Let f(x,y)=(2)0.5sin(xy) a. Find the gradient of f(1/2,pi/2) b. Use your answer to find the equation of the tangent line (in parametric form) to the level curve f(x,y)=1, at the point (1/2,pi/2) c. Graph the level curve together with the point and the tangent line you found above.
Let f(x,y)=(2)0.5sin(xy) a. Find the gradient of f(1/2,pi/2) b. Use your answer to find the equation of the tangent line (in parametric form) to the level curve f(x,y)=1, at the point (1/2,pi/2) c. Graph the level curve together with the point and the tangent line you found above.
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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Let f(x,y)=(2)0.5sin(xy)
a. Find the gradient of f(1/2,pi/2)
b. Use your answer to find the equation of the tangent line (in parametric form) to the level curve f(x,y)=1, at the point (1/2,pi/2)
c. Graph the level curve together with the point and the tangent line you found above.
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