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The average length (L) and width (W) of bird eggs are: Bird 1 -L=8.6, W=5.8; Bird 2 - L=1.9, W=1.5; Bird 3 - L=3.1; W=2.3; Bird 4 - L=1, W=1; Bird 5 - L=5, W=3.3. a. Assume that a bird's egg is roughly the shape of an ellipsoid. Use the following formula to estimate the volume of an egg of each bird. V=(4*(pi)ab^2)/3 b. The average length of an egg of width W is given by L=1.585W-0.487. Using this result and the ideas in part a, show that the average volume of an egg of width W centimeters is given by V=@DIV{π(1.585W@Sup{3}-0.487W@Sup{2});6}. Use this formula to calculate the average volume for the bird eggs in part a, and compare with your results from part a.
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per sec, then its height after t seconds is given by the equation h=-16t2+80t+96 where h is in feet. after how many seconds will the object reach a height ..
Determine the time that needs to elapse before the pan is 160 F. What do you notice about the temperature as time passes?
Find the nodes x_i and the weights w_i so that the Gaussian quadrature of the sum from i=1 to 2 of (w_i) f(x_i) approximating the integral from -1 to 1 of f(x)dx is exact when f(x) is a polynomial of as high degree as possible.
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
As a balloon in the shape of a sphere is being blown up, the volume is increasing at a rate of 4 [cubic inches/s]. At what rate is the radius increasing when r = 1 inch?
If the sun is above the horizon, find the length of the shadow cast by a building tall. Round your answer to the nearest hundredth.
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
the radius of the earth is 6.38x10^3km. what is the radius of the earth measured in cm?
Acme can produce DVD players at a cost of $140 each and market analysis estimates that if the players are sold at x dollars apiece, consumers in a region will buy approximately 2000e^-0.01x machines per week.
The player who draws a red tile first is the winner. In the first round, Thomas goes first, then Jenna, and then Maria, and none of them draws a red tile. What is the probability that Thomas will win the game on his second turn?
The length of a new rectangular playing field is 7 yards longer than tripple the width. If the perimeter of the rectanglar playing field is 464 yards
Find the probability of making a Type II error.
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