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2 years ago

Select the equation that contains the point (4,7) and in which the slope equals 1

Mathematics

1 answer:

Art [367]2 years ago

7 0

Answer:

y-7=x-4

Step-by-step explanation:

If you change the equation to y=mx+b yout would get Y=x+3 plug in the point (4,7) and you would get 7=4+3

7=7 so that is correct.

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3 years ago

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The quotient of n and 7 is 39

Scorpion4ik [409]

Let n = the unknown number.

Quotient tells you use division.

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Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produ

SOVA2 [1]

$y=\ln(6+x^3)\implies y'=\dfrac{3x^2}{6+x^3}$

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Let $f(x)=\sqrt{1+\frac{9x^4}{(6+x^3)^2}}$ . Split up the interval of integration into 10 subintervals,

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Over each subinterval, we approximate $f(x)$ with the quadratic polynomial

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$

so that the integral we want to find can be estimated as

$\displaystyle\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that

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

so that the arc length is approximately

$\displaystyle\sum_{i=1}^{10}\frac{f(\ell_i)+4f(m_i)+f(r_i)}6\approx5.99086$

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Select the equation that contains the point (4,7) and in which the slope equals 1​

Select the equation that contains the point (4,7) and in which the slope equals 1