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4 years ago

Will give 5 starts, thanks need this FAST!!!!!!!!!!!!!!!

Mathematics

1 answer:

Rus_ich [418]4 years ago

3 0

Answer: i dont know how exact you want it but the answer is 31.4159265359

Step-by-step explanation: you have to double the raduis and multiple buy pie.

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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,

torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

$y=6x^2+14x$

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

$\frac{dy}{dx}=12x+14$

We know that length of curve

$s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx$

We have a=-2 and b=1

Using the formula

Length of curve= $s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx$

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

$dt=12dx$

$dx=\frac{1}{12}dt$

Length of curve= $s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt$

We know that

$\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C$

By using the formula

Length of curve= $s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}$

Length of curve= $s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})$

Length of curve= $s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})$

Length of curve= $s=32.66$

5 0

3 years ago

Is 4 to 7 the same as 7 to 4? Explain why or why not

Pavlova-9 [17]

Yes

Step-by-step explanation:
4×7=28
and 7×4 also equal to 28

8 0

4 years ago

Write 0.00467 in standard form

meriva

Answer:

$\frac{0.00467}{100000}$

Step-by-step explanation:

Given :

0.00467

Now,

$0.00467=\frac{0.00467}{100000}$

Standard form of given equation is :

$\frac{0.00467}{100000}$

6 0

3 years ago

Holsen wants to know the theoretical and experimental probability of rolling a number larger than a 3 on a 6-sided number cube n

Novosadov [1.4K]

Answer:

I need more info to help you answer the question

Step-by-step explanation:

8 0

3 years ago

15 16 17 18 19 Ancers please

kodGreya [7K]

15. 1hour 7minutes and 5seconds

4 0

3 years ago