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1. Refer to the triangle. If a = 3 and b = 3.a. Find the exact length of c.b. Find the exact length of c in simplified radical form.c. Find c to the nearest hundredth.
Let f : [0,1]-->[0,1] be a continuous function. Show that there exists a real number x in [0,1] such that f(x)=x (apply the intermediate value theorem to the function f(x) -x).
How do you write a system of linear equations in two variables? Explain this in words and by using mathematical notation in an equation.
Find the median score
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
if f and g are differentiable function on [a,b], what identifies the extrema of f+g or fg. Do these extrema relate to the extrema of the functions?
Show that these topologies are the same and What is the resulting space and identify the familiar quotient space given by this relation and then show precisely that the quotient topology on this space is the same as the usual one.
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
Calculate the operating cost and probability values
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
A large ladder leans against a house with the base of the ladder 4.5 horizontal feet from the base of the house. If the ladder has a slope of 3.1 feet per foot, at what height does the top of the ladder meet the house? (Round your answer to two de..
Calculate the amount earned by a principal.
Determine whether or not the argument below is valid. Transcribe it into symbolic notation and if it is valid, provide a derivation of the conclusion from the premises using only primitive rules of inference.
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