Numerade

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A -2.8 nC charge is on the x -axis at x1 = -7 cm and a 3.0 nC charge is on the x -axis at x2 = 11 cm .

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9) Sheets of charge: A charge @ is uniformly spread over one surface of a very large nonconducting square elastic sheet having sides of length d. At a point P that is 1.25 cm outside the sheet, the magnitude of the electric field due to the sheet is E. If the sheet is now stretched so that its sides have length 2d, what is the magnitude of the electric field at P?A) 4EB) 2E C)ED) E2E) E/410) Gauss's law: A charge of 1.0 \times 10-6 C is located inside a sphere, 1.25 cm from its center.What is the electric flux through the sphere due to this charge?(60 - 8.85 \times 10-12 C2/N - m2)10A) 0.11 N m2/CB) 8.9 N m2/CC) 0.0287 N- m2/CD) It cannot be determined without knowing the radius of the sphere.

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list five necessary factors for the development of a succesful interest group with brief details

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From the following data, C(diamond) + O$_2$(g) $\rightarrow$ CO$_2$(g) H$_2$(g) + $\frac{1}{2}$O$_2$(g) $\rightarrow$ H$_2$O(l) 2C$_2$H$_6$(g) + 7O$_2$(g) $\rightarrow$ 4CO$_2$(g) + 6H$_2$O(l) Calculate the enthalpy change for the reaction below: $\Delta H^\circ_{rxn} = -395.4 \frac{kJ}{mol}$ $\Delta H^\circ_{rxn} = -285.8 \frac{kJ}{mol}$ $\Delta H^\circ_{rxn} = -3120.8 \frac{kJ}{mol}$

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4. A multi-port V6 engine is running rough, and appears to be starved for fuel on two of three cylinders on a bank fire injection system. Adding propane seems to improve the idle and driveability. A cylinder balance test indicates low power contribution from cylinders #1 and #5; further testing proves there aren't any vacuum leaks. Technician A says, "An injector with low resistance in cylinder #3 could cause this problem." Technician B says, "A defective driver could cause this problem." Who is correct? A. A only B. B only C. Both A and B D. Neither A nor B

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GDP = $1500 million, C = $1275 million, Taxes = $75 million, X = $150 million, G = $150 million, IM = $187.5 million 2. Given the following data, show your formula and solve for the Real Interest rate: Nominal r = 5%, inflation = 8%. Assuming a normal banking profit rate = 3%, identify who benefits and who loses from the interest rate condition: Borrowers Lenders

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No errors found.

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2. Rework the convection mass transfer coefficient problem using a single interpolating polynomial of degree at most 5.

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Problem 5: Fractional Knapsack Problem A thief is given the choice of n objects to steal, but only has one knapsack with a capacity of taking M weight. Each object $i$ has weight $w_i$, and profit $p_i$. (a) First, suppose that the objects are divisible (e.g., the thief is in a cheese shop and the items are rolls of cheese that can be cut). For each object $i$, if a fraction $x_i$, $0 \le x_i \le 1$ (taking $x_i = 1$ would be taking the entire object) is placed in the knapsack, then the profit earned is $p_i x_i$. Come up with an efficient greedy algorithm for maximizing the profit of the thief. Prove the correctness and running time. (b) Now, suppose the items cannot be taken fractionally. In other words, the thief can either take an entire item or leave it behind. Suppose we also know the following: the order of these items when sorted by increasing weight is the same as their order when sorted by decreasing value. Give a greedy algorithm to find an optimal solution to this variant of the knapsack problem. Prove the correctness and running time.

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7. For the steady motion defined by $v_x = my$, $v_y = v_z = 0$, where $m$ is a constant: Display the matrices of rectangular Cartesian components of the velocity gradient $L$, the rate of deformation $d$, and spin $w$.

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christopher c.