For each n E N, let an be the number of permuations Sn whose cube is the identity permutation. Prove combinatorially that An+3 = an+2 + (n = 2)(n+1)an for every n E N.
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- If the matrix 3 a is singular. Find the value of a.Anation with fixed quantities of resources is able to produce any of the following combinations of carpet and carpet looms: Yards of Carpet (Millions) Carpet Looms (Thousands) 75 60 20 45 35 30 45 15 50 50 These figures assume that a certain number of previously produced looms are available in the current period for producing carpet. To answer this question, assume carpet looms is on the y-axis and yards of carpet is on the x-ais The plot of these points that make up the PPF has a vertical intercept of and a horizontal intercept of This PPF would be (Enter your responses as a wvhole number) bowed out a straight lineFind f'(x). T(x) = 2x° (x* - 2) 5 f'(x) =O
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- pls solve this ques in 10-15 minutes I'll give you multiple upvotes.243 1 2 1 10 5 6 find the cofactors of the matrixWindies Cricket manufactures Windies supporter jerseys. The quantity q, of thesejerseys demanded weekly is related to the wholesale price per jersey p, by thefollowing equation:? = −0.006? + 15The weekly total cost incurred by Windies Cricket for producing q jerseys is:?(?) = 38? − 0.02?2 + 30,000a. Determine an expression to represent the weekly Revenue functionb. Determine an expression to represent the weekly Profit function.c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.d. Will Windies Cricket record a loss or profit if they were to produce and sell 2450jerseys?e. If Windies Cricket wishes to maintain a total cost less than $42,000.00, whatrange(s) of Windies jerseys should be produced. f. Calculate the equilibrium price and quantity for Windies jerseys.
- The first order, and the second order, partial derivatives of the following function are, respectively z = r°y² + 15ye* Select one: = 2r*y O a. 2x3 + 15e" and Ob. 3x + 15e* and 2x * = 2y + 15e" and = 2x Oc. Od. = 2x®y+ 15e* and * = 3.x?y+ 15e" and 6ry e. Clear my choiceHi, could you help me solve 1-1.3.?How did you calculate the solution of (i)?