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f(x)=2x^3-2x^2+1x-4
Find the average slope of this function on the interval (-20). By the Mean Value Theorem, we know there exists a c in the open interval (-20) such that f(c) is equal to this mean slope. Find the value of c in the interval which works.
Prove that a graph G is a forest if and only if every induced subgraph of G contains a vertex of degree at most 1.
Determine the maximum yield function from the given data - How many trees should a farmer plant on each square Kilometer to maximize yield?
Write computer code to determine the steady state temperature at the five co-ordinates in the rectangular region: (a/4,b/4), (3a/4,b/4), (a/4,3b/4), (3a/4,3b/4), (a/2,b/2) using the first 100 terms of the series solution (n = 1 to 100).
Discrete random variable with probability mass function, 1) Let X be a discrete random variable with probability mass function Pr{X=k}= c/(1+(k^2)) for k= -2,-1, 0, 1, 2.
The combined degrees of freedom
Complete the given ordered pairs so that each ordered pair satisfies the given equation. Determine the equation of each line. Write the answer in standard form using only integers as the coefficients.
List the elements in A U B U C. (they are suppossed to be upside down U"s ) State A U (B U C). (the U in between the b, c is the wrong way).
a statistics teacher plans classes so carefully that the lengths of her classes are uniformly distributed between 45.0 and 55.0 minutes. Find the probability that a given class period runs less than 50.75 minutes.
Find the derivative of the function by using quotient rule.
Let X be a subset of R, let E be a subset of X, let x_0 be an adherent point of E, and let f: X-->R, g: X-->R, h: X-->R be functions such that f(x)
A box with a square base and open top must have a volume of 500000 cm3. Find the dimensions of the box that minimize the amount of material used.
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
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