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Sonja [21]
2 years ago
12

Find an equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0

The tangent plane equation of tangent plane is

z = x - 6y -1

This is further explained below.

What is the equation of the tangent plane to the surface z=ln(x-6y) at the point(7,1,0)?

Generally, Given surface is z = ln(x − 6y) ,

Given point is (x_0, y_0 , z_0) = (7, 1, 0)

partially differentiating with respect to x

== >zx = [1/(x - 6y)] (1) = 1/(x - 6y)

zx (7 , 1 , 0) = 1/(7 - 6(1)) = 1

Partially differentiating with respect to y

zy = [1/(x - 6y)] (-6)

zy = -6/(x - 6y)

zy(7 , 1 , 0) = -6/(7 - 6(1)) = -6

Equation of tangent plane is z - z_0 = zx(x -x_0) + zy(y - y_0)

z - 0 = 1(x - 7) + (-6)(y - 1)

z = x - 7 -6y + 6

z = x - 6y -1

In conclusion, equation of tangent plane is z = x - 6y -1

Read more about the tangent plane

brainly.com/question/10542585

#SPJ4

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PLS HELP IM BEGGING U
expeople1 [14]

Answer:

answer is 57.

Step-by-step explanation:

Given

m<6= x - 8

m<7 = 2x - 7

We know

<6 + <7 = 180° [ being linear pair ]

x - 8 + 2x - 7 = 180°

3x - 15 = 180°

3x = 180° + 15°

3x = 195°

x = 195° / 3

x = 65°

Now

m<6= x - 8 = 65° - 8° = 57°

hope it helps :)

8 0
3 years ago
During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How
Nadusha1986 [10]

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

7 0
3 years ago
If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes
hram777 [196]
Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3
8 0
3 years ago
Running at a constant​ rate, austin run 18 miles in a time of 180 minutes. How many minutes does it take austin to run ​ 6 miles
tia_tia [17]

Answer:

60 minutes

Step-by-step explanation:

to find this, we will first determine how long it takes austin to run one mile.

18 miles / 180 minutes

1 mile / 10 minutes

it takes austin to run 10 minutes to run 1 mile

now, we will multiply the number of minutes it takes by 6 to find how long it takes austin to run 6 miles.

1 mile / 10 minutes

6 miles / 60 minutes

it takes austin 60 minutes to run 6 miles

8 0
2 years ago
Is -2(3x-7) equivalent to 19+12x-5-6x? YES or NO???
nadezda [96]

Answer:





6. 6x-21=33+9x 7. -15x=-5(3x+7) 8. 16x-19=113-6x 9. -19x-34=56-x 10. -6(4x+3)=6(4x-3)?

6. 6x-21 = 33 +9x

+21 + 21

6x = 54 + 9x

-9x -9x

-3x = 54

/3 /3

x = -18

7. -15x = -5(3x+7)

First multiply the -5 to the other numbers.

-15x = -15x - 35

0x = -35

7 is impossible I believe.

8. 16x-19 = 113-6x

+6 +6

22x - 19 = 113

+ 19 +19

22x = 132

/22 /22

x = 6

9. -19x - 34 = 56 - x

+19x +19x

-34 = 56 + 18x

-56 -56

-90 = 18x

/18 /18

x = -5

10. -6(4x+3) = 6[4x-3]

-24x - 18 = 24x - 18

+18 +18

-24x= 24x

x = 0, since only zero can make the equation true.

7 0
3 years ago
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