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A new element has been discovered and all you know is that it is a halogen Predict the number of electrons in its outer orbit and possible atomic number(s)


A ball is thrown from a tower 42 m. high above the ground with a velocity of 270 m/sec directed at 280 from the horizontal. How long will the ball hit the ground?

Neil Armstrong was the first man to walk on the moon. On July 20, 1969, his famous statement, "That's one small step for man, one giant leap for mankind." was received at 10:56 p.m. ( EDT) on Earth. (a) How long did it take his voice to reach Earth via radio waves? (b) At what time (in EDT) did he utter this statement at the surface of the moon. The distance between the Earth and the moon is 3.85 x 10^12 m.



Express the function g ,defined by g(x)=1/√x+√x,as a composition of three function


Solve the following :-



a) Find the solution of the differential equation:


(ax + hy + g)dx + (hx + by + f )dy = 0



b) Use the method of undermined coefficients to find the general solution of the


differential equation:



d^3y/dx^3 + d^2y/dx^2 = 3e^x + 4x^2



c) Solve the differential equation:


dy/dx - (3/2x)y = 2x/y



d) Use the method of variation of parameters to solve the differential equation:


y''' + 3y' + 2y = 4e^x



e) Find the integral curve of the differential equations:


dx/( x^2 - y^2 - z^2 ) = dy/2xy = dz/2xz



f) Find a particular integral of differential equation:


(D^3 - D' ^3)z = x^3 × y^3

The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours. (30%) (a) What proportion of the population watches television for more than 7 hours per day? (b) What is the probability that the average number of hours spent watching television by a random sample of five adults is more than 7 hours? (c) What is the probability that in a random sample of five adults all watch television for more than 7 hours per day? 


how many moles of sodium are needed to react with sulfic acid to produce 3.75 moles of sodium according to the following unbalanced reaction

Na+ H2(SO4)> Na2 (SO4)+H2



A cross between a blue bird and a white bird produce silver offspring. What are the genotypes of the parents? What are the genotypes of the offspring?


A subdivision household collects an 20 killos of trash each week. If the standard deviation is 3.5 kilos based on the assumption that the data collected are normally distributed, find the probability that a household selected at random collect trash of:

a. lower than 16 kilos

b. greater than 22.5 kilos

c. between 14 kilos and 23.5 kilos

d. 11 kilos and 15 kilos


How to find wavelength with Mass given


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