8. Show that the function f(x) has an inverse and calculate (f-¹) '() if f(x) = e4- = X
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please note needed to calculate inverse of f prime at x = 1/2.
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- Find the Inverse Laplace Transform of Y(s) = 12 (s+5)*For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( ) Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( ) Optimal Solution Objective Function Value - Variable. Constraint X1 X2 X1 X2 X3 X4 X3 X4 1 2 Variable 1 2 3 3 4 OBJECTIVE COEFFICIENT RANGES 4 Constraint RIGHT HAND SIDE RANGES Value Slack/Surplus Lover Limit 25.000 425.000 150.000 0.000 84.000 50.000 No Lover Linit No Lover Linit Lover Limit 48450.000 0.000 25.000 0.000 0.000 4950.000 1775.000 515.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Linit 90.000 87.000 105.000 Upper Linit 5850.000 No Upper Limit 603.571 200.000Maximize z=4x+5y Subject to: x+y<or=4 x-y>or=-2 x<or=3 x>or=0, y>or=0
- Solve (xex + y) dx − x dy = 0The dependent variable should precede the independent variable. * True FalseD. Given the following data on the number of CitChat brand prepaid card (in units) that has been sold in the first eight months in a telecommunication shop in Jitra, Kedah: Bulan/Month Iualan/sales 785 2 600 3 578 4 590 5 770 6 805 7 710 8 900 Compute a 3-months moving average for the period from month 5 until 8 (of the next year).
- With odd parity check, the parity bit of the character "10001100" is: * 0 or 1 O O and 1Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij). (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]I need typing clear urjent no chatgpt use i will give 5 upvotes