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APPLIED MATHEMATICS (AMS )M2 312301 Important Questions &chapter wise Revision 2 marks

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution

APPLIED MATHEMATICS (AMS )M2 312301 Important Questions &chapter wise Revision

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝐐𝟒.𝐜)Solve the ,5x – 2y + 3z = 18, x + 7y –3z = 22

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟒.𝒃) Using Newton Raphson method, find 𝒙^𝟒−𝒙−𝟗=𝟎,

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝑄4.𝑎) Find𝑥^3+2𝑥^2−8=0 using Regula Falsi method.

MSBTE AMS(M2)312301 K- Win- 2024 Full SolutionQ3 .d)Using Bisection method 𝒙^𝟑 – 𝒙 –𝟏=𝟎

MSBTE AMS(M2)312301 K- Win- 2024 Full SolutionQ6.c) In a sample of 1000 cases, 5

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝐐𝟓.𝐛) i) Evaluate ∫1_𝟎^𝟏▒〖𝒅𝒙(𝒙^𝟐−𝒙+𝟏) 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝐐𝟔.𝐛) i) Solve the differential equation𝒙 𝒅𝒚𝒅𝒙+𝒚=𝒙^𝟑

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝑸𝟔.𝒃) ii) Show that(𝟑𝒙^𝟐+𝟔𝒙𝒚^𝟐 )𝒅𝒙+(𝟔𝒙^𝟐 𝒚+𝟒𝒚^𝟐 )𝒅𝒚=𝟎

MSBTE AMS(M2)312301 K- Win- 2024 Full 𝑸𝟔.𝒂) ii) Solve〖 𝐬𝐞𝐜〗^𝟐⁡𝒙 𝐭𝐚𝐧⁡𝒚 𝒅𝒚+〖𝐬𝐞𝐜〗^𝟐⁡〖𝒚 𝐭𝐚𝐧⁡𝒙 𝒅𝒚=𝟎〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟔.𝒂) i) Form the DE 𝒚 = 〖𝒂𝒙〗^𝟐 +𝒃

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝐐𝟓.𝐜) ii) Evaluate ∫1_𝟐^𝟓▒〖√𝒙(√(𝟕−𝒙)+√𝒙) 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝐐𝟓.𝐜)∫1_𝟎^(𝝅⁄𝟐)▒〖√(sin⁡𝒙 )(√(sin⁡𝒙 )+√(cos⁡𝒙 )) 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟓.𝒃) ii) Evaluate ∫1_𝟎^(𝝅𝟐)▒〖〖𝐬𝐢𝐧〗^𝟑⁡𝒙 𝐜𝐨𝐬⁡𝒙 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝐐𝟓.𝐚) ii) Evaluate ∫1▒〖(𝟏−tan⁡𝒙)(𝟏+tan⁡𝒙 ) 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝐐𝟓.𝐚) i) Evaluate ∫1▒𝒅𝒙(𝟑−𝟐 〖𝒔𝒊𝒏〗^𝟐⁡𝒙 )

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝐐𝟒.𝐞) If probability that motor is defective is 0.01

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝐐𝟒.𝐝)𝐈𝐟 𝟐𝟎% 𝐨𝐟 𝐭𝐡𝐞 𝐛𝐨𝐥𝐭𝐬 𝐩𝐫𝐨𝐝𝐮𝐜𝐞𝐝 𝐛𝐲 𝐚 𝐦𝐚𝐜𝐡𝐢𝐧𝐞 𝐚𝐫𝐞

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟑.𝒄)Solve the DE(𝟐𝒙𝒚+𝒚^𝟐 )𝒅𝒙+(𝒙^𝟐+𝟐𝒙𝒚+𝐬𝐢𝐧⁡𝒚 )𝒅𝒚=𝟎

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟑.𝒃)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆 ∫1_𝟎^𝟒▒√(𝟑&𝒙+𝟓)(√(𝟑&𝒙+𝟓)+√(𝟑&𝟗−𝒙)) 𝒅𝒙

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟑.𝒂)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1_𝟎^(𝝅𝟐)▒𝒅𝒙(𝟓+𝟒 cos⁡𝒙 )

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟐.𝒅)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1▒〖𝟏√(𝟏𝟔−𝟔𝒙−𝒙^𝟐 ) 𝒅𝒙〗

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟐.𝒄)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1▒𝒆^𝒙 𝒔𝒊𝒏⁡𝒙 𝒅𝒙

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟐.𝒃)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1▒𝒄𝒐𝒔⁡𝒙(𝟏+𝒔𝒊𝒏⁡𝒙 )(𝒔𝒊𝒏⁡𝒙+𝟐) 𝒅𝒙

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟐.𝒂)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1▒𝟏〖√(𝟏−𝒙^𝟐 )(sin^(−𝟏)⁡𝒙)〗^𝟐 𝒅𝒙

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟏.𝒇) Find the approximate square root of a number10

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟏.𝒈) A fair coin is tossed 8 times.

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution𝑸𝟏.𝒆) Show that root of𝑥^3 –2𝑥–5=0 lies bet 2 & 3