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tatuchka [14]
3 years ago
13

How to use implicit differentiation to find an equation of the tangent line?

Mathematics
1 answer:
Arada [10]3 years ago
5 0
The slope of the line is the dy/dx value every time it appears in the differential equation. By substituting values for x and y in the DE, the slope can be found for the tangent at a point. This is the value of m in y=mx+a. To find a, plug in the tangent point.
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A pump fills a pool at the rate of 20 cubic meters in an hour. If each cubic meter of water costs $10, how many minutes will the
fomenos

The first thing any good mathematician does is convert the measurements to the same unit as what the question is asking. In this problem, it states that the pool fills at a rate of 20 cubic meters per hour. Just keep in mind that an hour is 60 minutes.

The next step is to see how many cubic meters will cost $300. This can be done by dividing 300 by 10. This gets you 30 cubic meters of water.

You already know that 60 minutes is 20 cubic meters of water. That leaves the remaining 10 cubic meters of water. By dividing the rate given, you get that 30 minutes is 10 cubic meters of water. Add the 60 and 30 together to get 90 minutes.

It will take 90 minutes for the pump to use $300.

7 0
3 years ago
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
inn [45]
Good news: they are all like terms
9x + 5x -3x -8x = 3x
6 0
2 years ago
Read 2 more answers
0.5b+4=2(b+2)<br> I need help on this question?
mafiozo [28]

Answer: b=0

Step-by-step explanation:

0.5b+4=2(b+2)

0.5b+4=2b+4

4=1.5b+4

0=1.5b

b=0

8 0
3 years ago
Read 2 more answers
3.2] I can rearrange formulas to solve for a specified variable.<br><br> Solve for r.<br> h=r-m
Lesechka [4]

Answer:

r = h + m

Step-by-step explanation:

h = r - m

Switch sides.

r - m = h

Add m to both sides.

r - m + m = h + m

Simplify the left side. -m + m = 0

r = h + m

6 0
2 years ago
Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is compleme
mel-nik [20]

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

we know that

<u><em>Vertical angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

m\angle APC=m\angle BPC -----> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

7 0
3 years ago
Read 2 more answers
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