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3 years ago

Find the graph of the inequality y<= -1/3+1

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Here. This is the graph you wanted. The underside is shaded by the way.

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Simplify the following expression. 2x-5(2x-7y+3)+(-8)

neonofarm [45]

Equation at the end of step 1 : (2x - 5 • (2x - 7y + 3)) + -8 :Pulling out like terms :3.1 Pull out like factors :

-8x + 35y - 23 = -1 • (8x - 35y + 23)

Final result : -8x + 35y - 23

4 0

4 years ago

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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

Glve the position of E on this number line. -- 1 Write a fraction for your answer. 昌口号 Х ?

Rufina [12.5K]

Answer:

follow xxflirtykingxx

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3 years ago

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3. Round 6.724 to the nearest hundredth

Wewaii [24]

6.72 would be the answer

6 0

3 years ago

*18 POINTS* Urgent!! Please answer

Ksivusya [100]

Total surface area = 2 * circular base + circumference * height
= 2 * pi*(4)^2 + 8pi * 12
= 32pi + 96pi
= 128pi answer

4 0

3 years ago

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