2022 - 2021 Mathematics Past Paper PDF

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ThrillingTsilaisite

Uploaded by ThrillingTsilaisite

UAEU College of Medicine and Health Sciences

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calculus integration differential equations mathematics

Summary

This is a mathematics past paper for a senior high school, covering various calculus topics, including integration, differential equations, and other related concepts.

Full Transcript

2022 - 2021 - ‫ امتحان نهاية الفصل الدراسي الثالث‬- ‫ الرياضيات‬- ‫الصف الثاني عشر متقدم‬ -A Q.1: Find the area between two curves using definite integrations 1. 2. 3. 4. Q.2: Integrate rational functions using partial fractions in different cases 1. 2. 3. 4. Q.3: Integrate trigonometric...

2022 - 2021 - ‫ امتحان نهاية الفصل الدراسي الثالث‬- ‫ الرياضيات‬- ‫الصف الثاني عشر متقدم‬ -A Q.1: Find the area between two curves using definite integrations 1. 2. 3. 4. Q.2: Integrate rational functions using partial fractions in different cases 1. 2. 3. 4. Q.3: Integrate trigonometric functions using the substitution x=a tan(y) 1. 2. 3. 4. Q.4: Find arc length in a given interval using definite integration 1. 2. 3. 4. Q.5: Find the volume of a solid of revolution using the method of disks 1. 2. 3. 4. Q.6: Compute the area of a region using definite integration with y as a variable 1. 2. 3. 4. Q.7: Learn differential equations of the form y'=ky and their general solution 1. 2. 3. 4. Q.8: Use integration by parts to compute definite and indefinite integrals 1. 2. 3. 4. Q.9: Integrate trigonometric functions using the substitution x=a sec(y) 1. 2. 3. 4. Q.10: Integrate functions of the form sin^n(x) cos^m(x) 1. 2. 3. 4. Q.11: Solve problems involving differential equations of the form y'=ky satisfying an indicated initial condition 1. 2. 3. 4. Q.12: Use integration by parts to compute definite and indefinite integrals 1. 2. 3. 4. Q.13: Compute volume by means of definite integration using areas of cross sections 1. 2. 3. 4. Q.14: Solve physical problems involving velocity 1. 2. 3. 4. Q.15: Compute various interlays using integration by substitution 1. 2. 3. 4. Q.16: Find the volume of a solid of revolution by using the method of washers 1. 2. 3. 4. Q.17: Solve problems on projectiles 1. 2. 3. 4. Q.18: Solve mathematical problems involving applications on arc length or surface area 1. 2. 3. 4. Q.19: Compute integrals using completing a square before integrating 1. 2. 3. 4. Q.20: Compute integrals using direct computation and rules 1. 2. 3. 4. Q.21: Find the general solution of separable differential equations of first order 1. 2. 3. 4. Q.22: Find surface area of a solid of revolution using definite integration 1. 2. 3. 4. Q.23: Find the volume of a solid of revolution by using the method of cylindrical shells 1. 2. 3. 4. Q.24: Integrate functions of the form sec^m(x) tan^n(x) 1. 2. 3. 4. Q.25: Integrate trigonometric functions using the substitution x=a sin(y) 1. 2. 3. 4.

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