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Question: (For students who have studied calculus)
a. Explain how the equation below follows from the binomial theorem:
b. Write the formula obtained by taking the derivative of both sides of the equation in part (a) with respect to x.
c. Use the result of part (b) to derive the formulas below.
A football player runs for 1058 yards in 2000 and for 980 yards in 2004. Find the average rate of change in his performance.
Find the slope of the tangent line to the curve at the point (0, 0). Your answer will have b in it. Find the equation of the tangent line to the curve at the point (0, 0). Your answer will have b in it.
A farmer wants to enclose a rectangular area with fencing and then divide it into four pens with fencing parallel to one side of the rectangle. She has 600 feet of fencing. What is the largest possible total area of the four pens?
Maximize f = 2x + 6y subject tox + y ≤ 72x + y ≤ 12x + 3y ≤ 15
the total mass of 1 packet of sugar and 1 packet of flour is 230g .the total mass of 1 packet of sugar and 1 packet of
a merchant has foffee worth $20 a pound that she wishes to mix with 90lbs of coffee worth $60 a pound to get a mixture worth $50 a pound. how many pounds of the $20 coffee should be used?
Find a linear function f giving the projected boardings (in billions) in year t, where t = 0 corresponds to 2012. What is the projected annual rate of growth of boardings between 2012 and 2032?
draw a gantt chart that shows how the following five classes can be scheduled into two classrooms a and bnbsp business
MANAGEMENT DECISIONS In how many ways can a supermarket chain select 3 out of 12 possible sites for the construction of new supermarkets?
Marijuana Use According to the Statistical Abstract of the United States, about 17% of all 18- to 25-year-olds are current marijuana users. What is the probability that four randomly selected 18- to 25-year-olds are all marijuana users?
Sue exchanges a sport utility vehicle (adjusted basis of $16,000l fair market value of $19,500) for cash of $2,000 and a pickup truck.
What is the measure of each arc? What type of figure results when A, B, and C are joined by segments?
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