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Please evaluate the following integral using trigonometric substitution. Please show all steps in the solution. Thank you.
Integral sqrt(y^2 - 25) dy/y^3 y > 5.
Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.
How many ways are there to deal hands of seven cards to each of five players from a standard deck of 52 cards? A bagel show has onion, poppy seed, egg, salty, pumpernickel, sesame seed, raisin, and plain bagels. How many ways are there to choose:
To check whether the representation of input elements does not affect the running time of an algorithm
Explain why an Abelianization fo G is unique up to isomorphism. Construct an Abelianization of G as follows: Let G' be the subgroup fo G generated by all commutators [x,y] = xyz^-1 y^-1, where x, y are real members of G.
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Normal subgroups, Second Theorem of Isomorphism, Conjugates and Cyclic Groups
Estimate the galois group.
Repeat the procedure making a second graph for the third-order rational function (e.g., x3). For each of the two graphs, describe how changes in coefficients and constants change the behavior of the function.
How many bit strings of length 7 are there? Explain. How many bit strings of length 7 are there which begin with a 0 and end with a 1? Explain. How many bit strings of length 7 is there that contain an even number of ones? Explain.
Solve each linear equation. Show your work and check. Solve each equation by first eliminating the decimal numbers.
The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.
The hypothesized developmental differences
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