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3 years ago

Which of the following expressions has a solution of -2

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer:

j. 1st, 2nd and 3rd

Step-by-step explanation:

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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= $s=32.66$

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3 years ago

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blondinia [14]

Answer:

its 4x

Step-by-step explanation:

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3 years ago

46th term for 206, 202, 198, ...

Ainat [17]

Answer: 26

Step-by-step explanation:

4*43= 172

198-172=26

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2 years ago

the rent charged for offices in a building is proportional to the area of the office. the monthly rent for one office with an ar

sasho [114]

1,800square ft/$1,200
1.5 square ft for $1

Now to find the area of mr. halloran’s office
$18,000/12 months = $1,500 per month
$1,500•1.5 sqft = 2,250 square feet
So mr. Halloran’s office area is 2,250 square feet and he pays $1,500 per month

4 0

3 years ago

A bicycle depreciates at a rate of 15%. Theresa bought a bicycle for $250. How much should it be worth 6 years later?

malfutka [58]

Answer:

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Step-by-step explanation:

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3 years ago

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