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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
Problem 1: Let f(x) = 5x2 - 7x + 8 and g(x) = 1 - 3x. a. Find the difference function (f - g)(x) and simplify the result. Show work.
It takes a force of 21,714 lb to compress a coil spring assembly on a New York City Transit Authority subway car from its free height of 8in. to its fully compressed height of in.
Use Limit Laws to find the limit. Graph each function before you submit the solution to check if the graph supports your conclusion.
A box contains four balls, numbered 1 through 4. One ball is selected at random from this box. Let X1 = 1 if ball 1 or ball 2 is drawn
Let x and y be points on the sphere. find a homeomorphism of the sphere with itself which takes x to y. Work the same problem with the sphere replaced by the plane and by the torus.
Data and Probability, 1. How many variations in first-, second-, and third-place finishes are possible in a 100-yd dash with 6 runners? In a Chinese restaurant, the menu lists 8 items in Column A and 6 items in column B. To order a dinner, the dine..
create a 3x3 elementary matrix that replaces row 2 with row 2 minus half of row 1 - write the LU factorization of the system. use b=Lc and c=Ux to solve the system.
Use implicit differentiation to find the slope of the tangent line to the curve [y}/{x - 4 y} = x^{3} - 5 at the point ( 1, {-4}/{-15} ). Find m=?
Find the horizontal and vertical asymptotes of the graph. Find the horizontal and vertical asymptotes of the graph of the function
A significant difference in the average amount
If the loan is to be amortized over 30 years, what monthly payment will the Taylor's be required to make? (Round your answers to the nearest cent.)
Find the derivation of ex ln(x2) + 4-x. Find the slop of the curve 2(x+y)2/3 = y at the point (4, 4). Find the second derivative y'' of x2 + y2 = 10
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