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2 years ago

The expression [(-7) ³ - (-7³)] - [(-7) ² + 7²] results in

2 answers:

5 0

$BASIC \: \: ALGEBRA \\ \\ \\ Given \: \: expression \: - \\ ( {( - 7)}^{3} - ( { - 7)}^{3} ) - ( {( - 7)}^{2} + {(7)}^{2} ) \\ \\ = \: \: 0 \: - \: ( {( - 7)}^{2} + {(7)}^{2} ) \\ \\ = \: \: 0 \: - (49 + 49) \\ \\ = \: \: 0 - 98 \\ \\ \\ = \: \: - 98 \: \: \: \: \: \: \: \: \: \: Ans.$

Reil [10]2 years ago

4 0

[(-7)(-7)(-7) + (-7)(-7)(-7)] - [(-7)(-7) + (7)(7)]
(-343 + -343) - (49 + 49)
-686 - 98 = -784
The answer is a) -784 :)

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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 <em>f</em>, 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 <em>x</em> :

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

Differentiate both sides with respect to <em>y</em> :

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

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

Integrate both sides with respect to <em>y</em> :

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

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

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

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

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

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

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

7 0

2 years ago

A customer's stock value seems to be rising exponentially. The equation for

Rasek [7]

<h2>Hello!</h2>

The answer is:

The correct option is A. 8.3.

To calculate the number of weeks that will pass, we need to use the given information.From the statement we know that we need to use the value of $600 substituting it as "y", and then, isolate "x", so, calculating we have:

$log(y)=0.30x+0.296\\\\log(600)=0.30x+0.296\\\\2.78=0.30x+0.296\\\\2.78-0.296=0.30x\\\\x=\frac{2.78-0.296}{0.30}=8.28=8.3$

Hence, the correct option is A. 8.3.

Have a nice day!

4 0

2 years ago

You count customers going into the 5 pizza shops in your city. You get 56, 98, 43, 112, and 106. What is the median number of cu

denpristay [2]

Answer:The answer is 98

Step-by-step explanation:

Median is the middle number, so put the numbers from least to greatest and pick the number in the middle. In this case: 43,56,98,106,112. 98 is in the middle.

6 0

2 years ago

A student walks 1/4 Mile from her home to the store on her way to a friend's house at the store is one third of the wave to her

Setler [38]

Her friend's house is 1/12 miles away from her house.

Since 1/4 miles is 1/3 of the way, 1/4 x 1/3 = 1/12.

4 0

2 years ago

Read 2 more answers

sandy is observing the velocity of a runner at different times. After one hour, the velocity of the runner is 4 km/h. After two

Butoxors [25]

A) Let x stand for time, y stand for velocity.
We are given the points (2,50), (6, 54). We can make a line using the slope intercept form
y = mx + b.
slope is (54 - 50)/(6-2) = 4/4 = 1
y = 1x + b
plug in point (2,50) to find b
50 = 1(2) + b
50-2 = b
48 = b
the equation is y = 1x + 48
Make standard form.
<span>x - y = -48</span>

7 0

2 years ago