All categories

3 years ago

Can someone help me with this math homework please!

Mathematics

2 answers:

nasty-shy [4]3 years ago

8 0

A and c hope this helps!!

babunello [35]3 years ago

3 0

The answer is A and C

You might be interested in

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]

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

The arc length of the curve is

$\displaystyle\int_0^5\sqrt{1+\frac{9x^4}{(6+x^3)^2}}\,\mathrm dx$

which has a value of about 5.99086.

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

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

The left and right endpoints are given respectively by the sequences,

$\ell_i=\dfrac{i-1}2$

$r_i=\dfrac i2$

with $1\le i\le10$ .

These subintervals have midpoints given by

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

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

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

5 0

3 years ago

Rope: 15 feet, cut 4 sections how long is each section of rope?

Tomtit [17]

Answer: each rope is 3.75 inches long!

15 divided by 4 is 3.75. Please mark brainliest

3 0

4 years ago

Omg cholesteral please help me with this one<br> letter choices

Akimi4 [234]

Population density (people per square mile) is found by dividing population by square miles. The appropriate numbers are found in choices A and B, but only choice B uses the <em>divided by</em> operation.

The appropriate choice is ...

... B) 1.2e6÷1.1e4

3 0

3 years ago

The water from an outdoor fountain follows a path that is shaped like a parabola. The arch created by the water is 32 inches wid

exis [7]

Answer:

i dont understand

Step-by-step explanation:

oh wait... (0,0) (16,28) (0,33)

6 0

3 years ago

A garden has a length of 20 ft. It has a width of 12 ft. What is the area of the garden ?

Crazy boy [7]

Answer:

The answer for your problem is 240

Step-by-step explanation:

A=wl=12·20=240

for this problem all you had to do was multiply

12*20 to get your answer

6 0

3 years ago