Answered: 18. Show that the functions (a), u(x,… | bartleby

Trigonometry (MindTap Course List)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.2: Introduction To Conics: parabolas

Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

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18. Show that the functions
(a), u(x, y) = e siny, (b). v(x, y)
are harmonic, and find the corresponding
case.
= cos a coshy,
analytic function u + iv in each

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7. Use implicit differentiation to find two equations between x and y such that the tangent to the Folium of Descartes x +y° = 3xy is line i) Horizontal, 5i. 5ii. ii) Vertical
Find the derivative of f(w)= sin(4w²)+cos(4w²). A) Swcos(4w°)–8wsin(4w²) B) -8wcos(4w?)+8wsin(4w²) C) 4cos(4w?)–4sin(4w?) D) 4cos(4w?)+4sin(4w²)
5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) = sin(xy) in the direction 2î - 3ĵ, at the point (, -1). b. f(x, y) = 3+x² y² going directly away from the origin, at the point (4,−1). c. f(x, y) = -6x + 2y + 3 in the direction 30° counter-clockwise from the negative y-axis, at the point (-2,2). d. f(x, y) = x³y² + √3x − y in the direction toward (0,5), at the point (3, 1).
This assignn Show all your work. Communi appropriate to this course - wil Show all your work. Your w shown will not receive full m 1) Determine the derivative o a) f(x) = -4e*² b) y = cos(3*) c) g(x) = -2 sin³(2x) d) y = sin(ecosx) %3D %3D 2) Determine the equation o (1)* and
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