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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you have any question please comment. I will explain.
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.
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)...
Give one example of where we might want to increase blood flow
by increasing the radius. What happens to the smooth muscle of the
artery when we do this?
1. 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 =3.14 r^2, as well as the uncertainty in the
area.
2. Explain the difference between precision and
accuracy.
3. Do systematic errors affect precision or accuracy? Do
random errors affect precision or accuracy?
A particle of mass m is constrained to a circle of radius
r0: that is, the potential for the particle is 0 when
the
particle is anywhere on that circle and infinite everywhere
else,
?(?) = 0 (r=r0)
V(r) = ∞ (? ≠ ?0)
Find the eigenvalues and normalized eigenfunctions of the
Hamiltonian for a particle on a ring.
What is the degeneracy of eigenvalues for this system. how many
eigenfunctions are
there for each eigenvalue)?
Write a C++ program that prompts the user for the radius of a
circle and then calls inline function circleArea to calculate the
area of that circle. It should do it repeatedly until the user
enters -1. Use the constant value 3.14159 for π
Sample:
Enter the radius of your circle (-1 to end): 1
Area of circle with radius 1 is 3.14159
Enter the radius of your circle (-1 to end): 2
Area of circle with radius 2 is...