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5. Green light ($\lambda = 550$ nm) passes from air into another medium. Rank the speed of light in the following mediums from greatest to least: crown glass ($n = 1.52$), ice ($n = 1.309$), flint glass ($1.66$), and water ($n = 1.333$). (a) $v_{crown\ glass} = v_{flint\ glass} > v_{ice} = v_{water}$ (b) $v_{flint\ glass} > v_{crown\ glass} > v_{water} > v_{ice}$ (c) $v_{ice} > v_{water} > v_{crown\ glass} > v_{flint\ glass}$ (d) $v_{ice} = v_{water} > v_{crown\ glass} = v_{flint\ glass}$

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(6) Suppose that $a > b > 0$. Let $\varepsilon = \frac{\sqrt{a^2 - b^2}}{a}$. Show that for any $0 < \xi < a$, the length $L(\xi)$ of the arc of the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ that lies above the interval $[0, \xi]$ of the $x$-axis is given by $L(\xi) = \int_0^{\xi} \sqrt{\frac{a^2 - \varepsilon^2 x^2}{a^2 - x^2}} dx$. Make a change of variable to write $L(\xi)$ in terms of the elliptic integral $E(\varepsilon, \eta) = \int_0^{\eta} \sqrt{1 - \varepsilon^2 \sin^2 t} dt.$

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88. Mating patterns that are the result of a tendency for individuals to mate with others who share similar phenotypes is called Onegative assortative mating directional mating Opositive assortative mating discretionary mating

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What is not a typical sign of corrupted input accepted and stored in a database? A. System crashes B. Unexplained application actions C. Inability to authenticate D. Database corruption

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Quick Check 3 - Write a structural formula for each amine. (a) 2-Aminoethanol (b) (b) Diphenylamine (c) (c) Diisopropylamine

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2a. Find an interval containing a root of x-3^(-x)=0 2a. Find an interval containing a root of x - 3-x = 0

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?(r, ?, ?) = \frac{1}{\sqrt{4?} (a_0)^{3/2}} e^{-\frac{r}{a_0}} \\ where a_0 = 0.529 Å. We also discussed the physical meaning of \\ $\int_0^r \int_0^{2?} \int_0^{?} |?(r, ?, ?)|^2 r^2 sin?d?d?dr. \\ Now let P(r) = \int_0^r \int_0^{2?} |?(r, ?, ?)|^2 r^2 sin?d?d?, which is the radial probability \\ density. Find r where the radial probability density for the ground state electron is a \\ maximum. Comment on the result you obtained (i.e., explain the physical meaning of \\ the result & comment on the reasonableness). Compare your result with the radius of \\ a Hydrogen atom.

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Calculate cash flow from investing activities. Year 0 Year 1 Cash 10.0 20.0 Accounts receivable 50.0 61.0 Net PP&E $100.0 120.0 Total assets 160.0 201.0 Accounts payable 30.0 40.0 Accrued expenses 40.0 30.0 Long term debt 10.0 31.0 Common stock 10.0 15.0 Retained earnings 70.0 85.0 Total liabilities and equity 160.0 201.0 Depreciation 29.0 30.0 Net income 21.0 22.0 Select one: (49.0) (20.0) 20.0 (50.0)

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Describe Helen Fisher's three stages of love. For each stage, specify: 1. the levels of neurotransmitters and hormones associated with that stage. 2. the main areas of the brain involved in that stage. (recommended answer format: List each stage of love with bullet points below each stage for 1) for levels of neurotransmitters/hormones and 2) main areas of the brain)

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Find the equation for the tangent plane to the surface $z = 10x^2 + 9y^2$ at the point $(2, 1, 49)$.\A. $40x + 18y - z = 49$\B. $40x + 18y - z = 56$\C. $2x + y + 49z = 1$\D. $2x + y + 49z = 52$

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vanessa d.