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find two level curves of the function f(x,y)= (x+y)/(x-y) , x is not equal to y and sketch them
Evaluate the integral by converting to polar coordinate intergrate 0 to √3 double integrate y to√(4-y^2) dx.dy/(4+ x^2+y^2)
A bag contains 5 white and 8 red balls .two drawing of 3 balls are made such that.(a) balls are replaced before the second trial and (b) balls are not replaced before the second trial . Find the probability that the first drawing will give 3 white and second red balls in each case.
obtain all the first and second order partial derivatives of the function:
f(x,y)=sinxy
f(x,y)=sinxy
show that the function
1) u(x,y)=tan^-1(y/x) is a solution of the two dimensional laplaces equation.
2) u(x,t)=e^-(6t) cos2x is a solution of the one dimensional heat equation.
1) u(x,y)=tan^-1(y/x) is a solution of the two dimensional laplaces equation.
2) u(x,t)=e^-(6t) cos2x is a solution of the one dimensional heat equation.
Evaluate the integral by converting to polar coordinate intergrate 0 to √3 double integrate y to√(4-y^2) dx.dy/(4+ x^2+y^2)
Sheila's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Sheila's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ = 125 mg/dl and σ = 10 mg/dl. What is the level L such that there is probability only 0.05 that the mean glucose level of 2 test results falls above L for Sheila's glucose level distribution? (Round your answer to one decimal place.)
___ mg/dl
___ mg/dl
which of the following is an example of a function with the domain (negative infinity, infinity) and a range of (negative infinity, infinity)?
A. f(x)=x^1/4-5
B. f(x)=x^1/6 -5
C. f(x)=x^1/3-5
D. f(x)= x^1/8-5
A. f(x)=x^1/4-5
B. f(x)=x^1/6 -5
C. f(x)=x^1/3-5
D. f(x)= x^1/8-5
The probability that a randomly selected 3-year-old male feral cat will live to be 4 years old is 0.69156. (a) What is the probability that two randomly selected 3-year-old male feral cats will live to be 4 years old? (b) What is the probability that seven randomly selected 3-year-old male feral cats will live to be 4 years old?
check whether there exists a continuously differentiable function g defined by f(x,y) =0 in the neighbourhood of x=3 such that g(3) =1/3 .
