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3 years ago

Each exterior angle of a triangle has three remote interior angles. Answer: False

Mathematics

1 answer:

Arturiano [62]3 years ago

4 0

False hiiiiiii guysssssss

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I need help i dont get this

JulijaS [17]

I don’t see any photos

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3 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function f, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to x :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to y :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to y :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with f , then differentiate both sides with respect to z :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to z :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

7 0

3 years ago

Need help finding slope, x-intercept, and y-intercept

butalik [34]

Step-by-step explanation:

count the slope, 5 up in 2.5 horizontal steps, slope = 5/2.5 or 2

x intercept is on the graph, 2.5

y intercept is also on the graph, -5

8 0

3 years ago

Read 2 more answers

Frank and his mom are planting vegetables in their garden. Frank has finished planting 8 rows of carrots so far and is planting

Yuliya22 [10]

Answer:

It will take 3 hours. They will both have completed 11 rows.

Step-by-step explanation:

1 row of carrots per hour = frank

3 rows of tomatoes per hour = frank's mom

right now, this is how many they have completed

frank - 8 rows

mom - 2 rows

1st hour

f - 9

m - 5

2nd hour

f - 10

m - 8

3rd hour

f - 11

m - 11

8 0

2 years ago

Lee wanted to equally share his pizza with his 3 sisters. What fraction of the pizza does he and each sister receive?

xxMikexx [17]

Answer:

He and each of his sisters will recieve 1/4 of the pizza

Step-by-step explanation:

5 0

3 years ago