What is the domain of the function y=cube root of x

1 answer:

3 0

All real numbers. in interval notation, that's (<span><span>−∞</span>, ∞</span><span>). there isn't a value you could insert for "x" that would give you an error.</span>

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Estimate the maximum error made in approximating e^x by the polynomial 1 + x + {1}/{2}x^2 over the interval x of [-0.4,0.4].

kolezko [41]

E^x = 1 + x + x² / 2 + x³/ 3! + x^4 / 4! + .....
   = (1 + x + x²/2 ) + x³   [ 1/6 + x /4! + x² / 5! + .... ]
Error = e^x - (1+ x + x² )   = x³ [ 1/6 + x /4! + x² / 5! + .... ]
    x / 4! < x / 6 x² / 5! < x² / 6 and so on
   So if we replace all factorials by 1/6 ..
   error < x² [ 1/6 + x/6 + x²/6 + ... ]
   < x² / 6 [ 1 + x + x² ..... ]
   < x² / 6 * 1 / (1 -x) = x² / 6 (1-x) if x < 1
maximum error = x² /6(1-x) occurs at 0.4 or -0.4 in the given interval.
   = 0.0444444

7 0

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A restaurant chef wants to install a new floor in his kitchen. The kitchen measures 8 yards wide and 12 yards long, and the floo

scoundrel [369]

Find the area which is length times width

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Hope this helps!!