Helppppppppppppppppppppppppp meeeeeee

What is the surface area using integrals of these two lines. Y=10-x^2 and Y=x^2+2 from the bounds x=2 and x=-2.

Lelu [443]

Check the picture below.

$\bf \displaystyle\int\limits_{-2}^{2}~[\stackrel{\textit{above function}}{(10-x^2)}~~-~~\stackrel{\textit{below function}}{(x^2+2)}]dx\implies \int\limits_{-2}^{2}~(10-x^2-x^2-2)dx \\\\\\ \displaystyle\int\limits_{-2}^{2}~(8-2x^2)dx\implies \left. 8x\cfrac{}{} \right]_{-2}^{2}-\left. \cfrac{2x^3}{3} \right]_{-2}^{2} \\\\\\ ([16]-[-16])~~-~~\left( \left[ \cfrac{16}{3} \right]-\left[ -\cfrac{16}{3} \right]\right)\implies (32)~~-~~\left( \cfrac{32}{3} \right) \\\\\\ \cfrac{64}{3}\implies 21\frac{1}{3}$

5 0

3 years ago

Help me plz it's the first time using it

rjkz [21]

This whole problem rests on one thing:
Do you know the formula for the volume of this kind of shape ?
If you do, then the problem is easy. If you don't, then it's impossible.

This is the shape of a book, an ice cube, a brick, or a slab.

The volume is always

(length) x (width) x (height) (in any order) .

They all have to be in the same unit, and then the volume
is in the cubic-(...) of that unit.

In this picture, there's a tiny hiccup with the units ... the length and
the width are in meters, but the height is in centimeters, so you need
to change that one to meters before you can multiply them.

Notice right above the picture, it reminds you that

   (1 meter = 100 centimeters) .

So the height of the slab (10 cm) is the same as 0.1 meter.

Now you have all 3 of the dimensions in meters, so you're
ready to multiply them and get the volume.

   Volume = (length) x (width) x (height)

   = ( 8 m ) x ( 6 m ) x ( 0.1 m )

   =    4.8 cubic meters .

Question:
Does Meg have enough concrete to make the slab
with the dimensions shown ?

Answer: Yes .

Explanation:
Meg mixed 5 cubic meters of concrete.
She needs 4.8 cubic meters to pour the floor with those dimensions.
She has enough concrete to do the job.
All she needs is the whole football team to come over and help her
   pour, smooth, and finish it. Concrete is hard hard work !

4 0

3 years ago

The data set represents a month-to-month progression of gasoline prices over the course of several months in an unspecified city

Tresset [83]

The quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

<h3>What is the general form of a quadratic equation?</h3>

The general form of the quadratic equation is given by;

$\rm ax^2+bx+c=0$

Where; a, b, and c are the constants.

x; 0 1 2 3 4 5

y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24

From the table when the value of x = 0 the value of y is 2.82.

Then,

$\rm y=ax^2+bx+c\\\\x=0\\\\2.82=a0^2+b(0)+c\\\\c=2.82$

From the table when the value of x = 3 the value of y is 3.33.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.82=a(3)^2+b(3)+c\\\\9a+3b+2.82=2.82\\\\9a=-3b\\\\b=-3a\\\\$

From the table when the value of x = 5 the value of y is 2.24.

$\rm y=ax^2+bx+c\\\\x=3\\\\2.24=a(5)^2+(-3a)(5)+c\\\\25a-15a+2.82=2.24\\\\40a=2.24-2.82\\\\10a=-0.68\\\\a= \dfrac{-0.68}{10}\\\\a=-0.143$

And the value of b is;

$\rm b=3a\\\\b=3(-0.14)\\\\b=0.59$

Therefore,

The quadratic regression equation for this data set is;

$\rm y=ax^2+bx+c\\\\y=-0.143x^2+0.59x+2.82\\\\$

Hence, the quadratic regression equation for this data set is $\rm y=-0.143x^2+0.59x+2.82\\$ .

To know more about the Quadratic equation click the link given below.

brainly.com/question/14935613

8 0

2 years ago

Racheal has scored 81,70,95,73,and 72 on her previous five tests. What score does she need on her next test so her average mean

kiruha [24]

She needs to score another 95 on her next test!

3 0

2 years ago

Greg needs at least $1.60 in stamps to mail a package. He has 28cent stamps and 4cent stamps. He can use no more than twenty 4ce

lapo4ka [179]

19 4-cent stamps and 3 28-cent stamps should be used.

Given that Greg needs at least $ 1.60 in stamps to mail a package, and he has 28cent stamps and 4cent stamps, and he can use no more than twenty 4cent stamps as he only has one book left, to determine how many stamps to use should be made the following calculation, through a linear function:

(0.04 x 20) + 0.28X = 1.60
0.80 + 0.28X = 1.60
0.28X = 1.60 - 0.80
0.28X = 0.80
X = 0.8 / 0.28
X = 2.85

(3 x 0.28) + 0.04X = 1.60
0.84 + 0.04X = 1.60
0.04X = 1.60 - 0.84
0.04X = 0.76
X = 0.76 / 0.04
X = 19

Therefore, 19 4-cent stamps and 3 28-cent stamps should be used.

Learn more in brainly.com/question/15325318

7 0

3 years ago