Question

dy/dx=3x2. If at x=2, y=8, calculate the exact value of y at x=2.1

Answer 1

Answer:

72=2×36

72=2×2×18

72=2×2×2×9

72=2×2×2×3×3

72=23×32

1. 625=5 ^4
2. 128=2^7
3. 243=3^5

Answer 2

Answer: 9.261

Step-by-step explanation:

• Given:- $\frac{dy}{dx}=3x^{2}$
• Solution:- Applying integration on both sides we get,

        $y=x^{3}$

     We can see clearly when x=2 then y=8.

     So, when x=2.1 then y=$(2.1)^{3}$

                                ∴ y=9.261

• Hence, the required value of y is 9.261.

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