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Answer:
(2/3)(e^t +1)^(3/2)
Step-by-step explanation:
Use the substitution ...
u = e^t +1
Then du = e^t and you are finding the integral of ...
∫u^(1/2)·du
which you know by the power rule is ...
(2/3)u^(3/2) = (2/3)(e^t +1)^(3/2)
ANSWER
EXPLANATION
First we need to find the equation of the boundary line which passes through (-1,-3) with a y-intercept of -5.
The slope of this line is
The equation of this line is
Since the boundary line is solid and the upper half plane is shaded the required inequality is
They are perpendicular to each other