Using Green’s theorem, evaluate ∫_c(𝑥𝑦 + 𝑦^2)𝑑𝑥 + 𝑥^2𝑑𝑦, where C is bounded by 𝑦 =𝑥 and 𝑦 = 𝑥^2
4.B] Using Green’s theorem, evaluate ∫c (𝑥𝑦 + 𝑦2)𝑑𝑥 + 𝑥2𝑑𝑦, where C is bounded by𝑦 = 𝑥 and 𝑦 = 𝑥2 Answer:-
4.B] Using Green’s theorem, evaluate ∫c (𝑥𝑦 + 𝑦2)𝑑𝑥 + 𝑥2𝑑𝑦, where C is bounded by𝑦 = 𝑥 and 𝑦 = 𝑥2 Answer:-
8.B] Find the support reactions for the beam as shown in figure. Answer:-
5.B] Solve = 𝑥𝑦 subject to the conditions = log(1 + 𝑦), when 𝑥 = 1 and 𝑧 = 0, when 𝑥 = 0. Answer:-
8.A] Write a note on the classification of trusses. Answer:- Perfect Frame Perfect frame is made up of a number of members just sufficient to keep it in equilibrium m = (n * j) – r Where m = no…
6.A] State and prove perpendicular axes theorem Answer:- To prove :- Statement:- The Moment of inertia of area about an axis perpendicular to its plain at any point ‘o'(Alphabet – o) is equal to the same moment of inertia about…
6.C] Solve 𝑥(𝑦2 − 𝑧2)𝑝 + 𝑦(𝑧2 − 𝑥2)𝑞 − 𝑧(𝑥2 − 𝑦2) = 0 Answer:-
2.B] Using double integration find the area between the parabolas 𝑦2 = 4𝑎𝑥 and 𝑥2 = 4𝑎y. Answer:-
VTU 1st Year 21MAT21 Advanced Calculus and Numerical Methods set-2 Solved Model Question Paper with answers available on this website. VTU 1st Year Advanced Calculus and Numerical Methods set-2 Solved Model Question Paper Module-1 1.A] Evaluate ∫ ∫ 𝑥𝑦 𝑑𝑥𝑑𝑦…
2.A] Change the order of integration and hence evaluate dydx. Answer:-
1.A] Evaluate ∫ ∫ 𝑥𝑦 𝑑𝑥𝑑𝑦 over the region bounded by the x-axis, ordinate x=2a and the curve 𝑥2 = 4𝑎y ANSWER:-