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explain income effect,substitution effect and prise effect with the help of indifference curve












A metal rod of length 40.0 cm at 20°C is heated through a temperature of 45°C if the new length of the rod

is 40.05 cm calculate its linear expansivity


A metal rod of length 40.0cm at 20C is heated through a temperature of 45C.if the new length of the rod is 40.05cm calculate its linear expansivity


if f(x)=x² and g(x)=2x-1.find1.gf(x) 2.fg(x) 3.inverse of g(x)?


A bag contains 3 black balls and 2 red balls,a ball is picked at random and replaced.

what is the probability they are both black?


If one side and two angles of one triangle are congruent to two angles and one side of another triangle, are the two triangles guaranteed to be congruent?

The angle of the reflected light n=2.42 whose perfectle polarized? Find the reflectance of TE and TM of that angle

A 1.6 m tall girl stands 3.2 m from a convex mirror . What is the focal length of the mirror if her image appears to be 0.28 m tall? 


 The price of coffee rose sharply last month, while the quantity sold remained the same. Five people suggest various explanations: Leonard: Demand increased, but supply was perfectly inelastic. Sheldon: Demand increased, but it was perfectly inelastic. Penny: Demand increased, but supply decreased at the same time. Howard: Supply decreased, but demand was unit elastic. Raj: Supply decreased, but demand was perfectly inelastic. Who could possibly be right? Use graphs to explain your answer.


Addition of Big Integer

In this problem, you have to take two char arrays of numbers (e.g., “1203009954” and

“109876201453”) from the user and add these two numbers and store answer in a third char array

digit by digit (“111079211407”).

function prototyoe:char* additionOfBigInteger(char * Num1, char* Num2)


Subtraction of Big Integer

In this problem, you have to take two char arrays of numbers (e.g., and “1203009954”

“109876201453”) from the user and subtract these two numbers and store answer in a third char

array digit by digit (“-108673191499”).

function prototyoe:char* subtractionOfBigInteger(char * Num1, char* Num2)


Multiplication of Big Integer

In this problem, you have to take two char arrays of numbers (e.g., and “1203009954”

“109876201453”) from the user and multiply these two numbers and store answer in a third char array digit by digit (“132182164055668263162”).

function prototyoe:char* multiplicationOfBigInteger(char * Num1, char* Num2)


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