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Recent questions tagged numerical-answers
–1
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0
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161
GATE2018-43
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
numerical-answers
calculus
sequences-and-series
infinite-series
+
–
0
votes
0
answers
162
GATE2018-42
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________
The probability distribution for a discrete random variable $X$ is given below. $$\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
numerical-answers
probability-and-statistics
probability
expectation
+
–
0
votes
0
answers
163
GATE2018-41
Calculate the following integral (up to two decimal places) $\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$
Calculate the following integral (up to two decimal places)$$\displaystyle \int_0^1 (x + 3)(x + 1)dx = \text{ ___________}$$
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Calculus
gate2018
numerical-answers
calculus
definite-integrals
+
–
0
votes
0
answers
164
GATE2018-46
A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen solubility in the broth is $8 $ ... $s^{-1}$) of oxygen required to achieve a maximum cell concentration of $12$ g/L is (up to two decimal places) ___________
A microbial strain is cultured in a $100$ L stirred fermenter for secondary metabolite production. If the specific rate of oxygen uptake is $0.4 \: h^{-1}$ and the oxygen...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Bioprocess Engineering and Process Biotechnology
gate2018
bioprocess
fermenter
numerical-answers
+
–
0
votes
0
answers
165
GATE2018-45
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water to solvent is $85$, then the extraction factor is ________
An aqueous solution containing $6.8$ mg/L of an antibiotic is extracted with amyl acetate. If the partition coefficient of the antibiotic is $170$ and the ratio of water ...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Bioprocess Engineering and Process Biotechnology
gate2018
bioprocess
technology
numerical-answers
+
–
1
votes
0
answers
166
GATE2018-44
Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $\dfrac{dN}{dt}=-k_dN$ where, $N$ is the number of viable spores, $t$I is the time, $k_d$ is the rate constant and $\dfrac{dN}{dt}$ is the rate of ... the number of viable spores from an initial value of $10^{10}$ to a final value of $1$ is (up to two decimal places) __________
Moist heat sterilization of spores at $121 ^\circ C$ follows first order kinetics as per the expression: $$\dfrac{dN}{dt}=-k_dN$$ where, $N$ is the number of viable spore...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Bioprocess Engineering and Process Biotechnology
gate2018
bioprocess
technology
numerical-answers
+
–
0
votes
0
answers
167
GATE2018-22
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 1)$ is equal to (up to two decimal places) ____________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Probability and Statistics
gate2018
numerical-answers
probability-and-statistics
probability
normal-distribution
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–
0
votes
0
answers
168
GATE2018-21
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
The determinant of the matrix $\begin{pmatrix} 4 & -6 \\ -3 & 2 \end{pmatrix}$ is _________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Linear Algebra
gate2018
numerical-answers
linear-algebra
matrices
determinant
+
–
0
votes
0
answers
169
GATE2018-25
Genomic DNA isolated from a bacterium was digested with a restriction enzyme that recognizes a $6$-base pair (bp) sequence. Assuming random distribution of bases, the average length (in bp) of the fragments generated is __________
Genomic DNA isolated from a bacterium was digested with a restriction enzyme that recognizes a $6$-base pair (bp) sequence. Assuming random distribution of bases, the ave...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Recombinant DNA technology and Other Tools in Biotechnology
gate2018
recombinant
dna
technology
numerical-answers
+
–
–1
votes
0
answers
170
GATE2018-24
A single stem cell undergoes $10$ asymmetric cell divisions. The number of stem cells at the end is _________
A single stem cell undergoes $10$ asymmetric cell divisions. The number of stem cells at the end is _________
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Plant, Animal and Microbial Biotechnology
gate2018
animal
biotechnology
numerical-answers
+
–
0
votes
0
answers
171
GATE2018-23
The absorbance of a solution of tryptophan measured at $280$ nm in a cuvette of $2.0$ cm path length is $0.56$ at pH $7$. The molar extinction coefficient $(\varepsilon)$ for tryptophan at $280$ nm is $5600$ $M^{-1}$ $cm^{-1}$ at pH $7$. The concentration of tryptophan (in $\mu M$) in the solution is __________
The absorbance of a solution of tryptophan measured at $280$ nm in a cuvette of $2.0$ cm path length is $0.56$ at pH $7$. The molar extinction coefficient $(\varepsilon)$...
gatecse
1.4k
points
gatecse
asked
Feb 20, 2018
Analytical Techniques
gate2018
analytical
techniques
numerical-answers
+
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