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3 years ago

Can someone please help me ASAP!

Mathematics

1 answer:

Lana71 [14]3 years ago

8 0

Answer:

Step-by-step explanation:

x ={-1, 0, 2, 4, 7}

We see every x value only one time, so given pairs (x,y) is a function.

Answer is D.

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Is number 7 correct ? Please help

Zarrin [17]

option D

rent = 25b + 10

where b is hours for boat rented

85 = 25b + 10

25 b = 75

b = 75/25 = 3

3 0

3 years ago

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

UGHHHHHHHHHHHHHHHHHHHHHHHHH HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

dimaraw [331]

Answer:

11/25

Step-by-step explanation:

44% can be written as a Fraction as 44/100. This fraction can ultimately be simplified to 22/50 before being finally reduced again to 11/25.

4 0

2 years ago

Read 2 more answers

What is bigger 7.09 or 7.2.

docker41 [41]

7.2 would be bigger than 7.09

6 0

3 years ago

What is the simplified value of expression below 1/3 2/3

Dmitriy789 [7]

Answer:

C.1/2

Step-by-step explanation:

6 0

3 years ago