Just #4 please Tangent Planes and Normal Lines to SurfacesIn Exercises 1-10, find equations for the(a) tangent plane and rolling of evilla(b) normal line at the point Po on the given surface..Po(1, 1, 1)1. x² + y² + z² = 3,2. x² + y² = z² = 18, Po(3, 5,-4)-3. 2z- x² = 0, Po(2, 0, 2)4. x² + 2xy - y² + z² = 7,5. сos πx - x²y + exz + yz- x²y +6. x² - xy-y²zPo(1,-1, 3)ex² + yz = 4, Po(0, 1, 2)= 0, Po(1, 1, -1)7. x + y + z = 1,P(0, 1, 0)8. x² + y² - 2xy - x + 3y - z = -4, Po(2, -3, 18)9. x ln y + y ln z = x, Po(2, 1, e)10. yet - ze¹²= Z, Po(0, 0, 1)

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Answered: 4. x² + 2xy = y² + 2² = 7, Po(1,-1, 3)…

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4. x² + 2xy = y² + 2² = 7, Po(1,-1, 3) -

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ISBN:9781337278461

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Chapter6: Topics In Analytic Geometry

Section6.6: Parametric Equations

Problem 5ECP: Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle...

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Question

Just #4 please

Tangent Planes and Normal Lines to Surfaces
In Exercises 1-10, find equations for the
(a) tangent plane and rolling of evilla
(b) normal line at the point Po on the given surface..
Po(1, 1, 1)
1. x² + y² + z² = 3,
2. x² + y² = z² = 18, Po(3, 5,-4)
-
3. 2z
- x² = 0, Po(2, 0, 2)
4. x² + 2xy - y² + z² = 7,
5. сos πx - x²y + exz + yz
- x²y +
6. x² - xy-y²z
Po(1,-1, 3)
ex² + yz = 4, Po(0, 1, 2)
= 0, Po(1, 1, -1)
7. x + y + z = 1,
P(0, 1, 0)
8. x² + y² - 2xy - x + 3y - z = -4, Po(2, -3, 18)
9. x ln y + y ln z = x, Po(2, 1, e)
10. yet - ze¹²
= Z, Po(0, 0, 1)

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