Numerade

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(1 point) The graph shows the solution to the initial value problem y'(t) = mt, y(to) = -4. Find the following. m = 5/2 to = 0 help (numbers) help (numbers) y(t) = (5/2t^2)-4 help (formulas) -4 1 t

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jane has 8 sweets and her brother sam has 6 sweets.how many sweets does jane and her brother have altogether?

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Apple assembles most iPhones in China because of the lower wages earned by Chinese workers and their experience in electronics manufacturing, which reduces the cost of assembling iPhones. This is an example of Apple reacting to which of the three economic ideas?

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f'(x) = (4x^3)/8 - 2 f'(-2) = (4(-2)^3)/8 - 2

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The following problems refer to the turbine blade drawing below: 19. The turbine blade has inherent variation due to this A. Machining processes B. Casting process C. Placement of datum reference frame D. Placement of datum targets 20. Those datum targets define line contact A. X1, X2 and X3 B. Y1, Y2 and Z1 C. X1, X2, Y1 and Y2 D. X3 and Z1 21. Those datum targets define point contact A. X1, X2 and X3 B. Y1, Y2 and Z1 C. X1, X2, Y1 and Y2 D. X3 and Z1 22. Datum target lines and datum target points are established on this location with respect to the blade surfaces A. On the blade surfaces B. Away from the surfaces but inside the part C. Away from the surfaces and outside the part D. Any of the above 23. The datum targets in the drawing were selected based on this: A. The assembly of the turbine blade with the main rotor B. The inspection process of the blade C. The holding fixture in machining and casting D. None of the above 24. The fixture defined by the datum targets above is of this shape: A. T B. L C. I D. None of the above

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In a certain cylindrical region of space with radius R there is a time-varying homogenous field parallel to the the z-axis, which is also the axis of the cylinder. For example, you can assume that the field oscillates in time at a fixed frequency. It is therefore proportional to $cos(\omega t)$ Assume that the field is either an electric field $E(t)$ or a magnetic field $B(t)$. In each case, describe the time- and space-dependence of the magnitude and direction of the field that is created inside and outside the cylinder. Use $r$ to indicate the distance from the axis of the cylinder. For a cylindrical an electric field $E(t)$: 1. Derive an expression for $B(r, t)$ for $r < R$. 2. Derive an expression for $B(r, t)$ for $r > R$. For a cylindrical magnetic field $B(t)$: 3. Derive an expression for $E(r, t)$ for $r < R$. 4. Derive an expression for $E(r, t)$ for $r > R$.

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(1 point) Consider the integral $ \int_5^7 \left( \frac{2}{x} + 2 \right) dx $ (a) Approximate this definite integral using four rectangles whose heights are computed from the graph starting at $ x = 5 $ and spaced evenly across the interval. $ \int_5^7 \left( \frac{2}{x} + 2 \right) dx \approx $

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Question 1 [50 marks] a) Show and label the processes of an ideal Otto cycle on a T-s diagram. How does the performance of an ideal Otto cycle change with the compression ratio of the engine and the specific heat ratio of the working fluid? b) Explain \"mean effective pressure\" and what and how is it used for? c) An air-standard Diesel cycle has a compression ratio of 18 and a cutoff ratio of 2. The pressure and temperature of the air at the beginning of the compression process are 100 kPa and 27°C respectively. Accounting for the variation of specific heats with temperature, (i) Show the cycle on a P-v diagram and determine; (ii) The temperature after the heat addition process. (iii) The thermal efficiency. (iv) The mean effective pressure. Question 2 [50 Marks]

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What are the indices for the crystallographic plane shown above?

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1) (12 points) Consider the following incremental model for a transmission line with losses. At 5.8GHz, find: 20\/m 250nH\/m 0.5mS\/m 100pF\/m $\Delta x$ (a) Propagation constant ($\gamma$), attenuation constant ($\alpha$), and phase constant ($\beta$) (b) Attenuation constant in dB/m (c) Propagation velocity ($v$)

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david s.