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