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1. Evaluate the integral - ∫3dx/x2(x2+25)
2. Determine whether the improper integral converges, and if so evaluate it-
-5∫4 dx/(x+5)1/3
3. Calculate the Taylor polynomials T2(x) and T3(x) centred at x = a for the given function and value of a.
f(x) = 3tanx, a = π/4.
4. Use the appropriate limit was and theorems to determine the limit of the sequences or state that the sequence dicerges.
bn = e2-n2
limn→∞ bn =
5. Compute the surface area of revolution of the given curve about the x-axis over the given interval.
y = 13x2, [0, 4].
Drawing at least one black card when you draw a card from a standard deck 6 times, replacing the card each time you draw so that there are always 52 cards in the deck.
in the august 2005 issue of consumer reports readers suffering from depression reported that alternative treatments
Utilizing malthus method, Suppose that a culture of bacteria has initial population of n=100. If the population doubles every three days
A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?
a coin was randomly drawn from a bag and then replaced. after 300 draws,it was found that 45 pennies, 76 nickles, 92 dimes, and 87 quarters had been drawn. estimate the probability of drawing a quarter.
how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
A target heart rate T that is half a person's maximum heart rate is given by T=110 - 1/2A where A is a person's age.
A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit.
find the least perfect squared number
Given the position vector r(t) = (2t2)i + (1 - 4t2)j. Determine the velocity acceleration and speed at time 1 = 2. Find the distance and displacement over 0 ≤ t ≤ 1.
four organizations sponsored a marathon. the symbols for these organizations were to be arranged on a banners placed
A ship travels due west for 550 km then travels N40 degrees west. (bearing 320) For 700 km. How far is the ship from its staring point?
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