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If ln=int_zero to infinity e^-x sin^n (x)dx,prove that (1+n^2)ln=n(n-1)ln-2 for n≥2.

Does sodium chloride dissolve in aqueous copper chloride?


Using multi dimensional arrays, create an array that will store 10 items of stock with brand name. Number of stock in store and Quantity sold

Does Copper dissolve in aqueous copper chloride? If so what is the separation method?

Harold and his homework





Harold and Dan are friends and study in the same class. One day, they strike a deal about completing Harold's homework.




The deal is that, for every piece of homework belonging to Harold which Dan completes, Harold will give Dan some money. The catch is that every piece of homework has a deadline associated with it and has to be completed within that deadline only.



It takes 1 unit amount of time to complete a homework. You have to help Dan find and return the maximum money he can earn.



Input Specification:



input1: The number of tasks



input2: An array representing money associated with each task input3: An array representing the deadline of each task



Output Specification:






Your function must return the maximum amount of money Dan can earn





Example 1:






input1: 3






input2: (20,54,41)






input3: (3,4,5)






Output: 115






Explanation:






Here, all the homework can be done as all have different deadlines and so maximum money is the sum of 20+54+41= 115.






A light source emits visible light of two wavelengths: λ = 430 nm and λ’ = 510 nm. The source is used in a double- 

slits interference experiment in which L =1.50 m and d = 0.025 0 mm. Are there any locations on the screen where  

the bright fringes from the two wavelengths overlap exactly?


How many molecules are in 5 moles of ammonia, NH3?

 How many grams are in 238 moles of arsenic? The atomic mass of arsenic is 33 g.

Three years ago Lilly borrowed R10 000 from Faith on condition that she should pay her back two years from now. She also owes Faith R6 000 payable five years from now. The appliable interest rate for both transactions is 13,75% per year,compounded every six months. After considering her payback shedule, Lilly asks Faith if she an pay her R9 000 now and the rest in four years' time. She agrees on ondition that the new agreement will run from now and that an interest rate of 16,28% per year, compounded monthly,

will be appliable from now. The amount that Lilly will have to pay Faith four years from now is


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