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3 years ago

Hello! please help ASAP ‼️

Mathematics

1 answer:

nignag [31]3 years ago

5 0

Answer:

Yes, it is a solution

Step-by-step explanation:

(x,y) (1,-3)

a. Plug in x:

y= 1-4

y = -3 yes this is correct as -3 is on y.

b. Plug in X.

y=9(1)-12

y=9-12

y=-3 yes this is also correct as this also is -3 for y.

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Use the Chain Rule to find the indicated partial derivatives. u = x2 + yz, x = pr cos(θ), y = pr sin(θ), z = p + r; (partial u)/

devlian [24]

$u(x,y,z)=x^2+yz$

$\begin{cases}x(p,r,\theta)=pr\cos\theta\\y(p,r,\theta)=pr\sin\theta\\z(p,r,\theta)=p+r\end{cases}$

At the point $(p,r,\theta)=(2,2,0)$ , we have

$\begin{cases}x(2,2,0)=4\\y(2,2,0)=0\\z(2,2,0)=4\end{cases}$

Denote by $f_x:=\dfrac{\partial f}{\partial x}$ the partial derivative of a function $f$ with respect to the variable $x$ . We have

$\begin{cases}u_x=2x\\u_y=z\\u_z=y\end{cases}$

The Jacobian is

$\begin{bmatrix}x_p&x_r&x_\theta\\y_p&y_r&y_\theta\\z_p&z_r&z_\theta\end{bmatrix}=\begin{bmatrix}r\cos\theta&p\cos\theta&-pr\sin\theta\\r\sin\theta&p\sin\theta&pr\cos\theta\\1&1&0\end{bmatrix}$

By the chain rule,

$u_p=u_xx_p+u_yy_p+u_zz_p=2xr\cos\theta+zr\sin\theta+y$

$u_p(2,2,0)=2\cdot4\cdot2\cos0+4\cdot2\sin0+0\implies\boxed{u_p(2,2,0)=16}$

$u_r=u_xx_r+u_yy_r+u_zz_r=2xp\cos\theta+zp\sin\theta+y$

$u_r(2,2,0)=2\cdot4\cdot2\cos0+4\cdot2\sin0+0\implies\boxed{u_r(2,2,0)=16}$

$u_\theta=u_xx_\theta+u_yy_\theta+u_zz_\theta=-2xpr\sin\theta+zpr\cos\theta$

$u_\theta(2,2,0)=-2\cdot4\cdot2\cdot2\sin0+4\cdot2\cdot2\cos0\implies\boxed{u_\theta(2,2,0)=16}$

7 0

3 years ago

Dora was born in 1991. Her son Tanner was born 25 years after Dora. Which equation could be used to find the year y in which Tan

Vladimir79 [104]

Tanner was born in 2016

4 0

3 years ago

Use the distributive property to find an expression equivalent to 24 + 64.

LUCKY_DIMON [66]

Answer:

8(3+8)

Step-by-step explanation:

The distributive property of multiplication states that

A(B+C) = A* B + A* C

Here, we can say that

8(3+8) = 8*3 + 8* 8 = 24 + 64. This seems correc,t but we can check the other options to make sure

6(4 + 8) = 6 * 4 + 6*8 = 24 + 48. This is incorrect

24 + (8)(8) . The 24 and 8 are not in the same parenthesis, so we cannot multiply them. Using PEMDAS, we multiply first, so 24+(8)(8) = 24 + 8*8 = 24 + 64. If there are multiple solutions, this can work. If not, this does not use the distributive property as we are not adding anything in the parenthesis.

Similarly, for (2)(12) + (8)(8), we are not adding anything in the parenthesis, but we can use PEMDAS to get 2*12 + 8*8 = 24 + 64, so this would also work but does not use the distributive property.

4 0

3 years ago

Please help i will mark branliest

baherus [9]

Answer:

9/6

Step-by-step explanation:

please mark as brainliest

7 0

4 years ago

Change the decimal into a fraction easy help please :)

ikadub [295]

1/5
1/500
1/50
73/100
7/10
773/1000

6 0

3 years ago

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