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ANEK [815]
2 years ago
6

Jshdvdndugdbdndjxbdnmd​

Mathematics
1 answer:
xenn [34]2 years ago
8 0

Answer:

YES true answer

Step-by-step explanation:

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Find equations of the tangent plane and the normal line to the given surface at the specified point. x + y + z = 8exyz, (0, 0, 8
Dima020 [189]

Let f(x,y,z)=x+y+z-8e^{xyz}. The tangent plane to the surface at (0, 0, 8) is

\nabla f(0,0,8)\cdot(x,y,z-8)=0

The gradient is

\nabla f(x,y,z)=\left(1-8yze^{xyz},1-8xze^{xyz},1-8xye^{xyz}\right)

so the tangent plane's equation is

(1,1,1)\cdot(x,y,z-8)=0\implies x+y+(z-8)=0\implies x+y+z=8

The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by t, then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation

(1,1,1)t+(0,0,8)=(t,t,t+8)

or x(t)=t, y(t)=t, and z(t)=t+8.

(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)

4 0
3 years ago
Interpret the following table about school dropout at the basic level (5 marks)
barxatty [35]

Answer:

Step-by-step explanation:

Given the following :

- - - Jhs

Basic level - - - - Boys - - - - Girls - - - - Total

Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%

Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%

With the information above,

Primary Dropout percentage:

BOYS : [49 / (49 +51)] × 100.= 49%

GIRLS : [51 / (49 +51)] × 100.= 51%

Jhs: Dropout percentage

BOYS : [56 / ( 56 + 44) × 100 = 56%

GIRLS : [44 / (44 +56)] × 100.= 44%

8 0
3 years ago
What form is the equation below written in?
Kazeer [188]

Answer:

Slope intercept

6 0
3 years ago
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Derivation of f(x) = x^4 - 8x^2 + 3​
weeeeeb [17]
The answer is F(0)=-3
7 0
3 years ago
What is the value of y?<br> 72°<br> A. 1080<br> B. 540<br> C. 36°<br> D. 720
nadya68 [22]

Answer:

B. 54

Explanation:

Take 72 from 180.

180 - 72 = 108.

Since there are two y's AND they're congruent, divide 108 by two and get 54.

3 0
2 years ago
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