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sandra barrett

sandra b.

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Find the distance between the points. (Round your answer to two decimal places.) (9.7, −2.1), (−3.9, 8.3)

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Find a unit vector having the same direction as the given vector. (:3,9:)-i+j What am i doing wrong it keeps marking wrong

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Karl Marx lists a number of things under Forces of Production. Which one of the following is one of them? Question 4 options: Labor The raw material Money, machines, and infrastructure All of the above

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Which of the following is the correct order of boiling points for $KNO_3$, $CH_3OH$, $C_2H_6$, $Ne$? Answer a. $C_2H_6 < Ne < CH_3OH < KNO_3$ b. $Ne < C_2H_6 < KNO_3 < CH_3OH$ c. $Ne < C_2H_6 < CH_3OH < KNO_3$ d. $Ne < CH_3OH < C_2H_6 < KNO_3$ e. $KNO_3 < CH_3OH < C_2H_6 < Ne$

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Evaluate the limit:\\ $\lim_{x \to 2} \frac{4x - 8}{x^2 + 2x - 8} = $

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If T(t0) = <2, 3, 4>, then which of the following planes could be the osculating plane to r(t) at t0? a. 3x + y + z = 2 b. 2x - y - z = 0 c. x + 2y - 2z = 7 d. 3x + 4y - z = 8 e. x + y + z = 5

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Given the system information below with zero initial conditions, solve for x(t) using forward differencing method where u(t) = sin(t) $H(s) = \frac{X(s)}{U(s)} = \frac{(s+4)}{s(s^2+5s+2)}$, t ? [0,20sec], dt = 0.01sec • Derive the iterative equation using FD • Develop a complete Matlab script that solves for x(t) and plot it against time. Include all the labels and units.

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(2) Given that the production function for a firm is: $\Phi(z) = [\alpha_1 z_1^{-1} + \alpha_2 z_2^{-1} + \alpha_3 z_3^{-1} + \alpha_4 z_4^{-1}]^{-1}$ where $z_i$ denotes production input $i$ and $\alpha_i$ denotes a parameter for $i = 1, \dots, 4$. (a) Sketch the long-run marginal and average cost curves and briefly comment on their form. (b) If input 3 and input 4 are both fixed in the short-run then derive the short-run cost function as well as the short-run marginal and average cost functions and briefly comment on them. (c) Derive the short-run supply function for the firm and briefly comment on it. (d) Calculate the short-run elasticity of supply for the firm and briefly comment on it.

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6. How does the power lost to friction change when the load is held constant and engine speed increased? There is no more power lost when engine speed is increased 7. What effect does advancing the inlet camshaft have on the air expenditure curve at low and high engine speeds respectively? 8. List two advantages of a two stroke cycle engine over a four stroke cycle engine. -Fuel efficiency -Cheaper

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d) (4 points) Sketch a picture to graphically add the two tension vectors produced by the tugboats so that the resultant tension applied to the barge is down the canal (in the +x direction). e) (4 points) In the picture above, if Tugboat A generates 4000lb tension in Line 1 and Tugboat C generates 6000lb tension in Line 2 with angle $\alpha$ = 19.5°, then calculate the magnitude of the resultant force using Law of Cosines.

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