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ZanzabumX [31]
4 years ago
12

Help me sovle part B plzzzzz

Mathematics
1 answer:
miskamm [114]4 years ago
6 0
Maybe try to round the percents to the nearest hundret to the answer
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A cosmetic company tested a new lotion. Of the 2,500 people tested, 15 had an allergic reaction. What percent of the people test
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Find an explicit solution of the given initial-value problem.dy/dx = ye^x^2, y(3) = 1.
tamaranim1 [39]

Answer:

y=exp(\int\limits^x_4 {e^{-t^{2} } } \, dt)

Step-by-step explanation:

This is a separable equation with an initial value i.e. y(3)=1.

Take y from right hand side and divide to left hand side ;Take dx from left hand side and multiply to right hand side:

\frac{dy}{y} =e^{-x^{2} }dx

Take t as a dummy variable, integrate both sides with respect to "t" and substituting x=t (e.g. dx=dt):

\int\limits^x_3 {\frac{1}{y} } \, \frac{dy}{dt} dt=\int\limits^x_3 {e^{-t^{2} } } dt

Integrate on both sides:

ln(y(t))\left \{ {{t=x} \atop {t=3}} \right. =\int\limits^x_3 {e^{-t^{2} } } \, dt

Use initial condition i.e. y(3) = 1:

ln(y(x))-(ln1)=\int\limits^x_3 {e^{-t^{2} } } \, dt\\ln(y(x))=\int\limits^x_3 {e^{-t^{2} } } \, dt\\

Taking exponents on both sides to remove "ln":

y=exp (\int\limits^x_3 {e^{-t^{2} } } \, dt)

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In Exercises 29 and 30, describe the possible echelon forms of the standard matrix for a linear transformation T . Use the notat
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Answer:

<u>note:</u>

<u><em>solution is attached in word form due to error in mathematical equation. furthermore i also attach Screenshot of solution in word due to different version of MS Office please find the attachment</em></u>

Download docx
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