Combination of 2 formulas for a graph

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The discussion revolves around combining two waveform formulas, V_c and V_a, to create a new output, V_0, for analysis. The user is attempting to plot these waveforms and is seeking guidance on how to correctly combine them, specifically for amplitude modulation. Key points include the need to clarify the exact problem and the correct mathematical representation of V_0, which should be expressed as V_0 = [4 + 2cos(2π10x10^3t)]cos(2π125x10^3t). There is also a focus on using Desmos for plotting and ensuring the time scale is appropriate for visual clarity. The conversation emphasizes the importance of understanding the underlying mathematical principles to achieve the desired output.
  • #31
leejohnson222 said:
I would say number 3 and 4 are correct
No.

We are told x = (a+b)c.

We can choose any values we want for a, b and c. For example, suppose a= 1, b =2 and c = 5.

We can put the chosen values in so that we know what x is for our chosen values of a, b and c;
x = (a+b)c = (1+2)*5 = 3*5 = 15

Choice 3) is x = (a+c)b. This gives x = (1+5)*2 = 6*2 = 12. That’s not equal to 15! So choice 3) is wrong.

There is only one correct answer, choice 4), x = ac + bc = 1*5 + 2*5 = 5+10 = 15.

This is very basic maths. If you are on some sort of course which requires maths, you need to do some revision/catching-up. There’s plenty of online stuff available, for example BBC Bitesize Maths. Good luck.
 
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  • #32
i appreaciate your assistance, yes i am on a course after a 15 year break from maths, and i know some of the basic rules are letting me down, with brackets etc, i actually did exactly this by substituing for numbers and went to work out all of the ones your wrote up, problem is its hard after a 10 hour day and sorting the kids out, anyway no excuse i need to improve here to progress. thanks again
 

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