Exercise 11 Partial Differentiation Q# 1 to 6 Interclass New Math book Sindhtext board скачать в хорошем качестве

Exercise 11 Partial Differentiation Q# 1 to 6 Interclass New Math book Sindhtext board

Class 12. New Math book Sindh text board. || Unit 11 Partial Differentiation. || Exercise 11. || Q# 1 to 6. || Sindh text book board Jamshoro. || Class 12th New book. || Class 12 Mathematics Exercise 11 .Q# 1 to 6.Sindh text book Jamshoro. STBB (i) f(x,y)=3x^{3}+y^{2}-6x+2y-7 (ii) f(x,y)=x^{2}+xy-y^{2}-2x-2y-8 ( (iv) f(x,y)=e^{x}cosy iii) f(x,y)=sin(x+y) (v) f(x,y)=1/2 ln(x^{2}+y^{2}) The volume of the cone is given by formula V=1/3 π r^{2}h. Differentiate V with respect to their independent variables. Check whether the following functions are homogeneous or not. Find the degree in case of homogeneous function. (i) f(x,y)=x^{3}-5x^{2}y+7xy^{2}+y^{3}}/{xy^{2}} (ii) f(x,y)=tan({x+y}/{y^{2}}) (iii) f(x,y)=x^{3}+3x^{2}y+2y^{2}x+y^{3} (v) f(x,y)={x^{2 }- xy +y^{2}}/{x+y^{2}} (vii) f(x,y)=x^{3}sin({y^{2}/{x}) (iv) f(x,y)=cos^{-1}({x^2-y^2}/{xy}) Verify Euler's theorem for the following homogeneous function. (i) f(x,y)=xy+y^{2} (iii) f(x,y)= sqrt{xy}-x (vi) f(x,y)= sqrt{x^{8}-3x^{2}y^{6}} (viii) f(x,y)=ln(\frac{x^{2}+y^{2}}{x+y}) (ii) f(x,y)=cos(x/y) (iv) f(x,y)=ln({x+y}/{y}) If u=x^{2}(y-x)+y^{2}(x-y) then show that \frac{\partial u}{\partial x}+\frac{\partial u}{\partial y}=-2(x-y)^{2}. If u=tan^-1{x^{3}+y^{3}}/{x - y.}).then prove that x\frac{\partial u}{\partial x}+y\frac{\partial u}{\partial y}=sin(2u). #sindheducation #sindhtextbookboard #sindhtext #sindhtextbookboardjamshoro #sindhtextbook #sindhtextboard #sindh #biologyeducation #chemistryeducation #physicaleducation #mathematicsanalysis #mathematics #mathematician #mathematical #mathe #mathematic #matheducation #math12 #math12th