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Sophie [7]
3 years ago
7

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers

to four decimal places.) (8.99)3 using differentials
Mathematics
1 answer:
Vesna [10]3 years ago
4 0

Answer:

726.572699

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

x = 9

Δx = -0.01

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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Answer:

see below

Step-by-step explanation:

(3x + 8) units by (6x + 5) units.

A = l*w

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   Distribute

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Combine terms

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3 0
3 years ago
16x − 7 ≤ −71<br><br> find x
My name is Ann [436]
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7 0
3 years ago
Expand and simplify (x-7)(x+3)
velikii [3]
X(x+3)-7(x+3)
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7 0
3 years ago
Read 2 more answers
Help please its math on this test.
Karo-lina-s [1.5K]

Step-by-step explanation:

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Therefore 17/8 and 34/16 are terminating whereas 2/13, 5/24 and 6/7 are repeating decimals.

3 0
3 years ago
The amount of money Tom has is 75% of Sallys amount of money. After Sally spent $120 and Tom saved all his money Tom's amount of
egoroff_w [7]

Answer: sally initially has $240, Tom initially has $180.

Step-by-step explanation:

Let initial amount of money sally has = x

Then, initial amount tom has = 75% * x = 0.75x

Now to present,

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6 0
3 years ago
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