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2 years ago

5 (-3.5) + 4 3/4 - 3.25 divided by -4

Mathematics

1 answer:

Papessa [141]2 years ago

6 0

Answer:

Step-by-step explanation:

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Are the ratios 3/6 and 6/3 equivalent why or why not?

Bumek [7]

Answer:

Yes!

Step-by-step explanation:

It is because your still getting the same number 3 because even though your multiplying and dividing it still works

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2 years ago

Tickets to a play cost $8.00 each.

jekas [21]

Answer:

Step-by-step explanation:

b + g = 8x

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2 years ago

Write each polynomial in standard form. Identify the leading coefficient 10x-7+x4+4x3

JulijaS [17]

Polynomial in standard form:

x⁴ + 4x³ + 10x - 7

Leading coefficient:

1

How it should be written:

x⁴ + 4x³ + 10x - 7; 1

3 0

3 years ago

Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y

DiKsa [7]

The area of the surface is given exactly by the integral,

$\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx$

We have

$y(x)=\dfrac15x^5\implies y'(x)=x^4$

so the area is

$\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx$

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the $i$ -th subinterval are, respectively,

$\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2$

$r_i=\dfrac{5-0}{10}i=\dfrac i2$

with midpoint

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4$

with $1\le i\le10$ .

Over each subinterval, we interpolate $f(x)=\sqrt{1+x^8}$ with the quadratic polynomial,

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

Then

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that the latter integral reduces significantly to

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)$

which is about 651.918, so that the area is approximately $651.918\pi\approx\boxed{2048}$ .

Compare this to actual value of the integral, which is closer to 1967.

4 0

3 years ago

Can sumone pls help me i frfr dont understand this

dybincka [34]

Answer:

No more

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers