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A meteorologist claims that the average high temperature for the month of August in Philadelphia, PA. is 83 degrees Fahrenheit. If the residents of Philadelphia do not believe this to be true, what hypotheses should they test?
A bowl is shaped like a hemisphere with diameter 30 cm. A heavy ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
Formulas are equations that have been used so frequently in certain applications that they have become standard. Examples are the simple interest formula, I = PRT, and selling price, S = C + M.
What is the magnitude of the tension on the ends of the clothesline?
a rectangle has a lenght that is 3 feet more than two time the width. the area of the rectangle is 152 ft^2 draw a daigram of the rectangle write an equation from the diaphram
Find the following: the projectile's velocity, the speed of the projectile, the unit tangent vector to the curve, the unit normal vector to the curve, the binormal vector.
Of 346 items tested, 12 are found to be defective. Construct the 98% confidence interval for the proportion of all such items that are defective.
They decide to rent the copier, but must stay within a budget of $1200 for copies. Determine (in terms of an inequality) the number of copies they can make and still remain within budget.
Find the rate at which the water is draining from the tank after 5 minutes, 12 minutes, and 20 minutes.
differentiable everywhere. Prove that for every positive number b, there exists a number c in (-b,b) such that f prime (c)= f(b)/b
In what direction should the bug move from P for the temperature to increase the fastest? What is the magnitude of the rate of change of temperature in that direction?
A trapezoid with bases 4 m and 6 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
I get the critical points are(0,0) and(-2^1/5, 4^1/5). Then I get det(0,0)=2 and det(-2^1/5, 4^1/5)=-10, so index of the system is -8 and the index of periodic orbit is 1, so there's no periodic orbit.
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