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Describe the kernel of the linear transformation T:P1to r defined by T(p)= definite integral from 0 to 1 p(x)dx where P1 is the set of continuous linear function on [0,1], and R is the set of real numbers.
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with object..
customer from Cavallaro's Fruit Stand picks a sample of 4 oranges at random from a crate containing 65 oranges, of which 5 are rotten. What is the probability that the sample contains 1 or more rotten oranges.
How can one prove that the 4 midpoints of the four sides of any quadrilateral form the vertices of a parallelogram using graph geometry (ie. x1, y1 etc. to denote the four vertices)?
The asterisk implies a conditional usually indicated by an arrow. The & sign indicates "and". In Aristotelian logic (X)(FX*GX) logically implies (EX)(FX & GX). Is this true in predicate logic? If not, why not?
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Formulate a linear programming model for the problem.
Give an example of a nonlinear system of two equations in two unknowns having: Based on your work, how would you devise a method for finding such a system having exactly n solutions?
Probability Theory Applied to House Sales. The probability that house sales will increase over the next six months is estimated at .25. It is also estimated that the probability is .74 that 30 year fixed-loan mortgage rates
A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery.
Use the Taylor Series for 1/(1-x) to find the Taylor Series of 1/(1+x) about x = 0 and its Interval of Convergence. Use the result of part (i) to find the Taylor Series of ln(1+x) about x = 0 and its Interval of Convergence.
Evaluate the length and width of the given rectangle using the area and the relation of length and width.
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