Numerade

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Identify the choice that best completes the statement or answers the question. 1. If $$f(x) = \sin^2(x)$$, find $$f'\left(\frac{\pi}{4}\right)$$. a. 0 b. 1 c. $$\frac{1}{2}$$ d. $$\frac{2}{\sqrt{2}}$$ 2. If $$f(x) = \frac{\sin x}{\cos x}$$, find $$f'\left(\frac{\pi}{4}\right)$$. a. 1 b. -2 c. $$\frac{1}{\sqrt{2}}$$ d. 2 3. Find the slope of the tangent to the curve $$y = 2 \sin^3 x$$ at $$x = \frac{\pi}{4}$$. a. $$\frac{1}{\sqrt{2}}$$ b. $$\frac{3}{\sqrt{2}}$$ c. -1 d. $$-\frac{3}{\sqrt{2}}$$

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Perry, F. L. (2017). Research in applied linguistics: Becoming a discerning consumer (3rd ed.). Routledge: New York

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lowest, is shown in the accompanying description and example of each hand. Use the table to answer Exercises 35-40. Example Hand Description Straight 5 cards in sequence A 2 3 4 5 flush in the same suit K K K K 2 Four of a kind 4 cards of the same rank and any other card 3 3 3 7 7 Full 3 of a kind and a house pair Flush 5 cards of the same 5 6 9 J K suit that are not all in sequence Straight 5 cards in sequence 10 J Q K A but not all of the same suit Three of a kind 3 cards of the same rank and 2 unmatched cards K K K 2 4 Two pair 2 cards of the same rank and 2 cards of any other rank with an unmatched card K K 2 2 4 One pair 2 cards of the same rank and 3 unmatched cards K K 5 2 4 If a 5-card poker hand is dealt from a well-shuffled deck of 52 cards, what is the probability of being dealt the given hand?

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Name the layer of skin at the pointer on the right a. Dermis a. Hypodermis a. Hyperdermis a. Epidermis

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Find $f'(x)$. You may use shortcut rules. $f(x) = x^{1/7} - 4$ $f'(x) = $

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Question 2: A 36 kVA, 2200/220 V step-down transformer has high voltage and low voltage side winding resistances of 10 $\Omega$ and 0.3 $\Omega$ respectively. The leakage reactance referred to the high voltage side is 25 $\Omega$. The magnetizing impedance is 8 k$\Omega$, and the resistance corresponding to the core loss is 12 k$\Omega$, both are referred to the high voltage side. (i) Determine the voltage regulation of the transformer at half load when the power factor is 0.8 lagging, and 0.8 leading power factor. (ii) Determine the efficiency at 25% load at 0.75 power factor lagging.

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\int x^6 e^{-x^7} dx. (a) Indicate a substitution u, and determine du. (b) Determine the integral, based on your u substitution from part (a). Simplify where possible, and remember to include " + C" at the end.

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Write the polynomial function that has the roots: -(1)/(2), 3, 5

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Question 12 Thompson Company incurs overhead costs each year in its three main departments, machining ($600,000), inspections ($300,000) and packing ($100,000). Information about Windsor's two products is as follows: \begin{tabular}{|l|r|r|r|} \hline & Product X & Product Y & Total \\ \hline Machining hours & 1,800 & 2,200 & 4,000 \\ Inspections & 300 & 300 & 600 \\ Orders packed & 700 & 300 & 1,000 \\ Direct labor hours & 1,750 & 1,750 & 3,500 \\ \hline \end{tabular} Using ABC, how much overhead is assigned to Product X this year?

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5. (11 points) What is the profit on $1 million invested in triangular arbitrage if direct quotes for UK pound and euro in New York are $1.5836-41 and $1.3422-25, while direct quote for pound in Berlin is €1.0146-50 8. (4 points) What is the annualized nominal interest rate in Saudi Arabia implied by interest rate parity if current direct spot and 45-day forward rates in New York for Riyal are $0.2667 and $0.2665, respectively, minal interest rate in US is 4.81%?

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william s.