(a) Find an equation of the tangent plane to the surface at the given point. x+y+z= 11, (4, 4, 3) (b) Find a set of symmetric equations for the normal line to the surface at the given point. Ox- 4 = y – 4=z- 3 4 O*—4=Lg+- . y - 4 Ox—4aX—4=zg. y- - 3 O4x = 4y = 3z 04-4= Z 3 3 - 3

Q: A curve Cis given by the parametric equations z = 2t –2 and y = (t- 2) where t > 0. 1. The curve has…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: Find equations of the following. 2(x - 4)2 + (y - 1)2 + (2 – 6)2 = 10, (5, 3, 8) (a) the tangent…

A: Given that: 2(x-4)2+(y-1)2+(z-6)2=10        and (5, 3, 8)

Q: u = (2, 3) and v (-6, 4). (a) Find u -3v. (b) Find u + vl. (c) Find u· v. (d) Are u and v…

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Q: For the following two parts, the curve C is the part of y = 4 - a² from (0, 4) to (2,0). (a)…

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Q: Write an equation of a circle whose center is (0,0) and radius is 5 O 2² + y? 25 O (z) + (y – V5)? =…

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Q: Find the tangent and normal to the ellipse x? - xy + y? = 7 at the point (-1, 2). (See Figure 3.51.)

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Q: (a) Find the equation of the plane containing the lines. x=2+t Ly=3-2t |z=1-3t x=1+3s L₂y=1-2s z =…

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Q: e passes through the points 27- 10

A: 5. Plane: a) The plane passes through the points (3,2,1) and (3,1,-5)And perpendicular to the plane…

Q: Find an equation of the tangent plane to the surface at the given point. X²+y²+z²=14, (1,2,3) And…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(4,0,4) on the…

A: Given fx,y,z=4z-x2and point P0 4,0,4

Q: Q7. (a) Q7. (b) (i) Find the coordinates of the stationary point of the curve with equation (x + y -…

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