Use the washer method to find the volume?

Use The Washer Method To Find The Volume?

Answers

Answer 1

It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

Use The Washer Method To Find The Volume?
Answer 2

The two curves y = 8 and y = 8x ² intersect for

8 = 8x ²   →   x ² = 1   →   x = -1, x = 1

but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.

Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or

π (64 - 64x ⁴) ∆x

Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,

∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹

… = π (64 - 64/5)

… = 256π/5

THANKS


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Answer:

450

Step-by-step explanation:

9×50=450

have a good day

Find the derivatives.

Answers

f ' (0) exists if the limit,

[tex]\displaystyle \lim_{h\to0}\frac{f(0+h)-f(0)}h[/tex]

exists, and f ' (0) has the value of this limit.

In order for this limit to exist, both limits from either side of h = 0 must exist.

Suppose h < 0. Then 0 + h is also negative, so by definition of f(x) we have

f (0 + h) = ((0 + h) + 1)² = h ² + 2h + 1

Then in the limit, if h is approaching 0, it must be from below or from the left:

[tex]\displaystyle \lim_{h\to0^-}\frac{f(0+h)-f(0)}{h} = \lim_{h\to0^-}\frac{(h^2+2h+1)-1}{h} = \lim_{h\to0^-}(h+2) = 2[/tex]

Now suppose h > 0, so that 0 + h is positive and h approaches 0 from above or from the right. Then

f (0 + h) = 2 (0 + h) + 1 = 2h + 1

and

[tex]\displaystyle \lim_{h\to0^+}\frac{f(0+h)-f(0)}h = \lim_{h\to0^+}\frac{(2h+1)-1}{h} = \lim_{h\to0^+}2 = 2[/tex]

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Select the correct answer. Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0? A. y=4/5x + 4/5 B. y=5/4x
C. y=4/5 D. x=5/4

Answers

Answer: D

Step-by-step explanation: i did this

Answer:

C. y = 4/5

Step-by-step explanation:

The line parallel to the x-axis has same coordinate for any value of x. The slope is zero.

This line has the form:

y = b, where b is the y-intercept.

The only option with similar form is C

4. Tom rides his bike a total of 6 14 miles to work over the course of 5 days.
How far does he ride each day?
How far will Tom ride his bike to and from work in 3 weeks?

Answers

6 14 miles in 5 days.

In 1 day Tom rides 6 14/5 = 1 228 miles

1 week has 7 days

5 weeks have 35 days

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What is the domain of the function in this table?

A. {3, 4, 5, 6)
B. {2,4,5)
C. (3,4)
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Answers

Answer:

3, 4 , 5 , 6 is your answer.

I HOPE IT WILL HELP YOU.

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TEDDYLOVER....

can yall help me with maths I will give you the brainlis something soo​

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1. 21 2. Most popular is wedges 3.17 4.56 5.Boots


A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.12 for each minute of calls. Plan B costs $15 plus an additional $0.10 for
each minute of calls.
For what amount of calling do the two plans cost the
Same?

Answers

Answer:

250 minutes

Step-by-step explanation:

10 + 0.12x = 15 + 0.10x

0.02x + 10 = 15

0.02x = 5

x = 250

Your welcome!

Kayden Kohl

8th Grade Student

Write an integer to represent spending $50

Answers

The integer that represents spending $50 is -50

A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.

Answers

The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.

Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute

Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minute

Change in the volume of solution in the tank per minute can be calculated thus :

Change in volume = (Entry rate - Discharge rate) × time

[tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]

The total change in the volume of solution in the tank after 10 minutes can be calculated thus :

Change in volume per minute × time

[tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]

Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes

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Which expression is equivalent to this polynomial expression?

Answers

Answer:

Where is the expression

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Its c :)

Step-by-step explanation:

plato

how do i calculate slope?​

Answers

Answer:

In order to calculate the slope, you'll need 2 ordered pairs (x, y).

The formula for calculating the slope is:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

where m = slope

(x1, y1) = first ordered pair

(x2, y2) = second ordered pair

Regardless of which values for the (x1, y1) and (x2, y2) you choose, you would still end up with the same slope (as long as it's done correctly).

As an example, let's say you have the following set of points:

(2, 4) (8, 1)

Let (x1, y1) =  (2, 4)

     (x2, y2) = (8, 1)

Plug these values into the slope formula:

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{1 - 4}{8 - 2} = \frac{-3}{6} = -\frac{1}{2}[/tex]

Therefore, the slope of the line is - 1/2.

To prove that you'll end up with the same value for the slope:

This time, let (x1, y1) =  (8, 1)

                     (x2, y2) = (2, 4)

[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]

[tex]m = \frac{4 - 1}{2 - 8} = \frac{3}{-6} = - \frac{1}{2}[/tex]

Therefore, the value of the slope is still -1/2.

Please mark my answers as the Brainliest if you find my explanations helpful :)

How to find t=3,500•(1.10)^100, round to the nearest whole number

Answers

Answer:

To find 3,500 by near to 3,550

Step-by-step explanation:

the nearest number of 3,500 is 3,500


1.
Rectangle A measures 12 cm by 3 cm. Rectangle B is a scaled copy of Rectangle A. Select all of
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A.
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B.
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D.
18 cm by 4.5 cm
E.
80 cm by 20 cm

Answers

Answer:

A,D and E

Step-by-step explanation:

Please take a look at the picture.

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The answer is 6

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From a random sample of 92 male students at Hope College, 8 were left-handed. Using the Theory Based Inference applet, determine a 99% confidence interval for the proportion of all male students at Hope College that are left -handed.​

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Answer:

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Solve the given equation: 49 = 7^(x+1) *

Answers

Answer:

x = 1

Step-by-step explanation:

49=7^x+1

Let's take the log of both sides

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subtract 1 from both sides

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What is the graph of y <= 5x + 2?

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Here is the graph! Hopes this helped

The serving size for the granola that Ted likes to eat for breakfast is 3/4 cup. How many cups will he have eaten if he ate 3 servings? Show your work

Answers

Answer:

2 1/4

Step-by-step explanation:

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Answers

Step-by-step explanation:

the key is x = 0.

also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.

let's test it.

a linear function is a line :

y = ax + b

remember, x = 0 is a key element.

y = a×0 + b

-3 = a×0 + b

-3 = b

so, we know, the line function is

y = ax - 3

now, for the a. let's use the next xy pair (1, 1).

1 = a×1 - 3

4 = a

aha ! our line function is therefore

y = 4x - 3

verify with the next 2 points (2, 5) and (3, 9)

5 = 4×2 - 3 = 5 correct

9 = 4×3 - 3 = 9 correct

linear type and equation confirmed.

the second table :

yes, we see relatively big y values compared to the x values.

and the y values follow the powers of 2

so it seems to to be exponential.

64 = 2⁶

32 = 2⁵

16 = 2⁴

8 = 2³

so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.

the old trick : c-x.

again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.

64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶

=> c = 6

so, we suspect the exponential function

y = 2^(6-x)

let's verify with the other points

(1, 32)

32 = 2^(6-1) = 2^(5) = 32 correct

(2, 16)

16 = 2^(6-2) = 2^(4) = 16 correct

(3, 8)

8 = 2^(6-3) = 2^(3) = 8 correct

so, yes, it is the exponential function

y = 2^(6-x)

an item on sale costs 60% of the original price. If the original price. If the original price was $40, what is the sale price?

Answers

Answer:  $24

Step-by-step explanation:

40 * .60 = $24

If x=0.8 and y=0.25, find y when x=0.125

Answers

Answer:

0.0390625

Step-by-step explanation:

by the equation then x=y*(16/5)

then when x=0.125 , y = 0.0390625

In ΔFGH, g = 39 cm, h = 54 cm and ∠F=34°. Find the area of ΔFGH, to the nearest square centimeter.

Answers

Answer:

≈ 589 cm²

Step-by-step explanation:

area = 1/2 * 39 * 54 * sin34°

        = 1/2 * 39 * 54 * 0.559194

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I tried, but if its the wrong answer I am SUPER sorry. Seems a little difficult, but i do try to help

In the arithmetic sequence, what number goes in the blank?
6, 11, 16,___, 25, ...
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I think the answer is 20. Mark Brainliest if it’s right!

Step-by-step explanation:

6, 11, 16,__21__, 25, ...

Hope it helps ya

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Answer:

PHOTO MATH KANALANG

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BAKA MERON ANS DON

What is the image of (4,-8) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer:

(1, -2)

Step-by-step explanation:

multiply each coordinate by 1/4. since the numerator is 1, you really just need to divide each number by 4.

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Answer:

b

Step-by-step explanation:

I'm not sure how to explain this if it is correct plz mark as brainiest

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