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3 years ago

What is negative 5 5/6–2 3/5

Mathematics

1 answer:

dangina [55]3 years ago

4 0

Answer:

the answer is -8 13/30

Step-by-step explanation:

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Use the general slicing method to find the volume of the following solids. The solid whose base is the region bounded by the cur

Y_Kistochka [10]

Answer:

The volume is $V=\frac{64}{15}$

Step-by-step explanation:

The General Slicing Method is given by

<em>Suppose a solid object extends from x = a to x = b and the cross section of the solid perpendicular to the x-axis has an area given by a function A that is integrable on [a, b]. The volume of the solid is</em>

$V=\int\limits^b_a {A(x)} \, dx$

Because a typical cross section perpendicular to the x-axis is a square disk (according with the graph below), the area of a cross section is

The key observation is that the width is the distance between the upper bounding curve $y = 2 - x^2$ and the lower bounding curve $y = x^2$

The width of each square is given by

$w=(2-x^2)-x^2=2-2x^2$

This means that the area of the square cross section at the point x is

$A(x)=(2-2x^2)^2$

The intersection points of the two bounding curves satisfy $2 - x^2=x^2$ , which has solutions x = ±1.

$2-x^2=x^2\\-2x^2=-2\\\frac{-2x^2}{-2}=\frac{-2}{-2}\\x^2=1\\\\x=\sqrt{1},\:x=-\sqrt{1}$

Therefore, the cross sections lie between x = -1 and x = 1. Integrating the cross-sectional areas, the volume of the solid is

$V=\int\limits^{1}_{-1} {(2-2x^2)^2} \, dx\\\\V=\int _{-1}^14-8x^2+4x^4dx\\\\V=\int _{-1}^14dx-\int _{-1}^18x^2dx+\int _{-1}^14x^4dx\\\\V=\left[4x\right]^1_{-1}-8\left[\frac{x^3}{3}\right]^1_{-1}+4\left[\frac{x^5}{5}\right]^1_{-1}\\\\V=8-\frac{16}{3}+\frac{8}{5}\\\\V=\frac{64}{15}$

5 0

3 years ago

I need Answer pls plz pls pls

Fofino [41]

Answer:

±square root 20

Step-by-step explanation:

x²= 20

x= square root 20

x= 2 square root 5

x≈ 4.4721

3 0

3 years ago

Please answer this Square and Square Root question (at least one)

weqwewe [10]

H. 100=10squared and 64=8squared 25=5squared

3 0

3 years ago

How does $100 gift card affect the measure of center of the data?

Nataly [62]

Answer:

It increases the mean value of the prizes

Step-by-step explanation:

If you order the numbers from the lowest to the highest, the median is the number placed in the middle of the ordered list. In this case, there are values repeated many times (there are 100 values, $1 is repeated 44 times and $5 is repeated 25 times, so $5 is the mean), then the presence of a high value with only one presence doesn't modify this median.

On the other hand, the mean is always affected but all data set, given that $100 is the highest value, the mean will increase.

3 0

3 years ago

Which mathematical concept did you use to find the number of gumballs that fit INSIDE the package?

Vlada [557]

The answer is Volume

5 0

2 years ago