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3 years ago

13

I have 5 digits.My 9 is worth 10000. my 2 is worth 2 thousand one of my 7s is worth 70. the other is worth 10 times as much. my

other digits is a 6

1 answer:

liberstina [14]3 years ago

5 0

Answer:

92776

Step-by-step explanation:

FIrst multiply:

9*10000= 90000

2*1000=2000

70*10= 700

Then add:

90000+2000+700+70(already given)+6(already given)= 92776

Hope this helps! :)

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Answer:

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Step-by-step explanation:

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2 years ago

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

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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)

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