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At which points in the plane does the function f(z) = 2z^3 + 3z^2 - 12z + 6 have a local analytic inverse ? where z is in the complex plane
Two regular pentagons have areas of 20 mm² and x² - x mm². What values of x make the pentagons congruent?
Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 39 feet?
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
equation of the hyperbola if equations of asymptotes are given.find the equation of the hyperbola if the asymptotes are
Let R be a region in the first quadrant enclosed by the curves of , , and the vertical lines and . Find the area of the enclosed region. Give your answer correctly rounded to two decimal places.
A fireplace arch is to be constructed in the shape of a semi ellipse. The opening is to have a height of 40 inches at the center and a width of 82 inches along the base.
Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.
a survey of 1000 registered voters reveald taht 450 people would vote for candidate A in up coming election. If 220,000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
A family made an investment for 1 year that earned $7.50 simple interest. If the principal had been $25 more and the interest rate 1% less, the interest would have been the same. Find the principal and the rate.
Write the given number in standard notation and write the number in standard notation. 8 × 10 6
The expected gains & losses under each economic type of conditions are shown in the following table.
Write an equation for the hyperbola with vertices at (-5,5) and (5,5) and foci at (-7,5) and (7,5)
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