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3 years ago

2(7y+4x+2z)+2(6y+9x+5z

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

Answer:

2(7y+4x+2z+1)

Step-by-step explanation:

Factor out the 2 from the expression

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A plane flew 1,000 miles away from London for one flight.For the next flight,it flew 500 miles toward London. How far was the pl

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Answer:
500 miles
Reason:
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1000 miles - 500 miles = 500 miles :)

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3 years ago

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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

Rainbow [258]

Answer: A = 58

Step-by-step explanation: The sketched region enclosed by the curves and the approximating rectangle are shown in the attachment.

From the sketches, the area will be integrated with respect to y.

To calculate the integral, first determine the limits, which will be the points where both curves meet.

In respect to y:

$2x+y^{2} = 48$

$2x= 48- y^{2}$

$x= 24 - \frac{y^{2}}{2}$

Finding limits:

$y= 24 - \frac{y^{2}}{2}$

$24 - \frac{y^{2}}{2}-y=0$

Multiply by 2 to facilitate calculations:

$48 - y^{2}-2y=0$

Resolving quadratic equation:

$y=\frac{-2+\sqrt{2^{2}+192} }{2}$

y = 6 and y = -8

Then, integral to calculate area will be with limits -8<y<6:

$A = \int {24-\frac{y^{2}}{2}-y } \, dy$

$A = 24y - \frac{y^{3}}{6}-\frac{y^{2}}{2}$

$A = 24.6 - \frac{6^{3}}{6}-\frac{6^{2}}{2}-[24.(-8) - \frac{(-8)^{3}}{6}-\frac{(-8)^{2}}{2}]$

A = 58

<u>The area of the enclosed region is 58 square units.</u>

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3 years ago

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Step-by-step explanation:

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The answer to the question is 12,400

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