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this application calculates the value of functionfatii, wherei=1,2,…,n, and the gradient vector off:gradient(f)=(∂f∂x1,∂f∂x2,…,∂f∂xn)Thenpartial derivatives∂f∂xiare calculated usingautomatic differentiation (AD)as described inDerivative Calculatorbut in this case AD ...
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Find the integration of value \(\int_{2}^{3} (5x2) dx\) and verify it using improper integral calculator. Solution: \(\int_{2}^{3} (5x2) dx\) = (5/3)x3|32x3|23 = 5/3(33- 23) = 5/3(27 - 8) = 5/3(19)