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Consider the R^2 - R function f defined by f(x,y) = (x^2 +y)/y.

Determine each of the following limits,if it exists.

a) lim (x,y) -> (0,0) f(x,y),where C1 is the curve y=x

b) lim (x,y) -> (0,0) f(x,y),Where C2 is the curve y=2x

c) lim (x,y) -> (0,0) f(x,y),Where C3 is the curve y=x^2

d) lim (x,y) -> (0,0) f(x,y)


How many grams of CaSO4 (molar mass= 136.2g/m) can be produced from the reaction if 42.528 grams of CaBr2 is reacted with 42.39 grams of LiSO4?


Consider the R^2 - R function defined by f(x,y) = 3x + 2y.

Prove from first principles that lim (x,y) -> (1,-1) f(x,y) = 1


13. If 23 grams of formic acid, HCOOH, are dissolved in 10L of water at 25oC, the [H+] is found to be 3.0x10-3 M. Determine the Ka for HCOOH. Hint: think ICE BOX. (6 marks)


11. Calculate [OH- ] ions in a 0.125 M solution of nitrous acid. Is this solution acidic or basic; how do you know? Make sure you include the ionization equation. (6 marks)



12. Calculate the [H3O+] in a 2.00 L solution of NaOH, a strong base, if it contains 0.800 g of solute. Is this solution acidic or basic; how do you know? Make sure you include the dissociation equation. (6 marks)


If 15.0 of phosphoric acid completely neutralizes 38.5mL of 0.150 mol/L sodium hydroxide, what is the concentration of the phosphoric acid


a car travelling at 22.5m/s decelerate at 2.27m/s². how far does it go in third minutes after the brakes were applied

what might cause an increase in demand for conventional cigarettes


write a C++ program that gets a number from user. according to given number program should calculate and display the multiplication table of given number as shown as below in the function"void multiplicationTable";


Which of the following will increase the unemployment pool? [A] a decrease in the number of new entrants in the labour market. [B] a increase in the number of people who are hired. [C] an increase in the number of people looking for a job. [D] a decrease in the number of people who are laid off.


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