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Prove that 1·1 ! + 2·2!+· ··+ n · n! = (n+I)!-1
whenever n is a positive integer.
A boy and girl jump off the edge of the pool. They jumped at the same speed and time, but the boy jumps mostly forward. What happened to the motion of the children after they leave the edge of the pool?
If you are stung by a bee , what substance can you apply to it to help reduce the pain
A sample of a substance containing only C and H burns in excess O2 to yield 4.4g of CO2 and 2.7g of H2O. What is the empirical formular of the compound?
5. If the function y = y(x) is such that x dy dx + 2y = x cos x, use the integrating-factor method to show that y = sin x + 2 cos x /x − 2 sin x/x^2 + c/x^2 , where c is an arbitrary constant
4. Find the general solution of the differential equation dy/dx + y cot x = 1, recalling that cot x = cos x / sin x
3. Find the particular solution of the linear equation dy/dx + 1/x y = x if y(1) = 0
1. Find the general solution of the differential equation dy/dx = y^2 /1 + x^2
The decomposition of dinitrogen pentoxide at 45°c takes place according to the equation .
N2O5=2NO2+1/2O2
Explain the effect of increasing the temperature of a reaction on the rate of the reaction .
#340153 on Dec 2023