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Prove that f is dierentiable at x = 0 and that f (0) = 0. Hint: Write down the limit you are trying to show to prove that the derivative at 0 exists.
Let p(x) = Ax^2 + Bx + C. Prove that for any interval [a,b], the value c guaranteed by the Mean Value Theorem is the midpoint of the interval.
Find how much must be deposited now (present value) at % simple interest so that in 3 years an account will contain $8575 (future value).
A 26 foot is placed against a vertical wall of a building with the botton of the ladder standing on level ground 10 feet from the base of the building. how high up the wall does the ladder reach.
After getting a 15% discount on the price of a new chrysler sebring convertible, Helen paid $27,000. What was the original price of the convertible to te nearest dollar?
If a goat is tied on a 50 foot lead to a corner on the outside of a rectangular barn and the barn is 20 feet by 20 feet and the goat can not get into the barn nor is the barn a grazing area
What is the Sample Space? and Find the sets corresponding to the events: A = "hand is in the first four hours." B = "Hand is between 2nd and 8th hours inclusive"; and D = "hand is in an odd hour"?
The distance from home plate to dead center field in a certain baseball stadium is 403 feet. A baseball diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first base to dead center field?
Find dy/dx by implicit differentiation. where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unit..
Does this sample data provide evidence (with a = 0.10), that the mean annual dental expense per employee is less than $500?
How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?
A 62 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 31 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the..
A volcano fills the volume between the graphs z = 0 and z = frac{1}{left( x^{2} + y^{2} right)^{16}}, and outside the cylinder x^{2} + y^{2} = 1. Find the volume of this volcano.
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