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masya89 [10]
3 years ago
12

Please help! It’s urgent!

Mathematics
1 answer:
Andrei [34K]3 years ago
4 0

The first graph is a a function, because every vertical line crosses the line only once.

The second relation is not a function, because you're mapping multiple outputs for the same inputs.

The third relation is not a function, because again you're mapping multiple outputs for the same inputs 1 and 2.

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Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
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Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

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Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

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