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javier warner

javier w.

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1.11 Solve the following quadratic equation in terms of $x$: $x^2 + 7x - 8 = 0$ A. $x = 1$ or $x = 8$ B. $x = 1$ or $x = 8$ C. $x = 1$ or $x = -8$ D. $x = -1$ or $x = 8$ SECTION B [20 marks] Question 2 Simplify the following algebraic expression and show all your workings: $\frac{12x^2 - 4x}{x^2 - 9} \times \frac{x - 3}{x}$

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Three pithballs are suspended from thin threads. Various objects are then rubbed against other objects (nylon against silk, glass against polyester, etc.) and each of the pithballs is charged by touching them with one of these objects. In one set of experiments, it is found that pithballs 1 and 2 repel each other and that pithballs 2 and 3 repel each other. From this we can conclude that ? all three carry the charges of the same sign ? one of the objects carries no charge. ? 1 and 3 carry charges of equal sign and opposite to the sign of 2 ? 1 and 3 carry charges of opposite sign. ? all charges are positive.

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Consider x = h(y, z) as a parametrized surface in the natural way. Write the equation of the tangent plane to the surface at the point (3, 3, -4) given that $$\frac{\partial h}{\partial y}(3,-4)=5$$ and $$\frac{\partial h}{\partial z}(3,-4)=5.$$

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Which of the following answer choices related to the dot product of the two vectors is not correct? Select one: a. A->⋅B->=AxBx+AyBy b. Ax, Bx, Ay, and By are all scalar values. c. The values Ax, Bx, Ay, and By are all greater than 0. d. The angle between the two vectors can be defined as \theta and is less than 90∘ .

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Question 16 A population is ________. ? a group of individuals of a single species that live and interact in one area ? a group of cells that have similar function ? the sum of all individuals of a species in all locations ? a group of individuals of several interacting species that live in one area ? a group of individuals of several interacting species that interact in multiple ecosystems 5 pts

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Consider a laminated plate with layup [0$_2$/90$_2$]$_{s}$ made of orthotropic laminas with moduli $E_1 = 80$ GPa and $E_2 = 2$ GPa, Poisson's ratio $ u_{12} = 0.25$ and each with thickness $t = 1$ mm. Compute the curvature changes due to moments $M_x = 50$ Nm/m and $M_y = 0$.

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2. How long would it take for the ambulance to reach the airport if the ambulance travels at an average speed of 80 km/hr. Requirements: 1. Formulate an efficient algorithm to perform the above task. 2. Provide a description about the design strategy used 3. Analyse the time complexity of the algorithm and show that it is an "efficient" one. 4. Implement the above problem statement using programming langugage Sample Input: Input should be taken in through a file called "inputPS3.txt" which has the fixed format mentioned below using the "/" as a field separator: <node 1>/<node 2> / <distance in km> Ex: a/b/5 b/c/4 a/d/7 Hospital Node: a Airport Node: o Note that the input data shown here is only for understanding and testing, the actual file used for evaluation will be different Sample Output: Shortest route from the hospital 'a' to reach the airport 'o' is [ a, b, c, j, k, m, o] and it has minimum travel distance 23km it will take 17:15 minutes for the ambulance to reach the airport. Display the output in outputPS3.txt. 2. Deliverables • Word document designPS1_<group id>.docx detailing your algorithm design and time complexity of the algorithm. • inputPS3.txt file used for testing • outputPS3.txt file generated while testing

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R134A 100 kg/h 0.925 MPa 25°C 1 R134 A 0.14 MPa 2 R-1270, 35°C +3 heat exchanger P=300 kPa R134 A 5 +4 R-1270 18°C

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Given $f(x, y) = 5e^{3x} \sin(3y)$ \\ $\nabla f(0, \frac{\pi}{2}) = $

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Question1 [8 marks] Suppose that the error in the reaction temperature, in $^\circ$C, for a controlled laboratory is continuous random variable X having the probability density function is given by $f(x) = \begin{cases} Kx^2 & -1 < X < 2 \\ 0 & \text{elsewhere} \end{cases}$ a) Find the value of K. [3 marks] b) Find the distribution function of x [3marks] c) Find P(0 < X < 1) [2marks]

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