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2 years ago

X = 3) Solve by completing the square. (3 poir x2 + 4x - 59 = 0

Mathematics

1 answer:

bonufazy [111]2 years ago

8 0

Answer:

9.83

Step-by-step explanation:

x2 + 4x- 59 = 0 +59

x2 + 4x = 59

6x=59

6x/6 = 59/6

x=9.83

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use Taylor's Theorem with integral remainder and the mean-value theorem for integrals to deduce Taylor's Theorem with lagrange r

Vadim26 [7]

Answer:

As consequence of the Taylor theorem with integral remainder we have that

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \int^a_x f^{(n+1)}(t)\frac{(x-t)^n}{n!}dt$

If we ask that $f$ has continuous $(n+1)$ th derivative we can apply the mean value theorem for integrals. Then, there exists $c$ between $a$ and $x$ such that

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}dt = \frac{f^{(n+1)}(c)}{n!} \int^a_x (x-t)^n d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{n+1}}{n+1}\Big|_a^x$

Hence,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{n!} \frac{(x-t)^{(n+1)}}{n+1} = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1} .$

Thus,

$\int^a_x f^{(n+1)}(t)\frac{(x-t)^k}{n!}d t = \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$

and the Taylor theorem with Lagrange remainder is

$f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \cdots + \frac{f^{(n)}(a)}{n!}(x-a)^n + \frac{f^{(n+1)}(c)}{(n+1)!}(x-a)^{n+1}$ .

Step-by-step explanation:

5 0

2 years ago

Please help me. I need help with this question.

iogann1982 [59]

Answer:

$367.38 is the cost to stain the entire deck.

Step-by-step explanation:

Here is what you need to know beforehand:

Diameter is a line that goes through a circle. Radius is a line that goes from the edge of the circle all the way to the center/a line that goes halfway through the circle.

--------------------------------------------------------------------------------------------------------------

First, find the area of the circle. Here is the formula:

Area = 3.14 (Pi) x r²

Since radius is half of the diameter (as explained above), you'll need to divide the diameter in half: 12m/2 = 6m

So the formula will look like this:

Area = 3.14 x 6²

Then, you just do the math:

Area = 3.14 x 6²

Area = 3.14 x 36

Area = 113.04

The goal of the problem is to find the amount of money Emma needs. Finally, all you need to do is multiply the amount it cost to stain per square meter by the total area of the deck:

Answer = 113.04 x 3.25

Answer = 367.38

$367.38 is the cost to stain the entire deck.

4 0

2 years ago

How do you know that 5.5 is to the right of 5 1/4 on the number line

Mamont248 [21]

Because it is greater, larger numbers are on the right of the number line...

4 0

2 years ago

Read 2 more answers

If 180°<θ<270°, and sin⁡θ=−3/4, what is the value of sin(−θ)?

Oxana [17]

Answer:

$sin(-\theta)=\frac{3}{4}$

Step-by-step explanation:

Given:

180°<θ<270° and $sin(\theta)=-\frac{3}{4}$

We know for any angle $\theta$ ,

$sin(-\theta)=-sin(\theta)$

∴ $sin(-\theta)=-(-\frac{3}{4})=\frac{3}{4}$

5 0

3 years ago

Last month Jim drove his car 2,718.3 miles. That brought the car’s total mileage to 87,416. What was the car’s mileage before la

stich3 [128]

To solve this problem you must apply the proccedure shown below:

1. You have that Jim drove the car 2,718.3 miles for a total mileage of 87,416.

2. Then, to calculate the mileage before last month, you only need to substract the total mileage given in the exercise above and the mileage drove last month, as following:

$87,416miles-2,718.3miles=84,697.7miles$

Therefore, the answer is: 84,697.7 miles.

3 0

3 years ago