If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y ______.

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If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y 0.32. Explanation: Given that y = x4 – 10 "dy"/"dx" = 4x3 Δx = 2.00 – 1.99 = 0.01 $\therefore$ Δy = "dy"/"dx" * Δ"x" = 4x^2 xx Δ"x" = 4 $\times$ (2)3 $\times$ 0.01 = 32 $\times$ 0.01 = 0.32

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