Compute 292,000 divide 100.

Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that

juin [17]

Answer:

The Taylor series of f(x) around the point a, can be written as:

$f(x) = f(a) + \frac{df}{dx}(a)*(x -a) + (1/2!)\frac{d^2f}{dx^2}(a)*(x - a)^2 + .....$

Here we have:

f(x) = 4*cos(x)

a = 7*pi

then, let's calculate each part:

f(a) = 4*cos(7*pi) = -4

df/dx = -4*sin(x)

(df/dx)(a) = -4*sin(7*pi) = 0

(d^2f)/(dx^2) = -4*cos(x)

(d^2f)/(dx^2)(a) = -4*cos(7*pi) = 4

Here we already can see two things:

the odd derivatives will have a sin(x) function that is zero when evaluated in x = 7*pi, and we also can see that the sign will alternate between consecutive terms.

so we only will work with the even powers of the series:

f(x) = -4 + (1/2!)*4*(x - 7*pi)^2 - (1/4!)*4*(x - 7*pi)^4 + ....

So we can write it as:

f(x) = ∑fₙ

Such that the n-th term can written as:

$fn = (-1)^{2n + 1}*4*(x - 7*pi)^{2n}$

6 0

2 years ago

Which of the following describes the probability distribution below?

7nadin3 [17]

Answer:

Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.

It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.

if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean.

8 0

2 years ago

Read 2 more answers

jeka57 [31]

Answer:

The scale factor is $\frac{3}{2}$

Step-by-step explanation:

The volume of the original prism is $V_P=980cm^3$

The volume of the dilated prism is $V_Q=3307.5cm^3$

Let the scale factor be $k$ .

To find the volume of the dilated prism, we multiplied by $k^3$ .

$\Rightarrow 980k^3=3307.5$

$\Rightarrow k^3=\frac{3307.5}{980}$

$\Rightarrow k^3=\frac{27}{8}$

$\Rightarrow k=\sqrt[3]{\frac{27}{8}}$

$\Rightarrow k=\frac{3}{2}$

8 0

2 years ago

A trapezoid has bases with lengths of 1.5 yards and 4 yards. The height is 12 yards. What is the area of the trapezoid?

Georgia [21]

Answer: 33 square yards

Explanation: To solve this, we must first add both bases together, 1.5 and 4.

1.5 + 4 = 5.5

Next, we must multiply 5.5 and 12

12 x 5.5 = 66

The last step is to divide our product by 2, similar what we do to triangles.

66/2 = 33
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Hope this helps!!

4 0

2 years ago

Write an inequality to represent the graph. a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with s

lesantik [10]

Answer:

$y> \frac{2x}{3} -7$