Suppose we know that the radius of a circle is
increasing at a rate of 10...
Suppose we know that the radius of a circle is
increasing at a rate of 10 feet each second, and we want to know
how fast the area of the circle is increasing when the radius is 5
feet. What can we do?
Solutions
Expert Solution
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Write a Java program named CircleZapper that displays a circle
with a radius of 10 pixels, filled with a random color at a random
location on the screen. When you click the circle, it disappears
and a new random color circle is displayed at another random
location (see display below). After twenty circles are clicked,
display the time spent in the pane. To detect whether a point is
inside the circle, use the contains method defined in the
Node class....
If a circle C with radius 1 rolls along the outside of
the circle x2 +
y2 = 36, a fixed point P on
C traces out a curve called an epicycloid, with
parametric equations x = 7
cos(t) − cos(7t),
y = 7 sin(t) −
sin(7t). Graph the epicycloid.
Find the area it encloses.
A circle of radius r has area A =
πr2. If a random circle has a radius that is uniformly
distributed on the interval (0, 1), what are the mean and variance
of the area of the circle?
Change the distribution of the radius to an exponential
distribution with paramter β = 2. Also find the probability that
the area of the circle exceeds 3, if it is known that the area
exceeds 2.
Suppose we know that the average heart rate measured for the 30
days is 129.5 bps. Assume that fetal heart rate is normally
distributed. He decides to use the sample’s Standard deviation of
12 bps because the populations Standard deviation is not known.
Will this 95% confidence interval be more accurate than the
confidence interval from above? Justify your
answer.
1) A circle of radius r has area A = π r2. If a
random circle has a radius that is evenly distributed in the
interval (0, 1), what are the mean and variance of the area of
the circle?
choose the correct answer
A) 1/3 and 1/12
B) Pi/3 and 1/12
C) Pi/3 and 1/5
D) Pi/3 and (4/45)*Pi^2
a-
If the radius
r of a circle is measured to
be r 0.325
+\-
0.001
m, then
calculate the area of the
circle A = 3.14r 2
,
as well as the
uncertainty in the area.
b-Explain the difference
between precision and accuracy.
c-Do systematic errors affect
precision or accuracy? Do random errors affect precision or
accuracy?
1. True or False:
If we know that f(x) is increasing on an interval, then f ''(x)
should be positive on that interval.
2. True or False:
If f '(x) is increasing on a certain interval, then f ''(x) is
positive on that interval.
3. If f ''(x)<0 on a certain interval, which of the following
must be true on that interval? (2 answers)
A. f '(x) is decreasing
B. f(x) is increasing
C. f(x) is concave down
D. f(x)...
Circle Class Write a Circle class that has the following member
variables: • radius: a double • pi: a double initialized with the
value 3.14159 The class should have the following member functions:
• Default Constructor. A default constructor that sets radius to
0.0. • Constructor. Accepts the radius of the circle as an
argument. • setRadius. A mutator function for the radius variable.
• getRadius. An accessor function for the radius variable. •
getArea. Returns the area of the...
Circle Class
Write a Circle class that has the following member variables:
• radius: a double
• pi: a double initialized with the value 3.14159
The class should have the following member functions:
• Default Constructor. A default constructor that sets radius to
0.0.
• Constructor. Accepts the radius of the circle as an
argument.
• setRadius. A mutator function for the radius variable.
• getRadius. An accessor function for the radius variable.
• getArea. Returns the area of the...