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kenny6666 [7]
4 years ago
13

Determine the Taylor series to represent cos(pi/3+h)

Mathematics
1 answer:
Dmitrij [34]4 years ago
7 0
Develop <span> cos(</span>π<span>/3 + h) =

=  1/2 -h.</span>√3/2 - h²/4√3 +h³/4√3 + h⁴/48 - h⁵/80√3 - h⁶/1440 +....
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Please answer the questions with full working and explantation.
kow [346]

Answer:

x = 4

Step-by-step explanation:

Given

\frac{1}{x+5} = \frac{1}{4x-7} ( cross- multiply )

4x - 7 = x + 5 ( subtract x from both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

8 0
4 years ago
Hey guys! Could someone help me with this problem? I got the wrong answer! The answer is B, but I don’t know how to get it! Coul
asambeis [7]
When it says 'which has a greater rate of change' it is referring to 'what has a greater slope.' So, let's calculate each thing's slope:

Table:
I'm going to pick the easiest values to work with, so I'll pick the points (0, -2) and (1, -9/5) - I simplified the mixed fraction. So, here we go, the slope formula is:
m =\frac{y_2-y_1}{x_2-x_1}
m = \frac{- \frac{9}{5} - (-2)}{1-0} = \frac{- \frac{9}{5} - ( -\frac{10}{5} )}{1-0}
m = \frac{ \frac{1}{5} }{1} = \frac{1}{5}

So, the table's slope is -1/5.

Graph
We can, again, pick two points. I'll pick the two given: (5, 0) and (0, -3).  Let's start off with the same formula:
m =\frac{y_2-y_1}{x_2-x_1}
m = \frac{-3-0}{0-5} = \frac{3}{5}

The graph's slope is 3/5.

Now, we just have to decide which is bigger: -1/5 or 3/5. So, clearly:
3/5 > -1/5. 

The 3/5 slope was the graph, hence it has the greater rate of change (that's why it's B). If anything doesn't make sense, feel free to DM me or ask!
6 0
3 years ago
Figure ABCD is a parallelogram.
hram777 [196]

Answer:

7

Step-by-step explanation:

Since ABCD is a parallelogram

Then AD//BC

Then:

4 0
3 years ago
Read 2 more answers
(4x+3/2y)+(7/2x+7y) whats the width
kolezko [41]

it is 16 ...........................................

4 0
3 years ago
Assume that the GMAT scores across the U.S. follow a bell shaped distribution (symmetric and unimodal) with mean 549 and standar
blondinia [14]

Answer:

The GMAT score corresponding to the 16th percentile is 473.

Step-by-step explanation:

Empirical Rule.

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

68% of the measures within 1 standard deviation of the mean.

This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).

In this question:

Mean of 549, standard deviation of 76.

16th percentile:

One standard deviation below the mean, so 549 - 76 = 473.

The GMAT score corresponding to the 16th percentile is 473.

5 0
3 years ago
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