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4 years ago

Use euler's formula to find the missing number vertices:16 edges:43 faces:?

Mathematics

1 answer:

melamori03 [73]4 years ago

6 0

Answer:

The number of faces is 29

Step-by-step explanation:

we know that

The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two

$V- E + F= 2$

we have

$V=16$

$E=43$

substitute and solve for F

$16- 43 + F= 2$

$-27+F= 2$

$F= 2+27$

$F= 29$

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3 years ago

Use the equation m Subscript PQ Baseline equals StartFraction f left parenthesis x 1 plus h right parenthesis minus f left paren

babunello [35]

Answer:

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Step-by-step explanation:

For f(x) = 2x² you want to find the slope m using ...

m = (f(x+h) -f(x))/h

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m = (2(x+h)² -2x²)/h = (2x² +4hx +2h² -2x²)/h = 4x +2h

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_____

The attached graph shows a numerical estimate of the slope (f'(3)=12) and the line with that slope through the point P(3, 18). The line certainly appears to be tangent to the curve at that point.