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\( y = x^{100} - 5x^{35} + 4x^{9} + 3 \)

Find \( y^{(101)} \) and explain your answer.

Answer :

Final answer:

To find y^101, substitute x = 3 into the equation y = x^100 - 5x^35 + 4x^9 + 3 and calculate the value of y.

Explanation:

To find y101, we need to substitute x = 3 into the equation of y = x100 - 5x35 + 4x9 + 3. Then, we can calculate the value of y.

So, by substituting x = 3 into the equation, we get:

y = (3100) - 5(335) + 4(39) + 3

y = 1.693 x 1048 - 5 x 5.314 x 1016 + 4 x 19,683 + 3

y = 1.693 x 1048 - 2.657 x 1017 + 78,732 + 3

y = 1.693 x 1048 - 2.657 x 1017 + 78,735

y ≈ 1.693 x 1048

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