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francisco javier hodges

francisco javier h.

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Suppose that a car traveling to the east begins to slow down as it approaches a traffic light. Which is true? The acceleration is toward the west. Since the car is slowing down, its acceleration must be negative. The acceleration is toward the east. The acceleration is zero.

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(a) A solar-powered Stirling engine is designed to operate between a solar collector at 500 K and ambient air at 300 K. (i) Explain why the actual efficiency of the Stirling engine is always less than the Carnot efficiency. [2 marks] (ii) If the Stirling engine produces 150 kW of power, and the actual thermal efficiency is 60% of the maximum possible efficiency, calculate the rate of heat input (in kW) required for the engine. [4 marks] (b) A data center requires a cooling system to maintain the equipment at 20°C while rejecting heat to the ambient air at 35°C. A vapor-compression refrigeration cycle is employed, but due to limitations, the coefficient of performance (COP) achieved is only 70% of the Carnot COP. (i) If the cooling system removes heat from the data center at a rate of 200 kW, calculate the actual power input required to operate the cooling system. [5 marks] (ii) Evaluate how the performance of the refrigeration system would change if the ambient temperature increased to 40°C due to a heatwave. [4 marks]

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Thomas Reid thinks that John Locke's view of personal identity implies a contradiction. O True O False

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A hawk flying at 15m/s at an altitude of 200 m accidentally drops its prey. The parabolic trajectory of the falling prey is described by the equation \(y = 200 - \frac{x^2}{45}\) until it hits the ground, where y is its height above the ground and x is the horizontal distance traveled in meters. Calculate the distance traveled by the prey

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If you have many new producers entering the market each year what is typical of the price of the product

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f(x) = \frac{1}{\pi} \int_{0}^{\infty} [A(\alpha) \cos \alpha x + B(\alpha) \sin \alpha x]d\alpha \\ \\ f(x) = 0, \quad |x| \le 0 \\ f(x) = e^{-x}, \quad |x| \ge 0 \\ Express A(\alpha) and B(\alpha).

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ended December 31, 2019. E 7-6 Parent purchases subsidiary bonds Pat Corporation owns a 70 percent interest in Son Corporation acquired several years ago at book value equal to fair value. On January 1, 2011, Son had outstanding \$500,000 of 9 percent bonds with a book value of \$495,000. On Janu- ary 2, 2011, Pat purchased \$250,000 of Son's 9 percent bonds for \$251,500. The bonds are due on January 1, 2015, and pay interest on January 1 and July 1. REQUIRED 1. Determine the gain or loss on the constructive retirement of Son's bonds. 2. Son reports net income of \$7,000 for 2011. Determine Pat's income from Son.

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3. The graph of \(f\) is shown in the figure at the right. If \(g(x) = \int_a^x f(t)dt\), for what value of \(x\) does \(g(x)\) have a maximum? (A) \(a\) (B) \(b\) (C) \(c\) (D) \(d\) (E) It cannot be determined from the information given. 4. The position of an object attached to a spring is given by \(y(t) = \frac{1}{6}cos(5t) - \frac{1}{4}sin(5t)\), where \(t\) is time in seconds. In the first 4 seconds, how many times is the velocity of the object equal to 0? (A) Zero (B) Three (C) Five (D) Six (E) Seven 5. The graph of a piecewise-linear function \(f\), for \(-1 \le x \le 4\), is shown at the right. What is the value of \(\int_{-1}^4 f(x)dx\)? (A) 1 (B) 2.5 (C) 4 (D) 5.5 (E) 8

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Q4: (25) Marks Given $x_a(t)$ with CTFT shown below: 1 a) Plot the Fourier transform of $x_a(t)$ for $T_s = \frac{1}{8000}$ sec. b) Plot the DTFT of $x[n] = x_a(\frac{n}{8000})$, $n = 0, \pm 1, \pm 2, \dots$

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(Extend MyPoint) In Programming Exercise 9.4, the MyPoint class was created to model a point in a two-dimensional plane. The MyPoint class has the properties x and y that represent x- and y-coordinates, two getter functions for x and y, and the function for returning the distance between two points. Define a class named ThreeDPoint to model a point in a three-dimensional space. Let ThreeDPoint be derived from MyPoint with the following additional features: - A data field named z that represents the z-coordinate. - A no-arg constructor that constructs a point with coordinates (0, 0, 0). - A constructor that constructs a point with three specified coordinates. - A constant getter function that returns the z value. - A constant distance (const MyPoint&) function to return the distance between this point and the other point in the three-dimensional space. Implement the class. Write a test program that creates two points (0, 0, 0) and (10, 30, 25.5) and displays the distance between them. Use the code from http://lin

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