Numerade

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1. Three polarizing filters are placed consecutively on an optical bench. The angle of transmission axis is as shown in the figure. Answer the following questions based on the figure. a) An unpolarized light with intensity $I_0$ passes through all the filters and the intensity of the final light is Zero. What is the angle $\theta_3$? b) Vertically polarized light with intensity $I_0$ passes through the filters and the final intensity is $I_0/8$. What is the angle $\theta_3$? c) What will be the final intensity if $\theta_3 = 60^\circ$ in case of incident light having polarization angle which is $30^\circ$ to y-axis? d) If $\theta_3 = 90^\circ$, what will be the final intensity in case of vertically polarized incident light? 2. A light source with wavelength $\lambda$ is placed before a double slit having separation d. A screen is placed at a distance L from the slit. (L>>d) a) What is the ratio of distance of $m^{th}$ bright fringe to $m^{th}$ dark fringe from the center? b) How far away/closer would you need to move the screen to reduce the separation between consecutive fringes to half? c) What happens to the separation between the fringes if the whole set up is submerged in water (refractive index of water = 1.33)? 3. The power emitted by the Sun as light is $3.86 \times 10^{26}$ W. What is the ratio of radiation energy received by Earth (radius = 6400 km) and Mercury (radius = 1500 km) per hour from the Sun? Earth and Mercury are at a distance of 150 million kilometers and 80 million kilometers away from the Sun, respectively.

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Find the equation of the line tangent to $y = f(x)$ at $x = 1$, where $f(x) = 7e^{3x} + e^{-x^2}$ Carry out all calculations exactly, and round the final answers to two decimal places. Do not use commas in your submitted answers. The equation of the tangent line is $y = mx + b$, where m = and b =

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What characteristic of language describes how you can explain to your friends what you did on your vacation, even though you were not together? Answer a. infinite creativity b. symbolism c. semanticity d. displacement

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1. Recommend weighted average costs of capital (i.e., WACCs) for EPC’s consumer products, medical devices, and pharmaceuticals divisions respectively? [6 pts] Hints: • Remember the pure-play method to calculate each division’s e i. unlever comparable company’s e to get u of each company. ii. then use average u of the comparables to relever to represent the target leverage ratio in market value terms. • Pay attention to differences in leverage and investment horizon among the divisions. 2. Explain what would occur if EPC were to use a single corporate-wide WACC for evaluating investment opportunities in each of its lines of business? What would be the likely consequence for the company over time if this were to occur? [2 pts] 3. What do you think? [2 pts] What would be your estimate of EPC’s corporate-wide WACC? Hints: • EPC’s corporate-wide beta is 1.04. This beta is based on EPC’s historical market leverage ratio. You will need to use the same unlever-relever process to find the correct e for EPC. • Once you have e, you’ll have to make choices regarding other parameters in calculating WACC. You just need to state your choice and the rationale/reason to justify the decision, then you’ll receive full credits.

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What are the potential vulnerabilities and limitations of access controls, firewalls, and VPNs?

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Explain the Allen Pinkerton Detective Agency in historical texts of the 19th and 20th centuries.

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"...magnitudes denote economic values measured at the prices that are actually paid". Choose the word that the previous sentence defines. a) Nominal b) Real c) Gross d) Unadjusted

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Try submitting it for grading (click "Submit mode", then "Submit for grading"). Notice that the test cases fail. The first test case's highlighting indicates that output 3 and newline were not expected. In the second test case, the -5 and newline were not expected. Remove the code that echoes the user's input back to the output, and submit again. Now the test cases should all pass.

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Estimate the slope of the tangent line to the curve at the given point (-6.5, 3.683) on the graph to the right. The slope of the tangent line is 1.4 (Type an integer or decimal rounded to the nearest tenth as needed.)

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You are performing a glucose tolerance test on a patient. You have given the patient the glucose drink and have just collected the second hour of a three-hour tolerance. A patient in the waiting room tells you that they heard the glucose tolerance patient throwing up in the restroom a couple of hours ago. What should you tell the glucose tolerance patient?

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sandra m.