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3 years ago

1) 7+a=15 2) 23=d+44 3) 28=n-14 4) T-22=-31

Mathematics

2 answers:

Romashka [77]3 years ago

6 0

Hi, I'd be glad to help.

1) a = 8

2) d = (-21)

3) n = 42

4) t = (-9)

Rom4ik [11]3 years ago

3 0

1.7+a=15
subtract 7
a=8
2. 23=d+44
subtract 44
-21=d
3. 28=n-14
add 14
n=42
4.T-22=-31
add 22
t= -9

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Split up the integration interval into 4 subintervals:

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We approximate the (signed) area under the curve over each subinterval by

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$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}$

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$M_i=f(m_i)(\ell_i-r_i)$

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We first interpolate the integrand over each subinterval by a quadratic polynomial $p_i(x)$ , where

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$S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))$

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Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

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