Numerade

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2. Find the solution $u = u(x, t)$ to the heat equation $$ \frac{\partial u}{\partial t} = k \frac{\partial^2 u}{\partial x^2} $$ where $u$ is subject to the following boundary and initial conditions $$ u(0, t) = u(1, t), \quad u_x(0, t) = u_x(1, t) $$ $$ u(x, 0) = 1 - x $$

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Q. 11. A Company purchased Assets of the book value of $ ? 12,00,000 $ and Liabifities of $ ? 2,20,000 $ of another Company for a pirchase consideration of $ ?, 40,000 $. The purchase consideration was discharged by the issue of debentures of ? 500 èach at a discount of $ 6 \% $ Pass journal entries in the books of purchasing company. It was decided to write off the entire amount of discount on issue of debentures. Ans. Capital Reserve ? 40,000 ; Debentures issued : 2,000 Debentures of ?500 each Discount on Issue of Debentures $ ? 60,000 $; Out of this amount $ ? 40,000 $ will be written off

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the four business cycle phases, measuring economic growth by real GDP, and real GDP per capita calculation

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2. a) (5 Points) Give the definition of stretching b) (15 Points) What should be the value of \"a\" for the vectors $v_1 = (7a,2,-5)$, $v_2 = (2,3,5)$, $v_3 = (3,-1,a)$ to stretch 3-fold? c) (20 Points) Using the definition of stretching, find the set stretched by the vectors $v_1 = (1, -1,2)$, $v_2 = (2,3,-1)$ and interpret it geometrically.

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Do the income and substitution effects have the same impact on labor market work in the two models?

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Question 29 A structure in C++ is a user defined data type. O True O False Question 30 The components (fields) of a structure MUST be of the same type. O True O False

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3.4 If the source has strength of 4 m³/s, evaluate the position coordinates of the source and sink if the stream function at P(5,4) is 0.35 m²/s (5 marks)

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3-2 How would you choose whether to use a brushed vs. brushless DC motor to build a Quadcopter? Which motor would you choose?

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Fill in the blanks to complete the equation that describes the diagram.

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Evaluate the integral $\int (2x+7)(x^2+7x+8)^3 dx$ by making the substitution $u = x^2 + 7x + 8$. $\boxed{} + C$ NOTE: Your answer should be in terms of $x$ and not $u$.

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cristian j.