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1. Determine the volume of the solid generated by rotating function f(x) = √(64 - x2) about the x-axis on [6, 8].
2. Find the volume of the solid formed by rotating the region enclosed by y = e3x + 1, y = 0, x = 0, x = 0.4 about the x-axis.
3. Find the average value of the function f(x) = 5x2 on the interval 0 ≤ x ≤ 4.
4. Suppose you deposit $6000 at 7% interest compounded continuously. Find the average value of your account during the first 2 years.
5. If a cup of coffee has temperature 100oC in a room where the ambient air temperature is 24oC, then, according to Newton's Law of Cooling, the temperature of the coffee after t minutes is T(t) = 24 + 76e-t/50. What is the average temperature of the coffee during the first 28 minutes?
Use implicit differentiation to find dy/dx for each of the following equations. Show all work! x2 + y2 = 5 And 2y5 = 3x2
In your industrial oven, you bake two baking sheets with 15 scones each, two baking sheets with 14 cookies each, and one baking sheet with 8 scones and 12 cookies.
compute the standard deviation and range for the durationof hospitalization for the 25 patients.
but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
question1athe connected planar graph g has degree sequenceg1 g2 g3 g4 g5 g6and the connected planar graph h has degree
How would you operationalize recidivism and what scale of measurement is used for recidivism in your proposed study? Can you analyze the effectiveness of this program using any of the statistical tests we have covered thus far in the course? Explai..
find the equation of the largest sphere that passes through the point (-1,1,4) and is such that each of the points (x,y,z) inside the sphere satisfies the condition x^2+y^2+z^2
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
Question 1: I have a C drive and H drive , what is H ? Question: If Anu had Rs 600 left after spending 75% of her money,how much did she have in the beginning ? Answer both mathematiics question
Let E and F be non-zero-probability events. If E and F are mutually-exclusive, can they also be independent?
In a hypothesis testing, if the p-value is less than the significance level α, we do not have sufficient evidence to reject the null hypothesis. Refer to the following frequency distribution for Questions 2, 3, 4, and 5. Show all work. Just the an..
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