Numerade

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Thus, $ \cos \theta=\frac{\sqrt{3}+1}{(2)(\sqrt{2})} $. Solve for $ \theta $

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Which of the following is not a limitation of shareholder value creation? Stock prices can be highly volatile Microeconomic factors affect stock prices Stock prices can reflect the mood of investors Macroeconomic factors affect stock prices

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The gas phase decomposition of acetic acid at 1189 K proceeds by way of two parallel reactions: (1) CH$_3$COOH $\rightarrow$ CH$_4$ + CO$_2$ (2) CH$_3$COOH $\rightarrow$ CH$_2$CO + H$_2$O k$_1$ = 3.74 s$^{-1}$ k$_2$ = 4.65 s$^{-1}$ What is the percentage yield of the ketene CH$_2$CO obtainable at this temperature after 0.1 s? ? 44.6 ? 31.5 ? 27.7 ? 55.4

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pts) Find $f'(x)$, but do not simplify it. (a) $f(x) = e^{4x} \cos^4(5x)$ (b) $f(x) = \ln(x^6 \tan x)$ (c) $f(x) = \tan^3(\sin(\sqrt{x}))$ (d) $f(x) = e^{x^5} \sin(2x)$

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Use integration by parts to evaluate the integral.\\ $\int 4xe^{7x} dx$\\ If $\int u\ dv = \int 4xe^{7x} dx$, what would be good choices for u and dv?\\ A. u = 7x and dv = 4xdx\\ B. u = 4x and dv = $e^{7x}$dx\\ C. u = 4x and dv = 7xdx\\ D. u = $e^{7x}$ and dv = 4xdx\\ $\int 4xe^{7x} dx = $

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Given the following relations on S = {a, b}: {} {(a, a)} {(a, b)} {(b, a)} {(b, b)} {(a, a), (a, b)} {(a, a), (b, a)} {(a, a), (b, b)} {(a, b), (b, a)} {(a, b), (b, b)} {(b, a), (b, b)} {(a, a), (a, b), (b, a)} {(a, a), (a, b), (b, b)} {(a, a), (b, a), (b, b)} {(a, b), (b, a), (b, b)} {(a, a), (a, b), (b, a), (b, b)} Which ones are: a. reflexive? b. symmetric? c. antisymmetric? d. transitive?

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1. Show that if \frac{d^2u}{dx^2} + A(x)\frac{du}{dx} = 0 for $0 < x < 1$, then $u$ attains its maximum in the interval $0 \le x \le 1$ either at $x = 0$ or at $x = 1$.

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Question 3 (25 Marks) Fig. 3 below shows a full adder diagram. Sum A Bit ? B ? Carry Input Bit C Cin Carry Output Bit Fig. 3 Discuss the THREE (3) differences between the full adder and half adder. a) (C2, CLO3) b) [9 Marks] The following table shows Truth Table for the full adder. Fill the missing blank column: (C2, CLO 3) A B C<sub>in</sub> C<sub>out</sub> ? 0 1 0 1 0 1 0 1 [8 Marks] c) Show the Boolean equations for the Sum Bit and the Carry Output bit (C3, CLO3) [4 Marks] d) Construct a full adder using the combination of AND, XOR, and OR gates. (C3, CLO3) Question 4 (25 Marks) a) Given the equation below: i. W=ABCD+\bar{A}BCD+ABC\bar{D}+ABCD [4 Marks] Show the simplified Boolean equation below by using the K-Map technique. (C3, CLO3) [8 Marks] ii. Sketch the simplified circuit-based result in (ai) (C3,CLO3) [4 Marks] b) Given the equation below: i. Show the simplify the logic expression z= ABC+\bar{A}+ABC by using the Boolean Algebra technique. [8 Marks] ii. Sketch the simplified circuit-based result in (bi) (C3, CLO3) [5 Marks]

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Indigo Ink Supply paid a dividend of $5 last year on its common stock. It is expected that this dividend will grow at a rate of 8.5% for the next five years. After that, the company will settle into a slower growth pattern and plans to pay dividends that will grow at a rate of 3.8% per year. Investors require a return of 11.5% on the stock. a. What will be the dividend paid out for the next six years? (Round your answers to 4 decimal places.) D1 = $ 5.4250 D2 = $ 5.8861 D3 = $ 6.3864 D4 = $ 6.9292 D5 = $ 7.5182 D6 = $ 7.8039 b. What is the intrinsic value of Indigo's stock? (Round your answer to 2 decimal places.) Intrinsic value $ 27.12

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PRACTICE xy Plotting function THREE-DIMENSIONAL PLOTS Create the surface plot and a contour plot of the function Create a surface plot and a contour plot of the function $z = (x - 2)^2 + 2xy + y^2$. Then use subplot to draw the following functions in the same window, with $0 \le t \le 10$. $v(t) = 10e^{(-0.2 + j\pi)t}$

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christopher j.