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A. Use the comparison test to determine the convergence or divergence of the series
4 + (1/5) + 0.3 + 1/ (3+√2) + 1/ (9+√3) + 1/ (27+√4) + 1/ (81+√5) +... , showing all work.
B. Use the nth term test to determine the convergence or divergence of the series, showing all work.
j=1Σ∞ j2 +1/j2
C. Use the integral test to determine the convergence or divergence of the series, showing all work.
k=1Σ∞1/(3k+1)
D. Use the alternating series test to show the convergence or divergence of the series, showing all work.
i=1Σ∞ (-1)i+1(i+3/i2+10)
E. Use the root test to determine the convergence or divergence of the series, showing all work.
n=1Σ∞100n/en
Find the value of x & y that solve the following system of equations:
Find the volume of the tank. Find the depth of the water in the tank if it is 3/4 full (by volume) and the truck is on level ground.
A public storage company charges new customers an initial fee of $10.50. Each month of storage costs $13.50.
Seven Marching Bands will perform at a competition. The order of the performances is determined at random. What is the probability that the bands will perform in alphabetical order by school name?
Find the rate of change of T with respect to time at that instant if n = 10 mol. What are the units of this rate of change?
Determine the probability of each option being preferred by the company's cardholders.
A plane flies in an upward, clockwise, circular spiral at a constant speed; the radius of the spiral is 10 miles. Write an vector equation describing the position of the plane over time.
If a polygon has the sum of its interior angles less than 2015 degrees and If a polygon has the sum of its interior angles less than 2015 degrees.
sides of a square are lengthened by 6cm the area becomes 225cm^2 what is the length of the original side of the square.
Prove that the mapping a(g) = g^-1 for all g in G is an automorphism if and only if G is Abelian. An isomorphism from a group G onto itself is called an automorphism of G.
When the temperture stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 70 cubic inches of gas at a pressure of 14 pounds per square inch
tuesday,848 miles on mwednesday, and 761 miles on thursday.what was the average number of miles she traveled per day?(Hint:add,then divide the total by the number of days
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