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Le Chatelier's Principle predicts that __________ will result in an increase in the number of moles of SO3 in the reaction container. A) increasing the volume B) decreasing the pressure C) decreasing the temperature D) removing some oxygen 


Le Chatelier's Principle predicts that __________ will result in an increase in the number of moles of SO3 in the reaction container.

A) increasing the volume

B) decreasing the pressure

C) decreasing the temperature

D) removing some oxygen 


A population consists of the values (1, 3, 4). From the list below, choose 9 possible samples of size 2 that can be drawn from this population with replacement


Check whether the sequence (an), where


an = 1/ (n+1) + 1/(n+2) +....+1/(2n) is convergent or not


Let ϕ and Ψ be function defined on [-3,5], such that both are continuous on [-3,5], derivable in [-3,5] and ϕ'(x)= Ψ'(x) ∀ x∈]-3,5[. Prove that


ϕ(x)= Ψ(x) +c ∀ x∈ [-3,5] , where c is a real constant

Prove that the sequence (fn(x)), where fn(x)= nx/(1+ nx^2) is not uniformly convergent in [-2,2]



1. Create a button control that has the caption Close. Now write the code which will ask the user to confirm whether he wants to close the program when he clicks on the Close button.



2. Write a program that requests the user to input two numbers and select an arithmetic operator. The program will then perform the calculation using the selected operator. (Use the Switch construct)



1. Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}


2. Draw the graph of the function f, defined by f(x)= |x-6| + |5 - x| ; x∈ [2,8]


A sample of 390 senior high school students applied to different state universities, wherein 117 are female. Find the 99% confidence interval of the true population proportion who applies for different state universities

A school principal claims that grade 11 students have a mean grade of 86 with a standard deviation of 4. suppose that the distribution is approximately normal. What is the probability that a random selected grade will be less than 84?


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