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Nataly_w [17]
3 years ago
6

WILL GIVE BRAINLEST ! hAVE A GOOD DAy :)!

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

Answer:

10) 3^{2} * 3 * 2 *17

12) 8

Please give me brainliest ToT

Nata [24]3 years ago
5 0

Answer:

10. 408 is the answer

12. The "simplest radical form" of √64 is √26 if we define "simplest form" as a radical of a prime to an integer power.

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If xy + y² = 6, then the value of dy/dx at x= -1 is<br>​
mylen [45]

Hi there!

\large\boxed{\text{At (-1, -2), }\frac{dy}{dx} = -\frac{2}{5}}}

\large\boxed{\text{At (-1, 3), }\frac{dy}{dx} = -\frac{3}{5}}}

We can calculate dy/dx using implicit differentiation:

xy + y² = 6

Differentiate both sides. Remember to use the Product Rule for the "xy" term:

(1)y + x(dy/dx)  + 2y(dy/dx) = 0

Move y to the opposite side:

x(dy/dx) + 2y(dy/dx) = -y

Factor out dy/dx:

dy/dx(x + 2y) = -y

Divide both sides by x + 2y:

dy/dx = -y/x + 2y

We need both x and y to find dy/dx, so plug in the given value of x into the original equation:

-1(y) + y² = 6

-y + y² = 6

y² - y - 6 = 0

(y - 3)(y + 2) = 0

Thus, y = -2 and 3.

We can calculate dy/dx at each point:

At y = -2: dy/dx = -(-2) / -1+ 2(-2) = -2/5.

At y = 3: dy/dx = -(3) / -1 + 2(3) = -3/5.

5 0
3 years ago
1,432 ×54 multipy to find the product.Thanks
TiliK225 [7]
The answer is 1432 x 54 = 77,328
4 0
3 years ago
Read 2 more answers
Jake made a wooden cone with a diameter of 6 inches and a height of 4.5 inches. What is the volume of this cone?
serious [3.7K]

Answer:

42.42in³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a cone

Step one

We know that the volume of a cone is

V= 1/3πr²h

Given data

Diameter d= 6 inches

Radius r= diameter/2= 6/2= 3 inches

Height h = 4.5 inches

Step two

Substituting our given data we have

Volume = 1/3*3.142*3²*4.5

V= 1/3*3.142*9*4.5

V= 127.251/3

V= 42.42in³

7 0
3 years ago
What number is 2 * 10 ^100
Studentka2010 [4]

Answer:

2.00000000e+100

Step-by-step explanation:

2

2 \times {10}^{100}  = \\  2 \times 1.00000000e + 100=  \\  2.00000000e + 100

8 0
2 years ago
List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f
Amanda [17]

Answer:

\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

                              = 10

\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}

⇒ Number of equal intervals = 5

\textbf{Length of each interval = }\frac{10}{5}

\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8

3 0
3 years ago
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