Question

Find the area of the region bounded by the graphs of the given equations. Write the exact answer. Do not round. $y^2 - x = -3$, $x = 4y$ Answer

          Find the area of the region bounded by the graphs of the given equations. Write the exact answer. Do not round.
$y^2 - x = -3$, $x = 4y$
Answer
        
Find the area of the region bounded by the graphs of the given equations. Write the exact answer. Do not round.
y^2 - x = -3, x = 4y
Answer

Added by Rodrigo H.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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Find the area of the region bounded by the graphs of the given equations. Write the exact answer. Do not round. y = x - 3, x = 4y.
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Transcript

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00:01 In problem 30 we want to get the area enclosed between these functions or these lines let's sketch them to visualize the bounded area the first line y equals 3 this line y equals 3 the second line is y equals x this line is y equals x 1 2 3 and finally x x x 1 2 3 1 2 3 and finally x x x x equals 0 x equals 0 is the y -axis this is x equals 0 you want to get the area enclosed between these lines we can get it algebraically very easily by getting the area of a triangle equals half by base by height we have the base equals 3 and we have the height and we have the height…
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