1. Let f(x)=x2 on [0,3]. Find c in [a,b] such that ∫ab​f(x)dx=f(c)(b−a). 2. Mark the point (c,f(c)) on the graph of f(x)

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1 Let F X X2 On 0 3 Find C In A B Such That Ab F X Dx F C B A 2 Mark The Point C F C On The Graph Of F X 1 (58.34 KiB) Viewed 18 times

1 Let F X X2 On 0 3 Find C In A B Such That Ab F X Dx F C B A 2 Mark The Point C F C On The Graph Of F X 2 (96.12 KiB) Viewed 18 times

1. Let f(x)=x2 on [0,3]. Find c in [a,b] such that ∫ab​f(x)dx=f(c)(b−a). 2. Mark the point (c,f(c)) on the graph of f(x)=x2.
3. In terms of area, what does ∫ab​f(x)dx represent? Shade this area on the graph. 4. In terms of area, what does f(c)(b−a) represent? Shade this area on the graph. (Hint: If you are unsure of what you should shade here, think about what kinds of area can be found by multipliying two numbers.) 5. How are these two areas related?