Answer:
Step-by-step explanation:
There is an error in the question. The table does not show two linear functions. y₁ is a linear function, but y₂ is not a straight line. It makes a bend at (-6,1).
Line 1 goes through (-12,-3) and (0,5).
slope = (5-(-3))/(0-(-12)) = 2/3
y-intercept = 5
y₁ = (2/3)x + 5
Line 2 goes through (-12,-2) and (-6,1).
slope = (1-(-2))/(-6-(-12)) = 1/2
y₂ = (1/2)x + 4
(2/3)x + 5 = (1/2)x + 4
x = -6
y = (2/3)x + 5 = 1
Solution: (-6,1)
The answer is C. I solved for the first variable in one of the equations then substitute the result into the other equation.
Answer:
See below
Step-by-step explanation:

Recall

Using the chain rule

such that 
we can get a general formulation for

Considering the power rule

we have

therefore,

Now, once

we have

Hence, we showed

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For the integration,

considering the previous part, we will use the identity

thus

and

Considering 
and then 
we have

Therefore,


Answer:
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Step-by-step explanation:
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