2 years ago

. The table shows the distance a truck

Mathematics

1 answer:

nirvana33 [79]2 years ago

5 0

Answer:

see photo attached for detailed analysis.

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26.69
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What is the solution to the equation? 16 = -d + 6 a) 10 b) - 10 d) - 15 c) - 9

Rasek [7]

Answer:

Step-by-step explanation:

-d + 6 = 16

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3 years ago

Use the arc length formula to find the length of the curve y = 5x − 4, −1 ≤ x ≤ 3. check your answer by noting that the curve is

AnnZ [28]

The given curve is y = 5x -4, -1 ≤ x ≤ 3.

The length of the arc is computed from the formula
$S= \int_{-1}^{3} \,\sqrt{1+ (\frac{dy}{dx} )^{2}} \, dx$

The derivative is
y' = 5

Therefore
$S = \int_{-1}^{3} \sqrt{1+25} \, dx =\sqrt{26}*(3-(-1))=20.396$

Note that
x = -1 +> y = 5(-1) - 4 = -9
x = 3 => y = 5(3) - 4 = 11
The distance between the points (-1, -9) and (3, 11) from the distance formula is
D = √[(3-(-1))² + (11-(-9))²] = √(16+400) = 20.396
This answer agrees with that obtained by integration.

Answer: 20.396
Obtained by integration and verified by the distance formula.

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3 years ago