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densk [106]
3 years ago
11

PLZ ANSWER FASTER WILL GIVE BRAINEST

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

x f(x)

-2 12

-1 7

0 2

1 -3

2 -8

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Step-by-step explanation:

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r(s,t)=ssin4t,s^2,scos4t

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  • <em>Component along y axis r_j : s^2</em>
  • <em>Component along z axis r_k : scos4t</em>

We see that , from the parameterised equation , r_i^2+r_k^2=s^2sin^24t+s^2cos^24t\\r_i^2+r_k^2=s^2\\r_i^2+r_k^2=r_j

This can also be written as :

x^2+z^2=y

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By fixing the value of z=0,

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By fixing the value of x=0,

<u><em>We get y=z^2 which is equation of a parabola curving towards positive infinity of y-axis and in the y-z plane. </em></u>

Thus by fixing the values of x and z alternatively ,  we get a <u>CIRCULAR PARABOLOID. </u>

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