Area Between Curves: Functions of y
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the integral setup for
x
=
y
2
−
4
x = y^2 - 4
x
=
y
2
−
4
and
x
=
y
+
2
x = y + 2
x
=
y
+
2
from
y
=
−
3
y = -3
y
=
−
3
to
y
=
3
y = 3
y
=
3
?
QUESTION
State the integral setup for curves
x
=
y
2
+
1
x = y^2 + 1
x
=
y
2
+
1
and
x
=
4
y
−
2
x = 4y - 2
x
=
4
y
−
2
from
y
=
−
1
y = -1
y
=
−
1
to
y
=
3
y = 3
y
=
3
.
QUESTION
How do you find intersection points algebraically for
x
=
f
(
y
)
x = f(y)
x
=
f
(
y
)
and
x
=
g
(
y
)
x = g(y)
x
=
g
(
y
)
?
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ANSWER
Set
f
(
y
)
=
g
(
y
)
f(y) = g(y)
f
(
y
)
=
g
(
y
)
and solve for
y
y
y
. Standard method: equate the functions and solve the resulting equation.
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