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The equation f(x,y) = f(a,b) defines a level curve through a point (a, b) where grad f (a, b) à= ì0 . Use im- plicit differentiation and the chain rule to show that the slope of the line tangent to this curve at the point (a, b) is !fx(a,b)/fy(a,b) if fy(a,b) à
A lottery offers one $1000 prize, one $500 prize, five $100 prizes, and ten $10 prizes. One thousand tickets are sold. What should be the price of the ticket if the game is fair?
Explain the concept of "rational subgroups". Why is it imperative that this concept is carried out in practice?
a biologist has two brine solutions one containing 3 salt and another containing 12 salt. how many millimiters of
Solve the equation on the interval.
Question: Estimate the true proportion of heads. Use a 95% confidence interval. Don't forget to check the conditions first.
a college professor claims that the average cost of a paperback textbook is greater than 27.50. a sample of 50 books
taylor expansion to find the dominant behavior of velocity.if an object with mass m falls from rest subject to a
A rectangular storage container with a lid is to have a volume of 16 m3. The length of its base is twice the width. Material for the base costs $8 per m2. Material for the sides and lid costs $16 per m2. Find the dimensions of the container which ..
If your real estate taxes are $4,500 annually and you know that the rate is 3%, what is the value of your house?
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
The difference exists between the mean number
Suppose that you are to make a rectangular box with a square base [B]from two different materials. The material for the top and four sides of the box costs $1/ft^2; the material for the base costs $2/ft^2.
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