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Find the generating function for the number of r-combinations of {3.a, 5.b, 2.c}
Ans: Terms sequence is given as r-combinations of {3.a, 5.b, 2.c}. This can be written or illustrated as rC3.a, rC5.b, rC2.c. Now generating function for this finite sequence is given by
f(x) = rC3.a + rC5.bx + rC2.cx2
Determine or find out if the following series is convergent or divergent. Solution In this example the function we'll use is, f (x) = 1 / (x ln x) This function is
We want to find the integral of a function at an arbitrary location x from the origin. Thus, where I(x=0) is the value of the integral for all times less than 0. (Essenti
Year 1 2 3 4 5 6 7 8 9 10 Corn revenue 40 44 46
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Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:
The volume of grains in a silo at a particular time (measured in hours) is given by V (t) = 4t(3-t) m3. Find the rate of change of the volume of grains in the silo from first princ
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A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the
(a+b+c)2=
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