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The geometrical representation of the small-scale aircraft wing is illustrated in Figure 2 below. A bounded surface S is constructed by extending a curve C which is expressed by the parametric equation 7(t) = (tcos(t))i + (tsin(t))j+ (4 – t²)k , for 0 < t < 1, along -z direction down to xy-plane as shown. t=0 Surface S 3 t=1 N 2- 1 Сху. 0.2 y 0.4 0.2 0.6 0.4 0.6 0.8 0.8 y Figure 2. Geometrical representation of an aircraft wing. Using the line integral concept find the area of the surface S where A = S. f (x, y)ds. Cxy is the %3D ху planar curve in xy-plane obtained from the projection of the curve C. Note that z = f (x, y) = x2 – y2 along the curve C. You can use final numerical answer. 4 – pocket calculator to get the

The geometrical representation of the small-scale aircraft wing is illustrated in Figure 2 below. A bounded surface S is constructed by extending a curve C which is expressed by the parametric equation 7(t) = (tcos(t))i + (tsin(t))j+ (4 – t²)k , for 0 < t < 1, along -z direction down to xy-plane as shown. t=0 Surface S 3 t=1 N 2- 1 Сху. 0.2 y 0.4 0.2 0.6 0.4 0.6 0.8 0.8 y Figure 2. Geometrical representation of an aircraft wing. Using the line integral concept find the area of the surface S where A = S. f (x, y)ds. Cxy is the %3D ху planar curve in xy-plane obtained from the projection of the curve C. Note that z = f (x, y) = x2 – y2 along the curve C. You can use final numerical answer. 4 – pocket calculator to get the

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 53E
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The geometrical representation of the small-scale aircraft wing is illustrated in Figure 2 below. A bounded surface S is constructed by extending a curve C which is expressed by the parametric equation 7(t) = (tcos(t))i + (tsin(t))j+ (4 – t²)k , for 0 < t < 1, along -z direction down to xy-plane as shown. t=0 Surface S 3 t=1 N 2- 1 Сху. 0.2 y 0.4 0.2 0.6 0.4 0.6 0.8 0.8 y Figure 2. Geometrical representation of an aircraft wing. Using the line integral concept find the area of the surface S where A = S. f (x, y)ds. Cxy is the %3D ху planar curve in xy-plane obtained from the projection of the curve C. Note that z = f (x, y) = x2 – y2 along the curve C. You can use final numerical answer. 4 – pocket calculator to get the
Transcribed Image Text:The geometrical representation of the small-scale aircraft wing is illustrated in Figure 2 below. A bounded surface S is constructed by extending a curve C which is expressed by the parametric equation 7(t) = (tcos(t))i + (tsin(t))j+ (4 – t²)k , for 0 < t < 1, along -z direction down to xy-plane as shown. t=0 Surface S 3 t=1 N 2- 1 Сху. 0.2 y 0.4 0.2 0.6 0.4 0.6 0.8 0.8 y Figure 2. Geometrical representation of an aircraft wing. Using the line integral concept find the area of the surface S where A = S. f (x, y)ds. Cxy is the %3D ху planar curve in xy-plane obtained from the projection of the curve C. Note that z = f (x, y) = x2 – y2 along the curve C. You can use final numerical answer. 4 – pocket calculator to get the
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