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The complete integral of √p+√q=3x is. A)z=1/9(a+3x)^3+a^2y +b. B))z=1/3(a+3x)^3+a^2y +b.

C) z=1/6(a+3x)^3+a^2y +b. D)z=1/2(a+3x)^3+a^2y +b.


The differential equation of (x-a)^{2}+(y-b)^{2}+z^{2}=2019 where a, b are arbitrary constants is.

A) z^2(p^2+q^2)=1. B)z^2(p^2+q^2)=2019.

C) z^2(p^2+q^2+1)=1.

D) z^2(p^2+q^2+1)=2019


The differential equation x^{2}yux+f(u)uy=xy^{2}u is A) Linear equation.
B) Semi- linear equation.
C) Quasi-Linear equation.
D)Non- linear equation

L^{-1} e^{-s}/√s }=-----------


L {t^{2}*H'(t-3)}.

A) e^-3s /s

B)e^-3s /s^2.

C)2e^-3s /s^2.

D)3e^-3s /s^2.


If F(s)=s^{2}+2/s(2s^{2}-7s+5); then lim t→∞f(t) `.

A)0.

B)2/5. C) 1/2. D)does not exist


If f(t)=cos 2t H(t-π), then L{∫0^{t}f(τ)dτ}.
A)-e^-πs/s^2+4. B)-e^-πs/s(s^2+4). C)e^-πs/s^2+4.
D)e^-πs/s(s^2+4).

A stone is dropped from a height of 25 meters. a) How long will it take for the stone to hit the ground? b) What velocity does it have when it hits the ground?

 



a golden breast plate weighing 18.63 kg in dropped in a that initially contains water. after the breast plate was totally submerged, the water level rises by 61 87cm. the tub has a diameter of 6 centimeters and the breast plate was said to be mare only from gold and silver. compute for the percentage of each component of the breast plate if the density of gold is 19,3 g/cubic centimeter and silver has a density of 10.49 g/cubic centimeter.


At 400 tons per annum capacity, 99 % w/w urea is to be produced from ammonia and CO2 using a simplified three step processinvolvingsynthesis,decompositionandconcentration, (i).Sketchtheblockdiagramforthisprocess. (ii). Given that 80 % conversion of CO2 is achieved with 50 % excess ammonia during urea synthesis, evaluate the actual quantitiesofthefeeds? 


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