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Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550

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BuyFindarrow_forward

Calculus: Early Transcendentals

8th Edition
James Stewart
ISBN: 9781285741550
Textbook Problem

Identify the surface with the given vector equation.

3. r(u, v) = (u + v) i + (3 − v) j + (1 + 4u + 5v) k

To determine

To identify: The surface with the vector equation r(u,v)=(u+v)i+(3v)j+(1+4u+5v)k .

Explanation

Given data:

The vector equation is given as follows.

r(u,v)=(u+v)i+(3v)j+(1+4u+5v)k

Formula used:

Write the expression for vector equation of a surface that passes through the point (x0,y0,z0) and contains the vectors a=a1,a2,a3 and b=b1,b2,b3 .

r(u,v)=x0,y0,z0+a1,b1,c1u+a2,b2,c2v (1)

Here,

u and v are scalar parameters.

Write the vector equation as follows.

r(u,v)=(u+v)i+(3v)j+(1+4u+5v)k

Rewrite the vector equation as follows

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Chapter 16 Solutions

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