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Question 6 Chlorophyll, the green pigment found in plants, absorbs visible radiation best in the red region and in the blue-violent region. What is the energy of the photons absorbed by plants in the red region at 675 nm? When submitting answers in scientific notation, please use E to represent "x10". An example would be 4.1 x 10<sup>-2</sup>, this would be counted correct as 4.1E-2.

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Enzyme(s) that digests protein: lipase only. amylase only. Both trypsin and pepsin pepsin only. trypsin only.

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An electromagnetic beam has an intensity \( 28 \mathrm{~W} / \mathrm{m}^{\wedge} 2 \) and is linearly polarized vertically. What is the intensity of the transmitted beam, if the angle of incidence on the polaroid is 45 degreeo with the vertical? \( 12 \mathrm{Wm}^{\wedge}-1 \) \( 10 \mathrm{Wm}^{\mathrm{n}-1} \) \( 14 \mathrm{Wm}^{\wedge}-1 \) \( 16 \mathrm{Wm}^{\wedge}-1 \)

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Consider a function $\phi_n(x) = \sqrt{\frac{2}{L}} \sin(\frac{n\pi x}{L})$, where $n$ is a positive integer and $L$ is a positive number, show the following relation: $\int_0^L \phi_n(x)\phi_{n'}(x)dx = \begin{cases} 1 & \text{for } n = n'\\ 0 & \text{for } n \neq n' \end{cases}$ (Hint: using product-to-sum identity of trigonometric functions.)

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Find the tangent to $y = \frac{(x - 3)}{(x + 1)}^2$ at $x = 0$.

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Use the vector function $r(t) = (t^2 + 22, 3\sin(t) - 3t\cos(t), 3\cos(t) + 3t\sin(t))$ where $t > 0$ to answer parts (a) and (b) below. (a) Find the vectors $T(t)$ and $N(t)$. $T(t) = $ $N(t) = $ (b) Find the curvature of $r(t)$. $\kappa(t) = $

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2. What is the length of the bar? 1 2 3 1.920 cm 1.92 cm 2.9 cm 3 cm 3. What is the volume of the liquid measured in a 10 mL graduated cylinder as shown? Note that you must record all the certain digits as well as one that is estimated (uncertain) 7.2 mL 6.85 mL 6.64 mL 6.50 mL 7 mL 4. Match the term from the experiment with one of the descriptions below. A. observation with a frame of reference B. qualitative observation C. quantitative observation The temperature was 18°C. Obtain a pea-sized quantity of the unknown. Upon addition vigorous bubbling was observed. The red solution was transparent. The residue weighed 4.530 grams

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Suppose that $f$ and $g$ are integrable functions and that $\int_{-3}^{-2} f(x)dx = 14$, $\int_{-3}^{-1} f(x)dx = -16$, $\int_{-3}^{-1} g(x)dx = -5$ Use the properties of the definite integral to find each of the following: $\int_{-2}^{2} g(x)dx = $\int_{-1}^{3} g(x)dx = $\int_{-3}^{-2} 9f(x)dx = $\int_{-2}^{-1} f(x)dx = $\int_{-3}^{-1} [f(x) - g(x)]dx = $\int_{-3}^{-1} [2f(x) + 3g(x)]dx =

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1. What are the political risks in international trade operations? How can they be managed?

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3. For the circuit shown below, let the first coupling coefficient, k = 0.Y and the second k = O.Z. Use the values of Z and Y defined above. If your last name begins with the letter A-J, let the source voltage $v_s = 8cos \ 1000t$. If your last name begins with K-Z, then let $v_s = 12sin \ 1000t$. Write a complete set of mesh equations that can be used to find current flowing through the circuit. Please write first and second coupling coefficients: first k = ____ and second k = ____

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