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Find the equation of the sphere if one of its diameters has endpoints (-8, 6, 10) and (-5, 12, 19) which has been normalized so that the coefficient of x^2 is 1.
Find a polar equation for the curve represented by the given Cartesian equation.
Find the speed of the plane in still air and the speed of the wind.
In calculus, the function f(x) = e^(-x^2) is always given as an example of a function that "you cannot integrate" because one cannot guess an elementary function F such that F'(x) = e^(-x^2). Find a power series for F.
A forest consist of two types of trees: those that are 0-5 feet tall and those that are taller than 5 feet. Each year, 40% of all 0-5 feet tall trees die, 10% are sold for $20 each, 30% stay between 0-5 feet tall, and 20% grow to be more than 5 fe..
An arrow shot straight up into the air reached a height of 75m. With what velocity did it leave the bow? How long was the arrow in the air?
A ball is thrown vertically upwards from a height of 5 ft with an initial velocity of 50 ftper second. How high will the ball go?
Calculate the correlation coefficient for the linear trend line forecast & describe its meaning.
The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area.
Give the general steps for graphing a linear function. Give an example of a linear function and graph it.
Probability of drawing the following card. One card is drawn from an ordinary deck of 52 cards. Find the probability of drawing the following card
Develop a joint probability table and show the marginal probabilities. What is the probability of a household whose income exceeds $40,000 and who rejects the offer?
Find the hypothesis and the null hypothesis
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