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Find a parametrization of the surface.
The portion of the sphere x^2 + y^2 + z^2 = 1 between the planes z =0 and z= 1
r(φ,θ) = (_)i + (_)j + (_)k
(Type exact answers, using radicals as needed.)
What is the interval for φ?
_≤φ≤_
(Type exact answers in terms of π.)
What is the interval for θ?
_≤θ≤_
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
Describe the transformation,function of g(x)=-sqrtx, h(x)=sqrtx+3,i(x)=sqrtx-1+2,j(x)=sqrtx+3
The solution to Linear transformations, A linear transformation L: V -- W is said to be one-to-one if L(v1) = L(v2) implies that v1=v2. Show that L is one-to-one if and only if ker(L) = {0v}.
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
the proportionnbspof readmission rates for heart failure within 30 days at your institution is believed to be 25 based
A researcher is comparing samples from 3 populations. She has 10 samples from the first population and 10 samples from the second population. What is the maximum number of samples she can take from the third population?
The base of an aquarium with given volume V=465 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Enter your ..
Select the approximate values of x that are solutions to f(x) = 0, wheref(x) = -8x2 + 6x + 5. A. {-1.60, 1.20}B. {-8, 6}
a random sample of the lifetime of 49 ultraillum light bulbs has a mean of 3960 hours and a standard deviation of 200
Determine the joint distribution of the least-squares solution and determine the distribution of the linear regression line at an arbitrary explanatory point x, that is, the distribution
The tallest mountain in the world, as measured from base to peak, is Mauna Kea in Hawaii. From a base 19,684 ft below sea level, it rises 33,480 ft. What is the elevation of its peak?
A solution was prepared by mixing 4.00 ml 0.20 M NH3, 1.00 ml of 0.20 M HCl, and 5.00 ml of water. Calculate the concentration of NH3 and NH4+ in the final diluted solution.
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