The length and breadth of a rectangle are increased by 20% and 25% respectively. The increase in the area of the resulting rectangle will be :

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#Question id: 15566

#Section 5: Bioprocess Engineering and Process Biotechnology

Rate constant k for a first order reaction has been found to be 2.54 × 10^-3 sec^-1. Calculate its 3/4th life, (log 4 = 0.6020).

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#Question id: 15567

#Section 1: Engineering Mathematics

The method for determination of a root of a non-linear equation which uses two initial guess roots but does not require that they must bracket the root, is? 

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#Question id: 15568

#Section 1: Engineering Mathematics

The quadratic equation 2x² + 3x + 8 = 0 is to be solved numerically starting with an initially value of xo = 2. The new estimate of x after the first iteration using Newton Raphson method is 

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#Question id: 15569

#Section 1: Engineering Mathematics

A root x⁴ — 3x + 1 = 0 needs to be found using the Newton-Raphson method. If the initial guess xo and 0, then the new estimate x1 after the first iteration is 

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#Question id: 15570

#Section 1: Engineering Mathematics

To solve x² - 2 = 0, the Newton-Raphson method has been employed. If the initial guess xo = 1.0, the next estimate of the root, x1, will be 

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#Question id: 15571

#Section 1: Engineering Mathematics

The approximate value of a root of x³ -13 = 0, then 3.5 as initial value, after one iteration using Newton-Raphson method, is