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3. D9: I can compute derivatives of implicitly defined functions. D10: I can find the equation of the line tangent to a function at a point and use this line as a linear approximation to estimate the value of a function at nearby points. nteds Snell's Law or the Law of Refraction describes the behavior of light as it travels between two substances, telling us how light bends. Snell's law tells us about the relationship be- tween the angle of incidence, 01, and the angle of refraction, 02, as a ray of light travels from one medium to another and depends on the refrac- tion indices n₁ and n₂ of both of the substance. Snell's Law n₁ sin(01) = n2 sin (02) (a) Which letters represent variables? Air (1) 01 02 Glass (n2) (b) Which letters represent constants? d02 (c) (D9) Use Implicit differentiation to compute d01 (d) The refraction index of air is n₁ = 1 and the refraction index of glass is n2 = 1.52. If the angle of incidence is 0₁ = 20° verify that the angle of refraction is approximately 02 ≈ 13°. (Make sure you calculator is in degrees mode, and just plug in numbers to verify the equation balances.) (e) (D10) Find an equation for the tangent line when 0₁ = 20° and 62 = 13° (f) (D10) Use your tangent line to approximate the value of 02 when ₁ = 21°

3. D9: I can compute derivatives of implicitly defined functions. D10: I can find the equation of the line tangent to a function at a point and use this line as a linear approximation to estimate the value of a function at nearby points. nteds Snell's Law or the Law of Refraction describes the behavior of light as it travels between two substances, telling us how light bends. Snell's law tells us about the relationship be- tween the angle of incidence, 01, and the angle of refraction, 02, as a ray of light travels from one medium to another and depends on the refrac- tion indices n₁ and n₂ of both of the substance. Snell's Law n₁ sin(01) = n2 sin (02) (a) Which letters represent variables? Air (1) 01 02 Glass (n2) (b) Which letters represent constants? d02 (c) (D9) Use Implicit differentiation to compute d01 (d) The refraction index of air is n₁ = 1 and the refraction index of glass is n2 = 1.52. If the angle of incidence is 0₁ = 20° verify that the angle of refraction is approximately 02 ≈ 13°. (Make sure you calculator is in degrees mode, and just plug in numbers to verify the equation balances.) (e) (D10) Find an equation for the tangent line when 0₁ = 20° and 62 = 13° (f) (D10) Use your tangent line to approximate the value of 02 when ₁ = 21°

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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it is not graded!! the d9 and d10 are just standards!!

3. D9: I can compute derivatives of implicitly defined functions. D10: I can find the equation of the line tangent to a function at a point and use this line as a linear approximation to estimate the value of a function at nearby points. nteds Snell's Law or the Law of Refraction describes the behavior of light as it travels between two substances, telling us how light bends. Snell's law tells us about the relationship be- tween the angle of incidence, 01, and the angle of refraction, 02, as a ray of light travels from one medium to another and depends on the refrac- tion indices n₁ and n₂ of both of the substance. Snell's Law n₁ sin(01) = n2 sin (02) (a) Which letters represent variables? Air (1) 01 02 Glass (n2) (b) Which letters represent constants? d02 (c) (D9) Use Implicit differentiation to compute d01 (d) The refraction index of air is n₁ = 1 and the refraction index of glass is n2 = 1.52. If the angle of incidence is 0₁ = 20° verify that the angle of refraction is approximately 02 ≈ 13°. (Make sure you calculator is in degrees mode, and just plug in numbers to verify the equation balances.) (e) (D10) Find an equation for the tangent line when 0₁ = 20° and 62 = 13° (f) (D10) Use your tangent line to approximate the value of 02 when ₁ = 21°
Transcribed Image Text:3. D9: I can compute derivatives of implicitly defined functions. D10: I can find the equation of the line tangent to a function at a point and use this line as a linear approximation to estimate the value of a function at nearby points. nteds Snell's Law or the Law of Refraction describes the behavior of light as it travels between two substances, telling us how light bends. Snell's law tells us about the relationship be- tween the angle of incidence, 01, and the angle of refraction, 02, as a ray of light travels from one medium to another and depends on the refrac- tion indices n₁ and n₂ of both of the substance. Snell's Law n₁ sin(01) = n2 sin (02) (a) Which letters represent variables? Air (1) 01 02 Glass (n2) (b) Which letters represent constants? d02 (c) (D9) Use Implicit differentiation to compute d01 (d) The refraction index of air is n₁ = 1 and the refraction index of glass is n2 = 1.52. If the angle of incidence is 0₁ = 20° verify that the angle of refraction is approximately 02 ≈ 13°. (Make sure you calculator is in degrees mode, and just plug in numbers to verify the equation balances.) (e) (D10) Find an equation for the tangent line when 0₁ = 20° and 62 = 13° (f) (D10) Use your tangent line to approximate the value of 02 when ₁ = 21°
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