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geniusboy [140]
3 years ago
14

Find the linearization L(x) of the function at a. f(x) = x^4 + 2x^2, a = 1

Mathematics
1 answer:
gregori [183]3 years ago
8 0

The equation of the tangent line at x=1 can be written in point-slope form as

... L(x) = f'(1)(x -1) +f(1)

The derivative is ...

... f'(x) = 4x^3 +4x

so the slope of the tangent line is f'(1) = 4+4 = 8.

The value of the function at x=1 is

... f(1) = 1^4 +2·1^2 = 3

So, your linearization is ...

... L(x) = 8(x -1) +3

or

... L(x) = 8x -5

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Write and solve the equation and then check your answer.
sweet-ann [11.9K]

Answer:

- The correct equation is 6s = 7.80

- The solution of the equation is s = $1.30

Step-by-step explanation:

To find the product of 6 and a number, first we denote the unknown number as s.

The product of 6 and s is the same as 6s.

If the product of both numbers is $7.80, then 6s = $7.80

The correct equation is therefore 6s = $7.80

To get the value of s, we will divide both sides by 6 to have:

6s/6 = $7.80/6

s = $1.30

Based on the calculation, the following statements are true

- The correct equation is 6s = 7.80

- The solution of the equation is s = $1.30

8 0
3 years ago
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3 years ago
The instructions on the bag of concrete mix say to add 2 gallons of water to each 8 pound bag of concrete mix.
SVETLANKA909090 [29]

Answer:

B

Step-by-step explanation:

The ratio of water to mix is 1:4.

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Which function is the result of vertically stretching ƒ(x) = x2 – 7 by a factor of 2 and translating it downward 5 units?
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Step-by-step explanation:

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3 years ago
I need help with this
Andre45 [30]

Answer:

3 pairs for the price of two.

Step-by-step explanation:

$10 per pair

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then:

3 pairs costs $20

20/3 = $6.6667 each pair

  • Buy one and get 25% of the second

25% = 25/100 = 0.25

then:

first pair $10

second pair: 10 - (10*0.25) = 10 - 2.5 = $7.5

first + second pair = 10 + 7.5 = 17.5

2 pairs costs $17.5

17.5/2 = $8.75 each pair

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the best deal:

3 pairs for the price of two.

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