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Harman [31]
3 years ago
9

Consider the following function. f(x) = 2/x, a = 1, n = 2, 0.6 ≤ x ≤ 1.4 (a) Approximate f by a Taylor polynomial with degree n

at the number a. T2(x) = 2−2(x−1)+(x−1)2 (b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to eight decimal places.) |R2(x)| ≤

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

Answer:

Step-by-step explanation: please go through the attached file for detailed explanation .

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Area of this composite figure
ankoles [38]

Answer:

The area of a triangle is equal to its base times its height divided by 2: \begin{align*}A=\frac{bh}{2}\end{align*}. In order to find the composite area of two or more shapes, simply find the area of each shape and add them together.

Step-by-step explanation:

6 0
2 years ago
One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39
IrinaVladis [17]

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.

4 0
3 years ago
N a​ region, there is a 0.70.7 probability chance that a randomly selected person of the population has brown eyes. assume 1414
taurus [48]
'll use the binomial approach. We need to calculate the probabilities that 9, 10 or 11 
<span>people have brown eyes. The probability that any one person has brown eyes is 0.8, </span>
<span>so the probability that they don't is 1 - 0.8 = 0.2. So the appropriate binomial terms are </span>

<span>(11 C 9)(0.8)^9*(0.2)^2 + (11 C 10)(0.8)^10*(0.2)^1 + (11 C 11)(0.8)^11*(0.2)^0 = </span>

<span>0.2953 + 0.2362 + 0.0859 = 0.6174, or about 61.7 %. Since this is over 50%, it </span>

<span>is more likely than not that 9 of 11 randomly chosen people have brown eyes, at </span>
<span>least in this region. </span>

<span>Note that (n C r) = n!/((n-r)!*r!). So (11 C 9) = 55, (11 C 10) = 11 and (11 C 0) = 1.</span>
8 0
3 years ago
1. Find the value of the expression.<br>6 = 4[3(5 - 8) + 6] + 7​
Art [367]

Answer:

24

Step-by-step explanation:

5 0
3 years ago
What's 5and24/10 divided by 4?
Alchen [17]
First, convert 5 and 24/10 into a mixed fraction:

5 and 24/10 = 74/10

Now, divide 74/10 by 4:

74/10 ÷ 4 = 74/10 × 1/4
                
= 74/40
                = 37/20
                = 1 and 17/20

(Remember that dividing requires you to reciprocate 4)

Hope this helps!


5 0
3 years ago
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