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CAD CAM

Welcome to **CAD CAM – MSBTE Learning Hub!**

Are you a diploma student looking for easy explanations of **MSBTE subjects** like **Basic Mathematics, Engineering Science, and other core papers**? You’re in the right place!

Our channel is dedicated to helping MSBTE students **understand every concept clearly** and **score better in exams**. Whether you’re studying from the **K-Scheme or I-Scheme**, we’ve got you covered.

### What You’ll Find Here:

- 📘 **Subject Tutorials:** Simple and clear explanations of MSBTE subjects like Mathematics, Science, and more.

- 🧩 **Previous Year Question Solutions:** Step-by-step solutions to important and repeated questions.

- 💡 **Important Questions & Tips:** Key topics, exam strategies, and shortcut methods for quick revision.

- 🎓 **Practical Guidance:** Learn concepts that help you in both exams and your engineering career.

Stay connected and learn with **CAD CAM**, your one-stop solution for all **MSBTE study materials.

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3:38

MSBTE BMS (M1) 311302 K -Sum 2025 Q5. b) ii) 𝑷𝒓𝒐𝒗𝒆 𝒕𝒉𝒂𝒕 tan^(−𝟏)⁡𝟏+tan^(−𝟏)⁡𝟐+tan^(−𝟏)⁡𝟑=𝝅

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11:48

MSBTE BMS (M1) 311302 K -Sum 2025 Q3 b) Prove〖𝒄𝒐𝒔〗^(−𝟏)⁡(𝟒/𝟓)+〖𝒕𝒂𝒏〗^(−𝟏)⁡(𝟏𝟐/𝟏𝟑)=〖 𝒄𝒐𝒔〗^(−𝟏)⁡(𝟑𝟑/𝟔𝟓)

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4:44

MSBTE BMS (M1) 311302 K -Sum 2025 Q5. b) i)𝑰𝒇 𝑨=𝟑𝟎°, 𝒗𝒆𝒓𝒊𝒇𝒚 𝒕𝒉𝒂𝒕 sin⁡〖𝟐𝑨=𝟐 sin⁡〖𝑨 cos⁡〖𝑨.〗〗〗

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7:46

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟑. 𝒂) 𝑷𝒓𝒐𝒗𝒆 𝒕𝒉𝒂𝒕, (𝒔𝒊𝒏 𝟒𝜽+𝒄𝒐𝒔 𝟐𝜽)/(𝟏+𝒄𝒐𝒔 𝟐𝜽+𝒔𝒊𝒏 𝟒𝜽 ) =tan⁡𝟐𝜽

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3:47

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸 𝟐 𝒅) 𝑰𝒇 𝐭𝐚𝐧⁡𝑨= 𝟏/𝟐,𝐭𝐚𝐧⁡𝑩=𝟏/𝟑, find 𝐭𝐚𝐧⁡(𝑨+𝑩)

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8:56

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟐 𝒄) 𝑹𝒆𝒔𝒐𝒍𝒗𝒆 𝒊𝒏𝒕𝒐 𝒑𝒂𝒓𝒕𝒊𝒂𝒍 𝒇𝒓𝒂𝒄𝒕𝒊𝒐𝒏 (𝒙+𝟑)/(𝒙+𝟏)(𝒙+𝟓)

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7:32

MSBTE BMS 311302 K -Sum 2025 𝑸𝟐𝒃)𝑭𝒊𝒏𝒅 𝒙,𝒚,𝒛{𝟒[■8(𝟏&𝟐&𝟎@𝟐&−𝟏&𝟑)]−𝟐[■8(𝟏&𝟑&−𝟏@𝟐&−𝟑&𝟒)]}[■8(𝟐@𝟎@−𝟏)]=

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15:41

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟐 𝑰𝒇 𝑨=[■8(𝟐&𝟒&𝟒@𝟒&𝟐&𝟒@𝟒&𝟒&𝟐)], show that 𝑨^𝟐−𝟖𝑨 is Scalar matrix

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3:16

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟏 𝒇 )"If" 𝒇(𝒙)= 𝒙^𝟒 –𝟐𝒙+𝟕", then find " 𝒇 (𝟎)+ 𝒇 (𝟐).

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5:08

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟏 𝒅)"Find " 𝒅𝒚/𝒅𝒙, 𝒊𝒇 𝒚=𝒙^𝟏𝟎+〖𝟏𝟎〗^𝒙+𝒆^𝒙+𝒂^𝒂

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3:39

MSBTE BMS (M1) 311302 K -Sum 2025𝑸𝟏 𝒃) 𝒘𝒊𝒕𝒉𝒐𝒕 𝒖𝒔𝒊𝒏𝒈 𝒄𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒐𝒓 ,𝒇𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 𝒐𝒇 𝐜𝐨𝐬⁡〖𝟕𝟓°〗

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3:00

MSBTE BMS (M1) 311302 K -Sum 2025 𝑸𝟏.𝒂 𝑭𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 𝒐𝒇Find ‘x’, if 〖𝐥𝐨𝐠〗_𝟑⁡(𝒙+𝟓)=4

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37:52

MSBTE BMS (M1) 311302 K -Sum 2026 Q5.a) matrix inversion method:𝒙+𝟑𝒚+𝟐𝒛=𝟔, 𝟑𝒙–𝟐𝒚+𝟓𝒛=𝟓, 𝟐𝒙–𝟑𝒚+𝟔𝒛=𝟕.

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4:53

MSBTE BMS (M1) 311302 K -Sum 2026Q 3 b) Prove tha〖𝒕𝒂𝒏〗^(−𝟏)⁡(𝟏)+〖𝒕𝒂𝒏〗^(−𝟏)⁡(𝟐)+〖 𝒕𝒂𝒏〗^(−𝟏)⁡〖(𝟑)=〗 𝝅

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6:11:42

MSBTE BMS (M1) 311302 Question Bank Unit 01

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3:05:12

MSBTE BMS 311302 Unit 02 Trigonometry

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7:34

MSBTE BMS (M1) 311302 K -Sum 2026Q5. b) ii) Simplify,〖𝐜𝐨𝐬〗^𝟐⁡(𝟏𝟖𝟎°−𝜽)/𝐬𝐢𝐧⁡(−𝜽) +〖𝒄𝒐𝒔〗^𝟐⁡(𝟐𝟕𝟎°+𝜽)/𝐬𝐢𝐧

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3:22

MSBTE BMS (M1) 311302 K -Sum 2026Q5. b) i)𝑰𝒇 𝐭𝐚𝐧⁡𝑨=𝟏/𝟐,𝐭𝐚𝐧⁡𝑩=𝟏/𝟑, 𝒇𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 𝒐𝒇 𝐭𝐚𝐧⁡(𝑨+𝑩).

CAD CAM

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9:37

MSBTE BMS (M1) 311302 K -Sum 2026𝑸𝟑. 𝒂) 𝑷𝒓𝒐𝒗𝒆 𝒕𝒉𝒂𝒕,(𝟏+sin⁡〖𝜽−cos⁡𝜽 〗)/(𝟏+sin⁡〖𝜽+cos⁡𝜽 〗 )=tan⁡(𝜃/2)

CAD CAM

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9:49

MSBTE BMS (M1) 311302 K -Sum 2026𝑸 𝟐 𝒅)"" 𝒕𝒂𝒏⁡(𝟐𝟏𝟎°) 𝒄𝒐𝒕⁡〖(𝟑𝟗𝟎°)−𝒕𝒂𝒏⁡〖(𝟒𝟐𝟎°) 𝒄𝒐𝒕⁡〖(𝟐𝟒𝟎°)=𝟎〗〗〗

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15:59

MSBTE BMS (M1) 311302 K -Sum 2026 Question 𝑸𝟐 𝒄)"Resolve into partial fraction (𝒙−𝟓)/(𝒙(𝒙+𝟑)(𝒙−𝟐))

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20:24

MSBTE BMS (M1) 311302 K -Sum 2026 Question paperQ 2 b) If A =[■8(−𝟏&𝟓&𝟏@𝟐&𝟑&𝟒@𝟕&𝟎&𝟗)], find Adj A.

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9:37

MSBTE BMS (M1) 311302 K-Sum 2026r𝑸𝟐. 𝒂) 𝒊𝒇 {𝟓[■8(𝟏&𝟎@𝟎&𝟏@𝟏&𝟏)]−𝟑[■8(𝟏&𝟐@−𝟐&𝟑@𝟑&𝟏)]}[■8(𝟐@𝟏)]=

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5:41

MSBTE BMS (M1) 311302 K -Sum 2026 Question paper Soltution𝑸𝟏 𝒃)"Prove that " 𝒄𝒐𝒔⁡〖(𝝅+𝜽)=−𝒄𝒐𝒔⁡〖𝜽.〗〗

CAD CAM

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6:43

MSBTE BMS (M1) 311302 K -Sum 2026 𝑸𝟏.𝒂)𝑭𝒊𝒏𝒅 𝒕𝒉𝒆 𝒗𝒂𝒍𝒖𝒆 ‘𝒙’, 𝒊𝒇 〖𝒍𝒐𝒈〗_𝟑⁡𝒙−〖𝒍𝒐𝒈〗_𝟑⁡(𝒙−𝟐) = 𝟑.

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3:42

MSBTE BMS (M1) 311302 K -Sum 2026 Question paper Solution 𝑸𝟏 𝒅) 𝑰𝒇 𝒇(𝒙)= 𝒙^𝟒−𝟐𝒙 +𝟕, 𝒇𝒊𝒏𝒅 𝒇(𝟎)+ 𝒇(𝟐)

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2:13

MSBTE BMS (311302) Matrices ProblemFind Matrix X such that , [■8(𝟒&𝟓@−𝟑&𝟔)]+𝑿=[■8(𝟏𝟎&−𝟏@𝟎&−𝟔)]

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3:39

MSBTE BMS (311302) Matrices Problem 𝑭𝒊𝒏𝒅 𝒕𝒉𝒆 𝑨 𝒊𝒇 𝟐𝑨+𝟑[■8(𝟏&𝟑@𝟐&𝟓)]=[■8(𝟓&𝟕@𝟔&𝟑)]

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7:04

MSBTE BMS (311302) Matrices Problem I𝒇 ,A=[■8(𝟏&𝟑&𝟐@−𝟏&𝟐&𝟎@𝟒&𝟎&𝟑)];𝑩=[■8(𝟏&𝟎&𝟎@𝟏&𝟐&𝟎@𝟏&𝟎&𝟑)]𝒂𝒏𝒅 𝑰𝒇 ,

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4:17

MSBTE BMS (311302) Matrices Problem If A=[■8(𝟏&𝟐&𝟑@𝟒&𝟓&𝟔)],𝑩=[■8(𝟏@𝟖@𝟗)]; find AB

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9:24

MSBTE BMS (311302) Matrices ProblemIf A=[■8(𝟏&−𝟓@𝟔&𝟒)] , B=[■8(𝟏&𝟎@𝟎&−𝟏)], Find the matrix 𝑨𝑩 – 𝟐𝑰,

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2:37

MSBTE BMS (311302) Matrices Problem If A=[■8(𝟓&𝟑@−𝟏&𝟏)] , B=[■8(𝟐&−𝟏@𝟑&𝟐)], Find 𝟐𝑨− 𝟑𝑩 .

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3:36

MSBTE BMS (311302) Matrices Problem If X=[■8(𝟏&𝟐@−𝟑&𝟒)] , Y=[■8(𝟒&𝟓@𝟏&−𝟑)], Find 3X+𝒀.

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5:07

MSBTE BMS (311302) Matrices Problem If A=[■8(𝟏&−𝟓@𝟔&𝟒)] , B=[■8(𝟏&𝟎@𝟎&−𝟏)], Find the matrix 𝑨𝑩 – 𝟐𝑰

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2:36:56

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

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4:57:36

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

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7:50:45

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

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27:27

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

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20:01

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

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16:30

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

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12:15

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

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22:15

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

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10:59

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

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5:47

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

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6:07

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

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5:33

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〗

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6:46

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

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7:59

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

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8:53

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

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4:38

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟓.𝒃) ii) Evaluate :∫1_𝟎^(𝝅/𝟐)▒〖〖𝐬𝐢𝐧〗^𝟑⁡𝒙 𝐜𝐨𝐬⁡𝒙 𝒅𝒙〗

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4:58

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

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9:29

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

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7:04

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

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16:17

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

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5:28

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

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8:21

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

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10:57

MSBTE AMS(M2)312301 K- Win- 2024 Full Solution 𝑸𝟑.𝒂)𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒆∫1_𝟎^(𝝅/𝟐)▒𝒅𝒙/(𝟓+𝟒 cos⁡𝒙 )

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8:13

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

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11:02

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

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12:49

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

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