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3x x+2 , if x < -2; If x > -2. (a) Find the limit from the right and the limit from the left of f (x) as x approaches -2. (b) Is it possible to define f (-2) so that f is continuous at x = -2?
Students receive scores rounded to the nearest 10. What is the interval of student scores that lie within one standard deviation of the mean?
laboratory designed a radio telescope with a diameter of 280 feet and a maximum depth of 40 feet. Find the equation of this parabola.
Use the disk method to calculate the volume of the solid shape than will come about as a result of rotating the area bounded by the graphs of y=x^3, y=1, and x=2 about the x-axis.
Suppose that at a certain instant the volume is 590 cubic centimeters and the pressure is 97 kPa and is decreasing at a rate of 13 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
Determine whether the given ordered pair is a solution of the system. Solve each system by substitution method
as you are driving your car on the freeway, your tires are rotating at a rate of 920 revolutions per minute. The diameter of each tire is 24 inches. What is the total feet traveled per minute?
a man has $34,000 to invest. he invests some at 5% and some at 4%. his total annual interest income is %1,545. find the amount he invests at each rate.
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 880 and a standard deviation of 180. If a college requires a student to be in the top 40 % of..
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
a model used for the yield Y of an agriculuteral crop as a function of the notrogen level N in the soil(measured in appropriate units) is Y= kN/1+N^2 where k is a constant. What nitrogen level gives the best yield?
42% of the voters are Republicans and 44% are Democrats. The other 217 are Independents. How many registered voters are there?
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
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