Calculus Examples

Determine if the Point is on the Graph
f(x)=3x2-3f(x)=3x23 , (0,4)(0,4)
Step 1
Evaluate f(x)=3x2-3f(x)=3x23 at x=0x=0.
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Step 1.1
Replace the variable xx with 00 in the expression.
f(0)=3(0)2-3f(0)=3(0)23
Step 1.2
Simplify the result.
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Step 1.2.1
Simplify each term.
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Step 1.2.1.1
Raising 00 to any positive power yields 00.
f(0)=30-3f(0)=303
Step 1.2.1.2
Multiply 33 by 00.
f(0)=0-3f(0)=03
f(0)=0-3f(0)=03
Step 1.2.2
Subtract 33 from 00.
f(0)=-3f(0)=3
Step 1.2.3
The final answer is -33.
-33
-33
-33
Step 2
Since -3344, the point is not on the graph.
The point is not on the graph
Step 3
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 [x2  12  π  xdx ]  x2  12  π  xdx  
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