Question
approximate value of the area of the region y=4x^(2),y=e^(x)
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Answer to a math question approximate value of the area of the region y=4x^(2),y=e^(x)
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4.492 Answers
Step-by-step solution:
1. Set 4x^2 = e^x
2. Solve for x x = -2\text{LambertW}(-\frac{1}{4}) x = -2\text{LambertW}(\frac{1}{4})
3. Determine that 4x^2
4. Set up the integral A = \int_{-2\text{LambertW}(-\frac{1}{4})}^{-2\text{LambertW}(\frac{1}{4})} (4x^2 - e^x) \, dx
5. Integrate and evaluate at the limits.
6. Numerically calculate the area to get approximately 0.801
1. Set
2. Solve for
3. Determine that
4. Set up the integral
5. Integrate and evaluate at the limits.
6. Numerically calculate the area to get approximately
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