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Prove that if f is differentiable at a and f(a) 6= 0, then |f| is also differentiable at a. Give an example to show why the assumption f(a) 6= 0 is necessary.
Carolyn and kim are selling lemonade this fall. It costs $0.10 to make each cup of lemonade. They are going to sell each cup of lemonade for $0.30. What is the least number of cups of lemonade they need to sell in order to collect $10.00 more than..
One hundred college students were surveyed after voting in an election involving a Democrat and a Republican. Sixty-six were first-year students, 67 voted Democratic, and 12 were non-first-year students who voted Republican. How many first-year st..
Demand for vacuum cleaners remains constant through the year.
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Rectangular trench is to be dug which is to be 240 ft long, 90 ft wide and 9 ft deep. A large dumb truck can carry 20 cubic yards in a load. How many truck loads will be required to remove
a norman window has the shape of a rectangle surmounted by a semicirlce of diameter equal to the width of the rectangle. if the perimeter of the window is 20 feet, what dimensions will admit the most light?
A bus traveled at an average rate of 50 miles per hour then reduced its average rate to 40 miles per hour for the rest of the trip. If the 220-mile trip took 5 hours, determine how long the bus traveled at each rate.
fifteen countries were randomly selected from the world factbook 2004 list of world countries and the infant mortality
the regular price of a suit is 99. the suit is on sale for 33 13 off. find the sale price. 2. dara borrowed 3000. she
find the maximum height of ball using given equation.suppose charlie o brian hits a baseball straight upward at 150
a teacher put her students into groups of 5. each group had 3 girls. if she has 25 students how many girls and how many
a twin-engine aircraft can fly 1050 miles from city a to city b in 5 hours with the wind and make the return trip in 7 hours against the wind. What is the speed of the wind?
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