Numerade

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1. Analyze each function. Determine and specify which rule(s) you will need to differentiate (and in what order). Then, differentiate (showing all work). Clearly identify the use of each rule within your work. (a) $f(t) = t \sin(\tan t)$ (b) $y = \sin(x \tan x)$ (c) $f(\theta) = \cos^4 \theta + \sec(\theta^3)$ (d) $g(x) = \frac{\sin(3x^2)}{(2x+1)^2}$ 2. Let's try a tricky example. (a) Consider the function $y = \cos^4(\sec(\theta^3))$. How many iterations of the chain rule will you need to apply to differentiate? (b) Compute $\frac{d}{d\theta} [\cos^4(\sec(\theta^3))]$. (c) Consider $y = \sqrt{\tan(\sin(\cos(\sec(2x-1)^3)))}$. How many times would you need to use the chain rule to differentiate? (d) Don't actually differentiate this monster, but think about what the derivative would look like. This example provides a demonstration of why we call it the "chain rule". In 1-2 complete sentences. explain why you think we call it the chain rule.

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An ideal LC circuit (R = 0) has an inductor with inductance 0.80 H and a capacitor with ca- pacitance 2.0 μF (1 μF = 1×10−6 F) in series. At a moment in time, the current in the circuit is 0.40 A and the charge on the capacitor is 0.050 C. What is the charge on the capacitor when the current in this circuit is zero?

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Numeric 1 point How many + myob + offspring would you expect to see in these 1000 offspring? 200

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Rolls of foil are 302 mmmm wide and 0.014 mmmm thick. (The density of foil is 2.7 g/cm3g/cm3 .) What maximum length of foil can be made from 1.16 kgkg of foil?

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(Computing the cost of common equity) The common stock for the M&M CorporationM&M Corporation sells for $63.7263.72, and the last dividend paid was $2.642.64. Five years ago the firm paid $2.192.19 per share, and dividends are expected to grow at the same annual rate in the future as they did over the past five years. a. What is the rate of growth in the firm's dividends and the corresponding cost of common equity to the firm using the constant dividend growth rate model? b. M&MM&M's CFO has asked his financial analyst to estimate the firm's cost of common equity using the CAPM as a way of validating the earlier calculations. The risk-free rate of interest is currently 3.93.9 percent, the market risk premium is estimated to be 5.75.7 percent, and M&MM&M's beta is 0.760.76. What is your estimate of the firm's cost of common equity using this method?

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Social networks are typically Oa. characterized by a strong sense of membership Ob. characterized by boundaries defining membership c. "fuzzy" groups made up of people we "know of" rather than those we know well Od. built on primary relationships

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Which of the following demonstrates the share system of corporate stocks? Jeffrey can sell his shares of stock in Gilbert Enterprises to anyone he wants as long as he notifies Gilbert Enterprises before the sale. Jeffrey can sell his shares of stock in Gilbert Enterprises to anyone he wants without the knowledge or permission of Gilbert Enterprises. Jeffrey can only sell his shares of stock in Gilbert Enterprises back to Gilbert Enterprises. Jeffrey can only sell his shares of stock in Gilbert Enterprises to other Gilbert Enterprises shareholders.

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Schiff Company owns 100% of the outstanding common stock of the Viel Company. During 20X1, Schiff sold merchandise to Viel that Viel, in turn, sold to unrelated firms. There were no such goods in Viel's ending inventory. However, some of the intercompany purchases from Schiff had not yet been paid. Which of the following amounts will be incorrect in the consolidated statements if no adjustments are made?

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Which of the following are typically completed by the metacarpal/phalangeal joint (knuckles) - select all that apply: adduction hyperextension rotation extension abduction

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Construct a truth table for the given statement. $(\neg q \land p) \lor (p \land q)$ A. $\begin{array}{|c|c|c|} \hline p & q & (\neg q \land p) \lor (p \land q) \\ \hline T & T & F \\ T & F & F \\ F & T & F \\ F & F & T \\ \hline \end{array}$ B. $\begin{array}{|c|c|c|} \hline p & q & (\neg q \land p) \lor (p \land q) \\ \hline T & T & T \\ T & F & F \\ F & T & F \\ F & F & F \\ \hline \end{array}$ C. $\begin{array}{|c|c|c|} \hline p & q & (\neg q \land p) \lor (p \land q) \\ \hline T & T & T \\ T & F & T \\ F & T & F \\ F & F & F \\ \hline \end{array}$ D. $\begin{array}{|c|c|c|} \hline p & q & (\neg q \land p) \lor (p \land q) \\ \hline T & T & F \\ T & F & T \\ F & T & F \\ F & F & T \\ \hline \end{array}$

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