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Mathematics, 14.05.2021 08:00 brooklynunderwood46
HELP PLEASE
What additional piece of information must be known in order to calculate the volume of the cylinder below?
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base
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Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference รฎล(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference รฎล(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference รฎล(x - x)2 by more than data sets (ii) and (iii). none of the above
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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x โ 1 2x3 + 3x2 โ 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 โ 2x = x(2x2 + 3x โ 2) = x(2x โ 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formโ 8x2 + 9x โ 1 x(2x โ 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x โ 1)(x + 2), obtaining 8x2 + 9x โ 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x โ 1).
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