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An ecologist wishes to mark off a circular sampling region having radius 10 meters. However the radius of the resulting region is actually a random variable R with probability density function.
f(x)= 3/4 [1-(100 + r^2 - 20r)]; 9 ≤ r ≤ 110 ; otherwise
What is the expected area of the resulting circular region?
triangle ABC has vertices A(0, 6), B(4, 6), and C(1, 3). Find the orthocenter of triangle ABC.
a solid is generated by revolving about the x-axis the region bounded by the graph of the positive continuous function y=f(x), the x-axis, and the fixed line x=a and the variable line x=b, b>a.
One card will be randomly selected from a standard 52-card deck of cards. What is the probability that it will be the jack of hearts?
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value.
How much profit can they expect to earn if they produce 130,000 chips per week? calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
A trough is 15 ft long and 4 ft across the top . Its ends are isosceles triangles with height 3 ft. Water runs into the trough at the rate of 2.5 ft3/min. How fast is the water level rising when it is 2.11 ft deep? Give your answer correct to 3 de..
A Pyramid is 785 ft high (due to erosion, its current height is slightly less) and has a square base of side 3140 ft. Find the work needed to build the pyramid if the density of the stone is estimated at 180 lb/ft^3.
what is the farmer's breakeven point in units (pounds) now? What is the farmer's breakeven point in dollars?
Test car A is traveling at a rate of 146 ft/sec . Test car B is traveling at a rate of 93 mi/h. Which car is moving at the faster rate?
how can i get free notes on the book written by Bluman, i need to use that material have an exam on my monday. please help me, iam from TANZANIA, studying computer science.
If a ball is thrown straight up into the air with an initial velocity of 45 ft/s, it height in feet after t second is given by y=45t-16t2. Find the average velocity for the time period begining when t=2 and lasting.
the proportions of the rectangle never changes. how fast is the area of the rectangle increasing when its dimensions are 12cm by 8cm.
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