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The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin (1) cos (2¹) where t is hours past midnight, and h is water level in feet compared to sea level. 1. Find a linear function that approximates the sea level at times near midnight. h(0) = 3sin (1/ot) cos(1₁/1₂) + 3cos( 3cos 35 in (7/6(0)) cos(1/12)√(0) Well = (1)+ Did you need more time? -Sir 2. Use your linear approximation to estimate the sea height at 12:30am. (Include units. (Be mindful of units!)

The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin (1) cos (2¹) where t is hours past midnight, and h is water level in feet compared to sea level. 1. Find a linear function that approximates the sea level at times near midnight. h(0) = 3sin (1/ot) cos(1₁/1₂) + 3cos( 3cos 35 in (7/6(0)) cos(1/12)√(0) Well = (1)+ Did you need more time? -Sir 2. Use your linear approximation to estimate the sea height at 12:30am. (Include units. (Be mindful of units!)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A4 I can find the equation of a tangent line to a function at a point and use this as a linear approximation to estimate function values. Please show your work and justify your answers. The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin in (1) cos (2¹), where t is hours past midnight, and his water level in feet compared to sea level. 1. Find a linear function that approximates the sea level at times near midnight. t h(0) = 3sin (7/ut) cos(11/1₂) + 3 cos( 3cos 3 sin (1/6(0)) cos("//12)(0) L'ices = (1)+ Did youneed F more time 2. Use your linear approximation to estimate the sea height at 12:30am. (Include units. (Be mindful of units!) 3 cos (E+)-(E) t -Sin 1 + (3³in (7)t) (-sin/ +).
Transcribed Image Text:A4 I can find the equation of a tangent line to a function at a point and use this as a linear approximation to estimate function values. Please show your work and justify your answers. The height of the water level at an irregular tidal shelf is given by h(t) = 3 sin in (1) cos (2¹), where t is hours past midnight, and his water level in feet compared to sea level. 1. Find a linear function that approximates the sea level at times near midnight. t h(0) = 3sin (7/ut) cos(11/1₂) + 3 cos( 3cos 3 sin (1/6(0)) cos("//12)(0) L'ices = (1)+ Did youneed F more time 2. Use your linear approximation to estimate the sea height at 12:30am. (Include units. (Be mindful of units!) 3 cos (E+)-(E) t -Sin 1 + (3³in (7)t) (-sin/ +).
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