H = (8) in G = Z24 H = (3) in G =U(8) %3D %3D H = { (1), (12 3), (13 2) } in A4
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List the left and right cosets of the subgroups in each of the following. What is the index of H in G.
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- What is the general solution for the attached second order equation?Find f using the initial value problemJesaki Inc will sell N units of product after spending $x thousand in advertising, as given by N= 66 x−x2. Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,589. Round to the nearest integer. $
- Obtain a differential equation associated with the primitive Ax^2+By^3=9A cylindrical tank holds 22 liters of water. At time t = 0, two taps are opened simultaneously, the upper tap that feeds the water tank with a constant speed of v1 liters per minute and the lower tap that expels the water from the tank with a constant speed of v2 liters per minute . Suppose that v1 = 11 liters / minute and v2 = 3 liters / minute. If the tank has a capacity of 75 liters, when will the tank be filled?On equation (iv), why is d/dz of 3z^3 is equal to 3z^2, shouldn't it be 9z^2?
- Is it possible to solve for y in this problem? If not, can I just solve for the arbitrary constant at the end?A 100L-capacity tank initially holds 80L of fresh water. A brine solution is poured into the tank at the rate of 4 L/hr, while the well-stirred mixture leaves the tank at the rate of 8 L/hr. If for the first three hours, the solution being poured into the tank contains 2g/L of salt, and for the succeeding hours, the solution being poured in contains 1g/L of salt, find the amount of salt in the tank when the tank starts to overflow.The differential equation in D-notation is