Recent content by Nicola Sterritt

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    Calculating Average Speed: Solving the v=8sin2t+3cos2t Equation

    Sorry, I got confused with another question I was doing. The question was Find the general solution solution of the equation sin2x=-√3/2 and use it to find all the solutions for 0°≤x≤720°. ...NOT 360 as I had above. The solutions say that 120°,150°,300° and 330° but I think that the solutions...
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    Calculating Average Speed: Solving the v=8sin2t+3cos2t Equation

    Hi, Thank you. You may be able to help with one other question. Find the general solution solution of the equation sin2x=-√3/2 and use it to find all the solutions for 0°≤x≤360°. The solutions say that the answers are 120°,150°,300°,330°. I think that the solution set should be 0°≤2x≤360° for...
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    Calculating Average Speed: Solving the v=8sin2t+3cos2t Equation

    Hi, Believe it or not I am a teacher ! How embarrassing haha! We are having a debate about the solution to this question! I do not understand why the solution divides by 2 if you use the average value formula in integration to find average speed. If you substitute in values between 0 and 1...
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    Calculating Average Speed: Solving the v=8sin2t+3cos2t Equation

    Hello, I was wondering if someone out there could help me. The question: The speed, v metres per second, of a particle is given as v=8sin2t+3cos2t where t is in seconds. i) Find the total distance traveled in the time interval 0≤t≤1 ii) Find the average speed over this time interval.
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