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dezoksy [38]
3 years ago
9

1. Use the given Taylor polynomial p 2 to approximate the given quantity.

Mathematics
1 answer:
KiRa [710]3 years ago
6 0

Answer:

Part 1:

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

Error=0.5618*10^{-4}

Step-by-step explanation:

Given:

f(x)=e^{x}\\f(-0.07)=e^{-0.07}

P₂(x)=1-x+\frac{x^2}{2}

Solution:

Part 1:

P₂(x)=1-x+\frac{x^2}{2}

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)=1-0.07+\frac{0.07^2}{2}

P₂(0.07)=0.93245≈e^{-0.07}

Part 2:

e^{-0.07}=0.93239382 (Calculated using Calculator)

Error=|e^{-0.07}-P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error=0.5618*10^{-4}

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3 years ago
How do you solve this?​
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Answer:

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Step-by-step explanation:

= (6.05 x 3.05) x 10^(5+4) / (4.27 x 1.2) x 10^(4+4)

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3 years ago
One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, wh
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Step-by-step explanation:

7 0
3 years ago
7. Jerry has 23 coins in nickels, n, and dimes, d. He
aliya0001 [1]

Answer:

17 nickles !

Step-by-step explanation:

First, identify the variables:

n = amount of nickels

d = amount of dimes

Next, setup the equations based on what you know.  The first equation is:

n + d = 28

For the second equation, we know that a dime is worth 10¢ and a nickel is 5¢, so it should be:

0.05n + 0.10d = 1.95

This a three-step answer:

In one formula (you can use any of them; most people use the simplest one), single out the variable on one side

Apply the first formula into the second formula, and solve it to get the value of one variable

Apply the answer from the second formula into the first formula, and solve it to get the value of the other variable

======

Step One:

n + d = 28

n + d - d = 28 - d

n = 28 - d

Step Two:

0.05n + 0.10d = 1.95

(0.05 * (28 - d)) + 0.10d = 1.95

1.40 - 0.05d + 0.10d = 1.95

1.40 + 0.05d = 1.95

1.40 - 1.40 + 0.05d = 1.95 - 1.40

0.05d = 0.55

d = 11

Step Three:

n = 28 - d

n = 28 - 11

n = 17

======

Your answer should be 17 nickels and 11 dimes.

You can double check by applying the variables into both formulas.

n + d = 28

17 + 11 = 28

28 = 28

0.05n + 0.10d = 1.95

(0.05 * 17) + (0.10 * 11) = 1.95

0.85 + 1.10 = 1.95

1.95 = 1.95

I hope this helped.

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