Emeli Hagan
2021-02-18
Answered

Approximate y(1,2), with h = 0.1 given that $x{y}^{\prime}=y-2{x}^{2},y\left(1\right)=2$ , by RK-4 using 5-digits rounding.

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asked 2022-04-15

Air flows into a compressor in a jet engine at 0.03 m3/s and 247 kPa. During the process the temperature of the air increases from -35 °C to 444 °C. Determine the power input required in kW to 2 decimal places. Take the gas constant R=0.287 (kPam3)/(kgK) and the specific heat at constant pressure of the air to be 1.018 kJ/(kgK).of air to be 1.009 kJ/(kgK).

asked 2021-02-03

Express the following propositions in symbolic form, and identify the principal connective:

i.Either Karen is studying computing and Ketsi is not studying mathematics, or Ketsi is studying mathematics.

ii.It is not the case case that if it is sunny then i will carry an umbrella.

i.Either Karen is studying computing and Ketsi is not studying mathematics, or Ketsi is studying mathematics.

ii.It is not the case case that if it is sunny then i will carry an umbrella.

asked 2022-06-16

Suppose I have two systems of equations $\mathbf{A}\mathbf{x}$ and $\mathbf{C}\mathbf{y}\mathbf{=}\mathbf{d}$ each with unique solutions. What are the necessary and/or sufficient conditions for the solutions to be identical ?

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Find the curvature K of the curve at the point $r(t)={e}^{t}\mathrm{cos}t\cdot i+{e}^{t}\mathrm{sin}t\cdot j+{e}^{t}k,P(1,0,1)$

asked 2022-09-07

Prove that the height of a 2-3 tree is between ${\mathrm{log}}_{3}N$ and $\mathrm{lg}N$

asked 2021-08-16

Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands of green tea.

$\overline{)\begin{array}{}\text{Brand}& \text{Observations}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}\\ 1& 7.9& 6.2& 6.6& 8.6& 8.9& 10.1& 9.6\\ 2& 5.7& 7.5& 9.8& 6.1& 8.4& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}\\ 3& 6.8& 7.5& 5.0& 7.4& 5.3& 6.1& \phantom{\rule{0ex}{0ex}}\\ 4& 6.4& 7.1& 7.9& 4.5& 5.0& 4.0& \phantom{\rule{0ex}{0ex}}\end{array}}$

(Data is based on “Folacin Content of Tea,” J. Amer. Dietetic Assoc., 1983: 627–632.) Does this data suggest that true average folacin content is the same for all brands? a. Carry out a test using α=.05α=.05 via the P-value method. b. Assess the plausibility of any assumptions required for your analysis in part (a). c. Perform a multiple comparisons analysis to identify significant differences among brands.

asked 2021-10-05

The following definition is discussed in advanced mathematics courses.

Evaluate