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goblinko [34]
3 years ago
7

PLEASE HELP AND QUICK

Mathematics
1 answer:
3241004551 [841]3 years ago
8 0
I think it is 70 but not sure
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Find the values of c such that the area of the region bounded by the parabola
KATRIN_1 [288]

<u>Solution-</u>

The two parabolas are,

y=16x^2-c^2 \ and \ y=c^2-16x^2

By solving the above two equations we calculate where the two parabolas meet,

So \ 16x^2-c^2 = c^2-16x^2 \Rightarrow 32x^2=2c^2 \Rightarrow x=\frac{1}{4}c

Given the symmetry, the area bounded by the two parabolas is twice the area bounded by either parabola with the x-axis.

\therefore Area=2\int_{-c}^{c}y.dx= 2\int_{-c}^{c}(16x^2-c^2).dx\\=2[\frac{16}{3}x^3-c^2x]_{-c}^{ \ c}=2[(\frac{16}{3}c^3-c^3)-(-\frac{16}{3}c^3+c^3)]=2[\frac{32}{3}c^3-2c^3]=2(\frac{26c^3}{3})\\=\frac{52c^3}{3}

So \frac{52c^3}{3}=\frac{250}{3}\Rightarrow c=\sqrt[3]{\frac{250}{52}}=1.68

5 0
4 years ago
Qualitative data is _______.
dybincka [34]
Its data that is Qualitative Instead of Quantative
4 0
3 years ago
Read 2 more answers
Question 4 (1 point)
lora16 [44]

Answer:

x=15

Step-by-step explanation:

3(2x+5)=3x+4x

6x+15=3x+4x. *multiplied parentheses by 3*

15=3x+4x+-6. *moves all x to one side*

15=× * added

x=15

6 0
4 years ago
1/2 pound cheese divided by 3
neonofarm [45]

You flip the 3/4. So it's 4/3. Then you multiply. Thats basicly how all division works. Flipping the last fraction and multiplying.

5 0
4 years ago
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Solving Radical Equations <br><br> Square root x+7 = x - 5
Westkost [7]
So the square root of the quatity(x+7)=x-5

so you square both sides and get rid of the square root
x+7=(x-5)^2
(x-5)^2=x^2-10x+25
x+7=x^2-10x+25
subtract 7 from both sides
x=x^2-10x+18
subtract x from both sides
0=x^2-11x+18

so if xy=0 we can assume that x or/and y =0

factor out x^2-11+18
(find what two numbers multiply to get 18 and add to get -11)
-2 times -9=18
-2+(-9)=-11

(x-2)(x-9)=0
set them to zero
x-2=0
x=2

x-9=0
x=9

there are two answers -2 and -9
3 0
4 years ago
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