11.
1/1 points |
Previous Answers
SCalcET7 3.5.508.XP.
Find the derivative of the function.
12.
1/1 points |
Previous Answers
SCalcET7 3.5.512.XP.
Find the derivative of the function.
h'
(
x
) =
1−
xsin
−1(
x
)√1−
x
2
y
=
31
arctan
x
y'
=
312√
x
(
x
+1)
h
(
x
) =
sin
−1
x
1 −
x
2

13.
6/6 points |
Previous Answers
You are standing in the Uffizzi gallery admiring a painting by Botticelli. The painting is huge, and your viewing location is pictured below; all
measurements are in meters.
(a) If
x
is the your distance from the wall holding the painting, find a function
A(x)
that computes the angle
a
in the picture;
A(x)=
tan
−1(13
x
)−
tan
−1(3
x
)
(b) Find the rate of change with respect to
x
of the angle
a
when you are at the location
x
−10(
x
2−39)
x
4+178
x
2+1521
(c) Find the rate of change with respect to
x
of the angle
a
when you are at the location
x=4
46925
m. (Exact answer.)
(d) Find the rate of change with respect to
x
of the angle
a
when you are at the location
x=13

−251157
m. (Exact answer.)
(e) Find the location where the rate of change with respect to
x
of the angle
a
is zero
√39
m.(Exact answer.)
(f) When you are standing at the location to maximize
a
, what is the value of
a
?