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Find the cylindrical coordinates of the points where the Cartesian coordinates are :


(3, 3,4)


Express the following surfaces in spherical coordinates:


y² +z² -x² = 1


Express the following surfaces in spherical coordinates :


yz=2


lim x ➡0 (lim y ➡0 for ysinx/|x|) does not exist. Say true or false


The range of the function f(x, y) =√81-9x²-9y² is [0, 8] . Say true or false.


If f(x, y) ={ 1 if x=0 or y=0 and 0 , otherwise } then lim f(x, y) does not exist for limit (x, y) approaches to (0, 0).

The function f(x, y) ={x²y/x⁴ +y² , (x, y) ≠0 and 0 , (x, y) =0 }is not continuous at (0,0).


Say true or false.


If f(x, y) ={ 1 if x=0 or y=0 and 0 otherwise } then lim f(x, y) does not exist for limit (x, y) approaches to (0, 0).


the population of 2 town were equal in a particular year.population of 1 town is increase by 8% but other decrease by 6%.then population of two town together was 48765.what was the population of each town in the particular year when the population of town was equal?


from a box containing two apples two peaches and two oranges four fruits are drawn at random. let P be a random variable representing the number of oranges that occur. construct a probability distribution


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