Arc Lengths of Curves: Parametric Equations
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
What is the derivative of
y
(
t
)
=
e
t
y(t) = e^t
y
(
t
)
=
e
t
?
QUESTION
Find
d
x
d
t
\frac{dx}{dt}
d
t
d
x
if
x
(
t
)
=
sin
(
t
)
x(t) = \sin(t)
x
(
t
)
=
sin
(
t
)
.
QUESTION
What is
d
y
d
t
\frac{dy}{dt}
d
t
d
y
for
y
(
t
)
=
csc
(
t
)
y(t) = \csc(t)
y
(
t
)
=
csc
(
t
)
?
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ANSWER
−
csc
(
t
)
cot
(
t
)
-\csc(t)\cot(t)
−
csc
(
t
)
cot
(
t
)
. Derivative of
csc
(
t
)
\csc(t)
csc
(
t
)
using quotient rule.
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