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  1. Use double integration to find the volume of the solid bounded from above by the paraboloid z = 9x2 + y2, below by the plane z = 0, laterally by y=x^2 and y=x.

The weights (in kg) of Grade 11 ICT follow a normal distribution and has a mean of 52 and standard deviation of 6. How many students have weights greater than 55?


A small-time bingo card costs P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. If 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket? With explanation.


The average height of students in a freshman class of a certain school has been 168.67 cm with a population standard deviation of 8.67 cm. Is there a reason to believe that there has been a change in the average height if a random sample of 49 students in the present freshman class has an average height of 155.04 cm? Use a 0.1 level of significance.


What are the given? Write only the number. :

population mean:Blank 1 cm

population standard deviation:Blank 2 cm

sample size:Blank 3

sample mean:Blank 4 cm

level of significance:Blank 5


What are the critical values? Write the positive critical value first then the negative.

z:Blank 6 andBlank 7


What is the value of the calculated z? Round your answer to the nearest hundredths.

z:Blank 8

The heat of vaporization of methanol, CH3OH, is 35.20 kJ/mol. Its boiling




point is 64.6°C. What is the change in entropy for the vaporization of




methanol?

null hypothesis a nutrionist claims that the average amount of vitamin b in a bread is more than 5grams



How much work must be done to a proton to accelerate it from rest to 0.998c.


The function Power, which raises the integer number x to the power n, can be defined recursively as follows:

Power(x, n) = 1 for n = 0

Power(x, n) = x * Power(x, n-1) for n > 0

(i) Using the above definition write the recursive function Power(x, n) in C.

(ii) Rewrite the recursive function Power(x, n) in an iterative form.

(iii) Write the main function and test the above-written functions. Note: You can write one program and test the functions or you may write two separate programs for each part (i) and (ii). 


Determine whether each of these functions from Z to Z is one-to-one.


a. f(n) = n2


+ 1


b. f(n) = n


A solution of HCl is known to be 0.5622 N. When titrated against KOH, 45.22 ml of the acid neutralized 48.23 ml of the base. Calculate the N of the base.



 


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