Kay's Math: stationary points of two variable functions-practice questions for bsc statistics -complementary mathematics -Semester2 -Kerala University

Locate all stationary points and predict the nature

$f(x,y)=3x^{2}-2xy+y^{2}-8y$

$f(x,y)=4xy-x^{4}-y^{4}$

3. $f(x,y)=1-x^{2}-y^{2}$
4. $f(x,y)=x+2y-5$
5. $f(x,y)=e^{xy}$
6. $f(x,y)=x^{2}-y^{2}$
7. $f(x,y)=13-6x+x^{2}+4y+y^{2}$
8. $f(x,y)=1-2x-x^{2}+4y-2y^{2}$
9. $f(x,y)=y^{2}+xy+3y+2x+3$
10. $f(x,y)=x^{2}+xy-2y-2x+1$
11. $f(x,y)=x^{2}+xy+y^{2}-3x$
12. $f(x,y)=xy-x^{3}-y^{2}$

$\cdot 13\: f(x,y)=x^{2}+y^{2}+\frac{2}{xy}\newline\ \cdot 14\: f(x,y)=xe^{y}\newline\ \cdot 15\: f(x,y)=x^{2}+y-e^{y}\newline\ \cdot 16\: f(x,y)=xy+\frac{2}{x}+\frac{4}{y}\newline\ \cdot 17\: f(x,y)=e^{x}sin\:y\newline\ \cdot 18\: f(x,y)=ysin\:x\newline\ \cdot 19\: f(x,y)=e^{-{x^{2}+y^{2}+2x}}\newline\ \cdot 20\: f(x,y)=xy+\frac{a^{3}}{x}+\frac{b^{3}}{y} \:(a\neq 0,b\neq 0)$

Stationary points practice set 2https://ellipticalkoyal.blogspot.com/2019/01/stationary-points-of-two-variable_14.html

Lagrange multipliers http://ellipticalkoyal.blogspot.com/2019/01/lagrange-multipliers.html

Kay's Math

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Wednesday, January 9, 2019

stationary points of two variable functions-practice questions for bsc statistics -complementary mathematics -Semester2 -Kerala University

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