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1) Find the area bounded by the curve y-9-x and the x axis.



a) Horizontal Strip



b) Vertical Strip

The distance S in metres covered by particle at time T, seconds is given by S= 2t²– 3t² – 5t, find:


(i) it's speed In the 5th second.


(ii) the distance covered in the 3rd second.


(iii) the acceleration at T=5 seconds.

1. What are buffers?

________________________________________________________________________

________________________________


2. Write equations to show the dissociation of the salts (i) ammonium chloride and (ii) sodium acetate.

I. __________________________________________________________________

__________________________________________________________________


II. __________________________________________________________________

__________________________________________________________________


3. Write equations to show the hydrolysis of the two salts named in Exercise 2.

I. __________________________________________________________________


II. ________________________________________________________________


4. Calculate the pH of the ammonium chloride solution of concentration 0.1M if the acid dissociation constant/ hydrolysis constant for the NH4+ ion is 5.8 x 10-10

The following table gives the recorded grades for 10 students on a midterm test and the final examination in a statistics course.





Student



Midterm Test



Final Examination



1



84



73



2



98



63



3



91



87



4



72



66



5



86



78



6



93



78



7



80



91



8









9



92



88



10



87



77





a. Calculate the rank correlation coefficient.



b. Test the hypothesis @ .05 level of significance.

Convert the following IEEE single-precision floating point numbers from hex to decimal:




a. 42F48000



b. CAB00000



c. 00700000



d. 3ABC0000

Create a c++ program that asks the user to input the full name 10 times using for, do while and while loop. Then display.

Construct a c++ program to compute the sum of the digits of the numbers input from the user. Display the number input by the user as well as the sum. Use for loop Control structure.

How much force is needed to punch a circular hole 1.2cm in radius in a metal plate of thickness 0.3 cm? The shear modulus of the metal is 150.0 x 106 N·m

1 A substance that when dissolved in water increases the concentration of H ions is a/an ……….



2 What is the solubility product (Ksp ) expression? CaF2 (s) ⇌ Ca 2+(aq) + 2F -(aq)



3 What is the pH of 500 mL of solution containing 0.0124 grams of Ca(OH)2?



4 which reactions would increasing pressure at constant temperature not change the



concentrations of reactants and products, based on Le Chatelier's principle?





5 Fill in Each blank cell with the correct value



pH [H +] / M pOH [OH -] / M



2.3 ------------ --------- -------------



12.2 ----------- ---------- --------------



------- 5.1 × 10 -5 ------------- ---------------



-------- ----------- ------------- 7.9 × 10 -- 10




A rock is thrown upwards with a speed of 7m/s. How much time does it take to reach the peak of its arc


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