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Write a triple integral including limits of integration that gives the volume of the cap of the solid sphere x2 + y2 + z2 ≤ 5 cut off by the plane z =2 and restricted to the first octant. (In your integral, use theta, rho, and phi for θ, ρ and Φ, as needed.) What coordinates arc you using?
Calculate probability values.
The base of an aquarium with volume V = 325 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.
Make a table showing the probability distribution function(pdf) and cumulative distribution function (cdf) for X. Hint: draw a probability tree modeling the game.
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
Calculate the average rate of return for each stock during the 5-year period. Round your answers to two decimal places.b. Assume that someone held a portfolio consisting of 50% of Stock A and 50% of Stock What would have been the realized rate of r..
An access ramp rises 3.2 ft over a distance of 30 ft. What is the average angle of the ramp with the horizontal?
Determine the probability when standard deviation and mean is given by using normal distribution - Show the entire calculation
How many of the bulbs should she plant next fall if she would like at least 52 to bloom?
Using the optimistic and conservative approaches in a decision analysis will never give the same optimal decision is the question true or false?
A rancher has 256feet of fencing to close two adjacent rectangular corrals.What dimensions will produce the largest total area? What is the maximum total area?
What are some of the problems and drawbacks of the moving average forecasting model? How do you determine how many observations to average in a moving average model?
rachel borrowed 20000 at 10 p.a. reducible and agreed to repay the loan over 4 years with 8 equal half-yearly
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