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Use the substitution theorem evaluate,


Integral 0 to 2 t^2[1+t^3]^-1/2dt

Apply second substitution theorem evaluate


Integral 1 to 4 dt/(|t+4|√t)

Find the power set of each of these sets, where a and b are distinct elements. a) {a} b) {a, b} c) {∅,{∅}}


A sample size of 36 is to be selected from a population that has a mean of µ = 45 and standard deviation s of 10.


1.Find the mean of the sampling distribution

2.Find the standard error of the sampling distribution.

3.What is the probability that this sample mean will be between 40 and 50?


Mark-up of Php 585.00 is рlaced on a branded tennis shoes and 12% rate. Find the original price.


Find the volume of a cylindrical water tank whose radius is 25 inches and whose height is 120 inches. Use π = 3. 14

What's the area to the left of z=0?,in other words,What is P(z<0)?

To the right of z=0.3


consider a population consisting of 15,2,12,4,5,8,6,9 and 17.samples of size 5 are drawn from this popular

Evaluate the truth value of the following propositions using the set (1 ,3, 5, 7)








as the domain.








1. Vx: x (x2 – 4) = 0








2. Ǝx : x + 1 > 0








3. Ǝx : x (x2








– 4) = 0

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