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morpeh [17]
3 years ago
13

Help me fast please find the area???

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

1485 this is wrong I think

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Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
Virty [35]

Answer:

L(x)=1+\dfrac{1}{3}x

\sqrt[3]{0.95} \approx 0.9833

\sqrt[3]{1.1} \approx 1.0333

Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

a=0

g(0)=\sqrt[3]{1+0}=1

g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}

Therefore:

L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x

(b)\sqrt[3]{0.95}= \sqrt[3]{1-0.05}

When x = - 0.05

L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

\sqrt[3]{0.95} \approx 0.9833

(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

7 0
3 years ago
Round 4,386 to the nearest hundred​
professor190 [17]

Answer:

4,400 :)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
You earn $18 for watching three cars how much do you earn to Washing 2 cars
Sever21 [200]

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

6 0
3 years ago
A menu has three meat choices,
wolverine [178]

Answer:

18 ways

Step-by-step explanation:

Number of Meat choices = 3

Number of Vegetable choices = 3

Number of Desserts = 2

Number of ways dinner can be chosen :

Number of meat choices * Number of vegetable choices * number of desserts

3 * 3 * 2

= 18

Hence, dinner can be chosen in 18 different choices.

4 0
3 years ago
How you divide 288 by 16
Ratling [72]

Answer:

18

Step-by-step explanation:

16 |‾‾‾288‾‾‾

16 goes into 28 once = 1 (as the tens digit = 10)

28-16=12 (remainder)

128/16 =8

10 + 8 = 18

8 0
3 years ago
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