3 years ago

A homeowner wants to determine how much paint is needed to paint the walls of his living room.

Mathematics

1 answer:

garik1379 [7]3 years ago

8 0

Answer:A

Step-by-step explanation:becouse it makes sen e

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Find the exact length of the curve. x = 1 + 6t2, y = 4 + 4t3, 0 ≤ t ≤ 3

vovangra [49]

$x=1+6t^2\implies\dfrac{\mathrm dx}{\mathrm dt}=12t$

$y=4+4t^3\implies\dfrac{\mathrm dy}{\mathrm dt}=12t^2$

The length of the curve $C$ is given by

$\displaystyle\int_C\mathrm ds=\int_0^3\sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm dt}\right)^2}\,\mathrm dt$

$=\displaystyle\int_0^3\sqrt{144t^2+144t^4}\,\mathrm dt$

$=\displaystyle12\int_0^3t\sqrt{1+t^2}\,\mathrm dt$

$=\displaystyle6\int_0^3 2t\sqrt{1+t^2}\,\mathrm dt$

$=\displaystyle6\int_0^3\sqrt{1+t^2}\,\mathrm d(1+t^2)$

$=6\cdot\dfrac23(1+t^2)^{3/2}\bigg|_0^3$

$=4(10^{3/2}-1)$

$=40\sqrt{10}-4$

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3 years ago

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Sphinxa [80]

Answer:

4.2

Step-by-step explanation:

its asymmetrical

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3 years ago

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A 12-story office building is 120 ft tall with plan dimensions of 120 × 80 ft. the structure is of conventional curtain wall con

trasher [3.6K]

Answer:

96. (b)-0.066

97. (d)-0.096

98. (a)179

99. (a)-78

Step-by-step explanation:

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3 years ago

Find the original price of a pair of shoes if the sale price is $78 after a 25% discount.

Flauer [41]

78=.75x or $78 is 75% of the original price before the discount 78/.75=x x=104 is the original price proof 104-(.25*104)=78 104-26=78 78=78

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vredina [299]

The answer is 435 :)

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3 years ago