Explanation Given: Plane y = 1 intersects the surface z = x 4 + 6 x y − y 4 in a certain curve. Calculation: The slope of the tangent line to the curve z = z ( x , 1 ) = x 4 + 6 x − 1 , obtained by intersecting the surface z = x 4 + 6 x y − y 4 with the plane y = 1 , is the partial derivative ∂ z ∂ x ( 1 , 1 ) ...

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ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Chapter 14.3, Problem 9E

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The plane $y = 1$ intersects the surface $z = x^{4} + 6 x y - y^{4}$ in a certain curve. Find the slope of the tangent line to this curve at the point $P = (1, 1, 6)$ .

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Chapter 14.3, Problem 8E

Chapter 14.3, Problem 10E

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Chapter 14 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

Ch. 14.1 - Prob. 1PQ Ch. 14.1 - Prob. 2PQ Ch. 14.1 - Prob. 3PQ Ch. 14.1 - Prob. 4PQ Ch. 14.1 - Prob. 5PQ Ch. 14.1 - Prob. 1E Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E

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The plane y = 1 intersects the surface z = x 4 + 6 x y − y 4 in a certain curve. Find the slope of the tangent line to this curve at the point P = ( 1 , 1 , 6 ) .

The plane y=1 intersects the surface z=x4+6xy−y4 in a certain curve. Find the slope of the tangent line to this curve at the point P=(1,1,6).

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Chapter 14 Solutions

The plane $y = 1$ intersects the surface $z = x^{4} + 6 x y - y^{4}$ in a certain curve. Find the slope of the tangent line to this curve at the point $P = (1, 1, 6)$ .