Find the cone with the largest volume using 25 square units of
material.(yes the cone has...
Find the cone with the largest volume using 25 square units of
material.(yes the cone has a ”cap” so don’t forget the disc in your
formula.) Hint: Lagrange Multipliers
Find the volume of the solid using triple integrals. The solid
bounded below by the cone
z= sqr
x2+y2 and bounded above by the sphere
x2+y2+z2=8.(Figure)
Find and sketch the region of integration R.
Setup the triple integral in Cartesian coordinates.
Setup the triple integral in Spherical coordinates.
Setup the triple integral in Cylindrical coordinates.
Evaluate the triple integral in Cylindrical coordinates.
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
A rectangular box with a square base has a volume of 4 cubic
feet. The material for the bottom of the box costs $3 per square
foot, the top costs $2 per square foot, and the four sides cost $5
per square foot.
(a) If x is the side length of the square base, and y is the
height of the box, find the total cost of the box as a function of
one variable.
(b) Find the critical number...
Use spherical coordinates to find the volume of the solid E that
lies below the cone z = sqrt x^2 + y^2, and within the sphere x^2 +
y^2 + z^2 = 2, in the first octant.
Find the expected count and the contribution to the chi-square
statistic for the (Group 1, Yes) cell in the two-way table below.
Yes No Group 1 711 263 Group 2 1159 313 Round your answer for the
excepted count to one decimal place, and your answer for the
contribution to the chi-square statistic to three decimal places.
Expected count= contribution to the chi-square statistic=
Find the missing values in the tabeel below using Charle's Law.
The volume units must agree, and all the temperatures must be in
Kelvin. Show all work.
V1 T1 V2 Ts
a) 755mL 435 degrees Celsius 1.15 pints ?
b) ? 344 K 353 in^3 -13 degrees Fehrenheit
"Using Python, code to find the smallest and largest planet mass
(if known), and plot these as two curves against the year of
discovery"
Basically looking to use data from an excel sheet where
'disc_year' and 'pl_mass' are columns of data; and code Python to
find the maximum value of mass and the minimum value of mass for
each year, then plot this as two curves. There are multiple planets
for any given year hence multiple values for mass. Below...