Numerade

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Calculate the change in position between each successive time point for x and y positions using the equations: Δx=x2−x1 Δy=y2−y1

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Many people probably think that those who are good at math always do exact calculations, but estimation is actually a really useful tool, especially when it comes to things like percent discount. Suppose that you're shopping on a rack that offers $ 45 \% $ off the lowest ticketed price, and you're interested in a sweater with a ticket price of $ \$ 47.53 $. The sale price is what percent of the ticketed price? The sale price is $ \square $ $ \% $ of the ticketed price.

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Estimate the indicated derivative by any method. (Round your answer to three decimal places.) y = 7 - x$^2$; estimate $\frac{dy}{dx}|_{x=3}$

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The formula to calculate the voltage induced across an inductor is given by: V = L * di/dt Where: V = induced voltage L = inductance di/dt = rate of change of current Given: L = 10 mH = 10 * 10^-3 H di/dt = 0.1 mA/us = 0.1 * 10^-3 A/us Using the given values: V = (10 * 10^-3) * (0.1 * 10^-3) V = 10 * 10^-6

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Question 2 (10 points) Wong Window Cleaners's monthly income statement is the following: July August September Windows washed 3,000 2,000 1,000 Sales revenues $9,000 $6,000 $3,000 Cost of goods sold 3,600 2,400 1,200 Gross margin 5,400 3,600 1,800 Operating expenses: Advertising 600 600 600 Salaries 1,200 800 600 Other expenses 1,200 800 400 Operating income 2,400 1,400 200

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Problem 8 Follow the steps of serial division in the example of the notes and complete the following table by entering all the RTL steps and register contents for 4-bit serial division if the value of D(Divider) is 0101 and the Dividend/Remainder is initially 1111. (15 points) Clock D D/R Q RTL Steps 0 0100 00001111 00000000 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

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3a) Determine the Minimum and Maximum distance between A & B (25 pts) MIN MAX 3b) Determine the Minimum and Maximum distance between C & D (25 pts) MIN MAX 3c) Determine the Minimum and Maximum values for X and Y. (25 pts) MIN UNLESS OTHERWISE SPECIFIED, TOLERANCES: 2PL ±0.005 3PL ±0.002 MAX

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In the circuit shown below, assume that the op-amp is ideal. If the gain $\frac{V_o}{V_{in}}$ is -12 find the value of R in k$\Omega$

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Question 6: Estimate the fundamental frequency of the lateral vibration of a shaft carrying three rotors as shown in figure, with $m_1 = 20$ kg, $m_2 = 50$ kg, $m_3 = 40$ kg, $l_1 = 1$ m, $l_2 = 3$ m, $l_3 = 4$ m and $l_4 = 2$ m. The shaft is made of steel with a solid circular cross section of diameter 10 cm. Take: E = 207 GPa. [8 marks] The deflection of the beam due to a static load P is given by: $w(x) = \begin{cases} \frac{Pbx}{6EI}(l^2 - b^2 - x^2) & 0 \le x \le a\\ \frac{Pa(l-x)}{6EI}(a^2 + x^2 - 2lx) & a \le x \le l \end{cases}$

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Compare the following: a) L and D amino acids b) polypeptides and proteins.

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marie m.