Does this relation represent a function

Mathematics

1 answer:

Ainat [17]3 years ago

4 0

Yes this is a function. Specifically, it is a linear function. It graphs a straight line. It is impossible to pass a single vertical line through more than one point on this graph. So it passes the vertical line test confirming we have a function.

Any input x leads to exactly one output y.

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kykrilka [37]

The value of double integration can be found by applying limits and integrating them one by one.

<h3>What is integration?</h3>

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We have:

$\rm \int\limits \int\limits_R {ye^{-xy}} \, dA \ , R = [0,2]\times[0,3]$

After plugging limits:

$\rm \int\limits^3_0 \int\limits^2_0 {ye^{-xy}} \, dx dy\$

After solving the first integration:

$\rm \int\limits^3_0 {(-e^{-2y}+1)} \, dy\$

After solving the further integration and plugging limits:

$=\rm \dfrac{e^{-6}(5e^{6}+1)}{2}$

$\rm \int\limits \int\limits_R {ye^{-xy}} \, dA \ =\dfrac{e^{-6}(5e^{6}+1)}{2}$

Thus, the value of double integration can be found by applying limits and integrating them one by one.

Learn more about integration here:

brainly.com/question/18125359

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2 years ago

To solve this system of equations by elimination, what operation could be used to eliminate the x-variable and find the value of

gayaneshka [121]

The system of equations are:

2x − 4y = 6
−3x + 3y = 9

To eliminate x, you should:
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2. multiply second equation with 2
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3 years ago

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Sarah is robbing a jewelry store, and she needs to get to the safe. To bypass the security, she needs to enter the 8-digit code

yawa3891 [41]

3/8 is her probability

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3 years ago

Hey sorry to bother you but what is (x+4)^2

guapka [62]

X^2 + 8x + 16 is the answer

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