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Effectus [21]
3 years ago
7

Find a power series representation for the following function.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
5 0

a. Recall that

For , we have

By integrating both sides, we get

If , then

so that

We can shift the index to simplify the sum slightly.

b. The power series for  can be obtained simply by multiplying both sides of the series above by .

c. We have

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Given the function f(x) = –0.5|2x + 2| + 1, for what values of x is f(x) = 6? x = 6, x = –5 x = 5, x = –5 x = 7, x = –6 no solut
allsm [11]

Answer:

Step-by-step explanation:

This is our absolute function for which we are tasked with finding the values of x that make the whole thing equal 6:

-.5 | 2x + 2 | + 1 = 6. Subtracting 1 from both sides gives us

-.5 | 2x + 2 | = 5. Dividing both sides by -.5 gives us

| 2x + 2 | = -10.

Because absolute value is in fact a distance measure, and one of the 2 things in math that will NEVER be negative is distance, there is no solution to this equation.

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4 years ago
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Evgen [1.6K]

Answer:

If we're measuring in the green the <u>25 degrees</u>

Step-by-step explanation:

80 degrees goes to 90 degrees and then to 100 degrees then to 105 degrees. So 80 to 105.

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2 years ago
The terminal side of an angle in standard position passes through P(-3,-4). What is the value of tan theta?
nika2105 [10]

This angle is in the third quadrant

tan theta = -4 / -3 = 4/3 answer (and theta = 233.13 degrees)

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3 years ago
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PLEASE HELP ASAP!!!!!!
Dafna1 [17]

Answer:

Step-by-step explanation:

Just multiply the sides. For example, the roses take 8x4=32 feet. if we want to know the area of Zinnias, we multiply the sides 8x12 and remove the roses, which would be 8x12-32=96-32=60 for the Zinnias.

For a)

The roses take 8x4

Zinnias take 8x12 - roses

Snapdragons take 16x12 - roses - zinnias

Petunias take 16x20 - snapdragons - zinnias- roses

b) The entire area of the garden is 20x16=320 square feet

The area of the Zinnias(including roses) is 8x12 = 96 square feet

To get the percent, we divide the smaller number by the bigger number and multiply by 100 or in practice 96/320x100=30%

c) Let's see the progression here. The width progresses in the first rectangle by four 8 to 12, then again by four 12, 16 and again by four 16 to 20, which means that the next rectangle would have a width of 20+4=24. Doing the sale analysis for the height, we get that the increase is with 4 feet at a time or the new rectangle would have a width of 24 and height of 20, which means a total area of 480 feet. We have to subtract all other rectangles or the new area would be 480 - (20x16) = 160 square feet

8 0
3 years ago
Round off to the underlined place values. 1 0.5242 2. 2.1616 3. 5.4852 4. 0.5862 5. 5.9658 6. 2.8959 7. 8.2584 8. 8.8956 9. 4.14
sladkih [1.3K]

Answer:

wheres the underline pls let me know what is underlined ill answer it on comment

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