Answer:
x = 16
Step-by-step explanation
Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.
Hence 2x+13 = 3x-3
Collect like terms
2x-3x = -3-13
-x = -16
Multiply both sides by -1
-1(-x) = -1(-16)
x = 16
Hence the value of x is 16
Given mapping is a function.
Domain:
Range:
Step-by-step explanation:
By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.
<u>Domain:</u>
Domain is the set of all inputs of a function. Here time is input so domain of function is:
<u>Range:</u>
Range is the set of all outputs of the function on domain so the range of the given function is:
Hence,
Given mapping is a function.
Domain:
Range:
Keywords: Domain, range, function
Learn more about function at:
#LearnwithBrainly
It looks like the differential equation is
Check for exactness:
As is, the DE is not exact, so let's try to find an integrating factor <em>µ(x, y)</em> such that
*is* exact. If this modified DE is exact, then
We have
Notice that if we let <em>µ(x, y)</em> = <em>µ(x)</em> be independent of <em>y</em>, then <em>∂µ/∂y</em> = 0 and we can solve for <em>µ</em> :
The modified DE,
is now exact:
So we look for a solution of the form <em>F(x, y)</em> = <em>C</em>. This solution is such that
Integrate both sides of the first condition with respect to <em>x</em> :
Differentiate both sides of this with respect to <em>y</em> :
Then the general solution to the DE is
Answer: The rate of change decreased.
Step-by-step explanation:
