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Q.32 The maximum value of the function f(x) = 3×2 − 2×3 for x > 0 is ________. Step-by-Step Solution The given function is: f(x) = 3x² − 2x³ Compute […]

Q.31 The probability density function of a random variable X is p(x) = 2e-2x. The probability P(1 ≤ X ≤ 2) (rounded off to two decimal places) is ________. The […]

Q.30 Consider a nonlinear algebraic equation, 𝑥𝑙𝑛𝑥 + 𝑥 − 1 = 0. Using the NewtonRaphson method, with the initial guess of 𝑥0 = 3, the value of 𝑥 after […]

Q.29 The degree of reduction of lactic acid (C3H6O3) is ________________. Degree of Reduction of Lactic Acid (C3H6O3) The degree of reduction for lactic acid, with formula C3H6O3, equals 4 […]

Q.28 A microorganism is grown in a batch culture using glucose as a carbon source. The apparent growth yield is 0.5 g biomass/g substrate. The initial concentrations of biomass and […]

Q.27 Assuming independent assortment and no recombination, the number of different combinations of maternal and paternal chromosomes in gametes of an organism with a diploid number of 12 is _________________. […]

Q.26 Among individuals in a human population, minor variations exist in nucleotide sequences of chromosomes. These variations can lead to gain or loss of sites for specific restriction enzymes. Which […]

Q.25 The recognition sequences of four Type-II restriction enzymes (RE) are given below. The symbol (↓) indicates the cleavage site. Identify the RE that generates sticky ends. (A) RE1 – […]

Q.24 Which of the following is NOT used for generating an optimal alignment of two nucleotide sequences? (A) Gap penalties (B) Match scores (C) Mismatch scores (D) Nucleotide composition Which […]

Q.23 Match the microbial product (Column I) with its respective application (Column II). Column I                                […]