?
Evaluate the maximum height of the firework from the given function - Evaluate the maximum height of the firework.
What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
what is the probability that each challenge will be won by a different camper? what is the Probability that Hank, one of the Seniors, will win at least one challenge?
Find Probability Of M Ms In A Jar. A jar contains 15 M&Ms: 4 red, 5 green, and 6 yellow. Two candies are picked from the jar (no replacement).
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
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