NMM 1412A/B
UWO
Course Overview
Lessons & Practice
I. Welcome
1. Pre-Calculus (Review)
5hr1.18.1. Basics of Complex Numbers1.18.2. Operations With Complex Numbers1.18.3. Example1.18.4. Practice1.18.5. Polar Form1.18.6. Geometric Interpretation of Multiplication1.18.7. Example1.18.8. Practice1.18.9. Practice1.18.10. Powers and Root1.18.11. Example1.18.12. Example1.18.13. Practice1.18.14. Practice
2. Limits and Continuity
1.8hr2.14.1. One-sided Limits2.14.2. Limits2.14.3. Special Limits2.14.4. Limits2.14.5. Limits2.14.6. Limits2.14.7. Limits2.14.8. Limits2.14.9. Limits2.14.10. Limits: Indeterminate forms2.14.11. Limits2.14.12. IVT2.14.13. IVT2.14.14. IVT2.14.15. Fundamental Trig Limit2.14.16. Fundamental Trig Limit2.14.17. Squeeze Theorem2.14.18. Squeeze Theorem2.14.19. Squeeze Theorem2.14.20. Continuity
3. Differentiation
2.5hr3.18.1. Derivative by Definition3.18.2. Basic Derivatives3.18.3. Basic Derivatives3.18.4. Derivative by Definition3.18.5. Chain Rule3.18.6. Chain Rule3.18.7. Quotient Rule3.18.8. Quotient Rule3.18.9. Power of a Function Rule3.18.10. Implicit Differentiation3.18.11. Implicit Differentiation3.18.12. Second Derivative3.18.13. Logarithmic Differentiation3.18.14. Logarithmic Differentiation 3.18.15. Inverse Trigonometric Derivatives3.18.16. Tangent Lines3.18.17. Tangent Lines3.18.18. Horizontal Tangent Lines3.18.19. Product Rule3.18.20. Product Rule3.18.21. Product Rule3.18.22. Normal Line
4. Transcendental Functions
26min5. Applications of Differentiation
4hr5.18.1. Related Rates5.18.2. Related Rates5.18.3. Related Rates5.18.4. Linear Approximation5.18.5. Linear Approximation5.18.6. Taylor Series from Definition5.18.7. Taylor Polynomials5.18.8. Maclaurin Polynomial5.18.9. Newton's Method5.18.10. Newton's Method5.18.11. L'Hopital's Rule5.18.12. L'Hopital's Rule5.18.13. L'Hopital's Rule5.18.14. Limits5.18.15. L'Hopital's Rule5.18.16. L'Hopital's Rule5.18.17. Limits5.18.18. Limits5.18.19. Extreme Value Theorem5.18.20. Rolle's Theorem5.18.21. Rolle's Theorem5.18.22. MVT5.18.23. MVT5.18.24. MVT5.18.25. MVT5.18.26. Intervals of Increase and Decrease5.18.27. Intervals of Increase and Decrease5.18.28. Critical Points5.18.29. Critical Points5.18.30. Extrema5.18.31. Extrema5.18.32. Second Derivative Test5.18.33. Curve Sketching5.18.34. Curve Sketching5.18.35. Curve Sketching5.18.36. Optimization5.18.37. Optimization5.18.38. Optimization
6. Integrals
2.8hr6.16.1. Antiderivatives: Indefinite Integrals6.16.2. Indefinite Integral with Trig and Inverse Trig6.16.3. Definite Integral with Trig6.16.4. Integration by Substitution6.16.5. Integration by Substitution6.16.6. Integration by Substitution6.16.7. Integration by Substitution6.16.8. Computing Integrals6.16.9. Finite Sums6.16.10. Finite Sums6.16.11. Finite Sums6.16.12. Riemann Sums6.16.13. Riemann Sums6.16.14. Riemann Sums6.16.15. Integral from Definition6.16.16. Integral from Definition6.16.17. Definite Integral6.16.18. Substitution with Definite Integral6.16.19. Integration6.16.20. Definite Integral6.16.21. FTC I6.16.22. FTC I6.16.23. FTC I
7. Differential Equations
1.2hrI Welcome
Free Activity
Welcome to Integral Calculus!
My name is Corey and I'm the instructor for this course. Feel free to go through this course at your own pace.
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Answered
L
Layan E
Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.Use the Intermediate Value Theorem to show that thereis a root of the given equation in the specified interval.
sin(x)=x2−x, x∈(1,2)
C
Corey M
InstructorWhile this isn't quite the place for this question (please refer to the IVT section in the course), and we can't really just solve random problems for you, I can give you a bit of a hint: You could try moving everything to one side of the equation and treating it like a function, and then see if you can't find function values within your specified range that return a positive value and a negative value (another hint: try the endpoints of your interval first). If you're able to do that, then the IVT tells us that there should exist a function input between those two points that returns 0 or, in other words, that is a root.