Determine convergent series
Suppose that An >or = 0 for every n belonging to N and sum An is convergent series. Prove that sum a^2 n (a squared n) is also a convergent series.
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Suggest the piecewise constant interpolation of the function f(x)=sin(x), 0 <= x <= 381, at points x_i = ih, where h = 0.1. Thus, our interpolant satisfies v(x) = sin(ih), (i-0.5)h <= x < (i+0.5)h, for (i = 0, 1, ..., 3810).
Discuss how the Principle of Inclusion-Exclusion yield the Sum Principle?
A 120 I tank initally haves 90kg or salt dissolved in 90 I of water. Brine containing 2 kg/I of salt flows in the tank at the rate of 4 I/min and the well-stirred mixture flows out of the tank at 3 I/min. Determine an equation f
Determine the ratio of the fluxion of x to the fluxion of 1/x using Newton's "synthetic" method of fluxions.
Using the recursive definition of the Fibonacci sequence, find and prove a formula for the simple continued fraction representation of (Fk+1)/(Fk). Your formula should be correct for all natural numbers k.
Assume we are given the set A where set A = {1, 2, 3}. How many elements are contained in the Cartesian Product A X A? Give an example of a relation, selected from A x A, that satisfies the reflexive and anti-symmetric properties.
Could a 4x7 matrix have dim Col A=5 and dim Nul A=2? Justify your answer. Remember to think about the possible pivots in rows and columns.
Let the ralation R be stated on the set Z of all integers by a R b if and only if a^2-b^2 is multiple of 3. Find out whether R is an equivalence relation. Either prove that R is an equivalence relation or specifically demonstrate which properties
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Explain the risks of not reporting the results of your forensic assessment findings accurately. Provide specific examples.
Read "The Effect of Tart Cherry Juice Compared to a Sports Drink and Cycling Exercise Performance, Substrate Metabolism, and Recovery" from University Library
Identify and analyze one resource that provides information regarding services for dealing with and treating substance use and abuse in youth or adolescence.
Discuss how culture may influence one's perceptions. Provide an example of how culture may impact the interaction between a patient/client
Write an essay describing your achievement of a goal and your friends or family member's achievement of a goal using motivational theory
Pets can have a therapeutic effect on people; they seem to have the power to calm the anxious and cheer the depressed. Give three reasons
Review Chapter 12 and consider how your culture has impacted your worldview and personality. Pay particular attention to the section on characteristics of Cult