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Kobotan [32]
3 years ago
11

Can someone help me answer this question please

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0
9,6^2+18,8^2=X^2
92,16+353,44=X^2
X^2=445,6
X=21
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A new clothing store is offering 30 free points to customers who sign up for their rewards card. Then for each shirt a customer
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bezimeni [28]

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-7/6

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Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

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The left and right endpoints of the i-th subinterval, respectively, are

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

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\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}

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

p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_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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Likurg_2 [28]

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