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1) Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?
2) Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
Two cars leave an intersection at the same time, one traveling north and the other traveling east. Some time later, they are 20 miles apart, and the car going east has traveled 4 miles further than the other car.
Use chain rule to verify that every function of the form. Then use this fact to find the solution which also satisfies the initial conditions:
for the past three years the manager of the math shoppe has observed that the stores revenue reaches a high of about $40,000 each december and a low of about 10,000 each june. a graph of the revenue over this three year period seems to indicate a ..
Use shells to find the volume of the solid formed by revolving the region bounded by the x-axis and y=4x-x^2 about the y-axis. Sketch the area. Include a typical rectangle.
suppose we chose at random from the population a large number of hroups of nine 17-year olds each. In what percentage of the groups would the group mean cholesterol value be between 188 and 189 mg/dLi?
mrs. cleaver mixes 1.24 liters of red paint with 3 times as much blue paint to make purple paint. she pours the paint
Determine an equation that models the circular ripple 12 s after the stone is dropped.
A high school graduating class is made up of 360 students. There are 118 more girls than boys . How many boys are in the class?
Find the sum and enter it in the box below. Enter your answer as a polynomial in descending order, and use the caret (^) for exponents. For example, you would write as 4x^2.
Probability- Different Colours of Marbles, A jar contains 3 white marbles, 2 yellow marbles, 4 red marbles, and 5 blue marbles. Two marbles are picked at random. What is the probability that
A particle starts at the point (-4, 0), moves along the x-axis to (4, 0), and then along the semicircle y = √16 - x2 to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = ‹9x, x3 + 3xy2›.
a kite 100 feet above the ground moves horizontally at a speed of 8 feet per second. At what rate is the strong being let out when 200 feet of string has been let out.
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