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denpristay [2]
3 years ago
10

Last week's and this week's low temperatures are shown in the table below.

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

the mean of this week’s temperatures

the mean of last week’s temperatures

the range of this week’s temperatures

Step-by-step explanation:

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Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi
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Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

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\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx

(a) For Trapezoidal Rule : Composite error is,

E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)

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|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)||

\leq \frac{4(-3-3)^3}{12n^2}

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According to the question, we must choose n such that,

\frac{72}{n^2}

\implies n>424.2640686

So we can take n=425.

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E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)

where, f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|

In this problem f^{(iv)}(x)=0, so that,

|E_S|\leq 0

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Step-by-step explanation:

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Step-by-step explanation:

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