Show that ∫√sin𝜃/𝑑𝜃 ∫𝑑𝜃/√sin𝜃=π
1.C] Show that Answer:-
Stark
Solve by using Milne’s predictor-corrector method
10.C] Given , 𝑦(0) = 1, 𝑦(0.1) = 1.06, 𝑦(0.2) = 1.12, 𝑦(0.3)=1.21, evaluate 𝑦(0.4) by using Milne’s predictor-corrector method.
Show that 𝛤 (1/2 ) = √π
2.C] Show that .
Evaluate ∫ ∫ ∫ 𝑥𝑦𝑧 𝑑𝑥𝑑𝑦𝑑z
2.B] Evaluate xyz dxdydz.
Evaluate ∫√𝑐𝑜𝑠𝜃𝑑𝜃 by taking 7 ordinates by Simpson’s 1/3 rd rule
7.C] Evaluate by taking 7 ordinates by Simpson’s 1/3 rd rule.
Using Newton’s forward interpolation find y at x = 5 from the data
7.B] Using Newton’s forward interpolation find y at x = 5 from the data:- x 4 6 8 10 y 1 3 8 16
Solve 𝜕^2𝑧/𝜕𝑥𝜕𝑦 =sin𝑥 sin𝑦 for which 𝜕𝑧/𝜕𝑦=−2 sin𝑦 when x=0 and z =0 when y is odd multiple of 𝜋/2
6.B] Solve = sin 𝑥 sin 𝑦 for which = −2 sin 𝑦 when x= 0 and z = 0 when y is odd multiple of .
Find the volume bounded by the cylinder 𝑥 by using double integration
1.B] Find the volume bounded by the cylinder 𝑥2 + 𝑦2 = 4 and the planes 𝑦 + 𝑧 = 4 and 𝑧 = 0, by using double integration
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