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Bad White [126]
4 years ago
7

Help with the bottom? thanks ♡

Mathematics
1 answer:
Serggg [28]4 years ago
6 0
2. x³ + 8x + 13
3. 8x + 5
4. 3x² + 2x +4
5. 2x³ + 5x
6. 2x³ - 2x - 6
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How to do question 1?Had no idea how to do both parts
givi [52]
y=\dfrac{\ln x}{3x-6}

Differentiate both sides with respect to x:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}

When x=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13

For part (b), we now assume that x and y are functions of an independent variable, which we'll call t (for time). Now differentiating both sides with respect to t, we have

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}

where the chain rule is used on the right side. We're told that y is decreasing at a constant rate of 0.1 units/second, which translates to \dfrac{\mathrm dy}{\mathrm dt}=-0.1. So when x=1, you have

-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}
-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}
\dfrac{\mathrm dx}{\mathrm dt}=0.3

where the unit is again units/second.
6 0
3 years ago
Write an expression for “seven less than three halves of z”<br>​
ser-zykov [4K]

Answer:

7- 3/2Z

thank for points and pick me brainliest pls!

6 0
3 years ago
Jose can assemble 12 car parts in 40 minutes. How many minutes
Tpy6a [65]

Answer:

12/40=0.3

0.3 car parts per minute

9 / 0.3 = 30 minutes

30 minutes for 9 parts

Hope this helps

Step-by-step explanation:

8 0
3 years ago
Solve: 4x + 3 =2x +9
Llana [10]
Solve: 4x + 3 =2x +9
4x + 3 = 2x + 9
-2x         -2x

2x + 3 = 9
      -3     -3

2x = 6
2x/2 = 6/2
x = 3

Answer would be : x = 3
8 0
3 years ago
Read 2 more answers
Yes im playing prodigy LOL
Ilya [14]

Answer:

0,05

Step-by-step explanation:

1)First, Let’s find the mean of the data table

12 + 10 + 12 + 6 + 8 + 4 + 2 + 12 = 66

66 ÷ 8 = 8,25

2)12 - 8,25 = 3,75

10 - 8,25 = 1,25

12 - 8,25 = 3,75

6 - 8,25 = -1,75

8 - 8,25 = -0,75

4 - 8,25 = -3,75

2 - 8,25 = -5,75

12 - 8,25 = 3,75

3) 3,75 + 1,25 + 3,75 - 1,75 - 0,85 - 3,75 - 5,75 + 3,75 = 0,4

0,4 ÷ 8 = 0,05

8 0
3 years ago
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