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tatuchka [14]
4 years ago
13

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

Mathematics
1 answer:
Arada [10]4 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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Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.)f(x) =
lyudmila [28]

Answer:

The absolute minimum value is "-\frac{21}{4}" and the absolute maximum value is "15".

Step-by-step explanation:

Given:

f(x)=x^2-x-5

on,

[0,5]

By differentiating it, we get

⇒ f'(x)=2x-1

Set f'(x)=0

then,

⇒ 2x-1=0

          2x=1

            x=\frac{1}{2} (Critical point)

When x=0,

⇒ f(x)=-5

When x=\frac{1}{2},

⇒ f(x)=-\frac{21}{4} (Absolute minimum)

When x=5

⇒ f(x)=15 (Absolute maximum)

7 0
3 years ago
Jake thinks that a rhombus is not always a parallelogram.Is jake correct?
OverLord2011 [107]

Answer:

No, a rhombus is a quadrilateral, with four equal-length sides and opposite sides parallel to each other. All rhombuses are parallelograms, but not all parallelograms are rhombuses. The opposite interior angles of rhombuses are always congruent. A parallelogram is just a four sided closed shape where opposite sides are parallel.

I hope this helps!

8 0
3 years ago
31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece and the third piece
pychu [463]

"31-inch piece of steel is cut into three pieces"

Call the pieces a,b,c

a + b + c = 31

"second piece is twice as long as the first piece"

b = 2a

"third piece is one inch more than seven times the length of the first piece"

c = 1 + 7a

Ok, we have our equations, let's substitute the second and third into the first.

a + 2a + 1 + 7a = 31

10a + 1 = 31

10a = 30

a = 30/10 = 3

b = 2a = 6

c = 1 + 7a = 22

Check: 3 + 6 + 22 = 31, good

Answer: 3 inches, 6 inches, 22 inches


4 0
3 years ago
The test scores for a group of students are shown.
GarryVolchara [31]
The median is 84.5. Feel free to ask me any other questions.
8 0
4 years ago
Read 2 more answers
What’s the answer to this problem?
Alja [10]

Answer:

Figure:         Amount of tiles:

1                    5

2                   8

3                   11

4                   14

5                   17

6                   20

7                   23

8                   26

9                   29

10                 32

11                  35

12                 38

13                 41

The sequence/pattern is +3 tiles.

So Figure 13 will have 41 tiles.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>
3 0
3 years ago
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