Question: QUESTION 3 Plot the following on a 3 - D graph Sphere, centred at the origin and radius 2 , Surface z = x -

QUESTION

3

Plot the following on a

3 -

D graph

Sphere, centred at the origin and radius

2,

Surface

z = x - y + 1 + \frac{x y}{5},

Cylindrical surface

(x - 10)^{2} + y^{2} = 81, z

being any value.

Estimate the points at which all three surfaces intersect, and then use this information as starting point in a numerical procedure to find accurately

(

10

significant figures

)

the coordinates of the points at which the surfaces intersect.

[25]

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