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GuDViN [60]
2 years ago
6

(8p - 8) (6p^2 + 3p+6)

Mathematics
1 answer:
artcher [175]2 years ago
5 0

Answer:

The answer is 48p^3 - 24p^2 + 24p - 48

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What is 1/10 of 6000
solong [7]

Answer: 600

Step-by-step explanation: Cancel the common factor of 10 to get 600.

3 0
3 years ago
Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1
hichkok12 [17]

Answer:

\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}

Step-by-step explanation:

Given that:

The surface area (S.A) z = x^2 +y^2

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA

where :

D = cylinder x^2 +y^2 =1

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, \dfrac{\partial z}{\partial x} = 2x and \dfrac{\partial z}{\partial y} = 2y

Therefore;

S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA

= \iint_D \sqrt{1+4(x^2+y^2)} \ dA

= \int^{2 \pi}_{0} \int^{1}_{0}  \sqrt{1+4r^2} \ r \ dr \d \theta

= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0

= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]

\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}

6 0
3 years ago
Pls help!!!!!!!!!!!1
Sloan [31]

Answer:lol it's -3

Step-by-step explanation: it's 3 because you had dirt 45.50 in your account and then you have to get books and those books will cost $3 more which means that you don't have that money since it indicates that in the problem which means that it would be -3 because you don't have the money so that's why I think it's negative 3.  

6 0
3 years ago
6x-5y=17 solve the system
pantera1 [17]
6x-5y=17
-6x -6x
__________
-5y= -6x+17
______________
-5


y=
\frac{6}{5 } x +   \frac{17}{ - 5}
4 0
3 years ago
Simplify this expression
qaws [65]

Answer:

10

Step-by-step explanation:

25-10+3-8

15+3-8

18-8

10

6 0
2 years ago
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