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Vilka [71]
3 years ago
5

PLEASE HELP ASAP NO TROLLING PLEASE. HELP FIND MISSING TERM

Mathematics
2 answers:
snow_tiger [21]3 years ago
4 0

Answer:

-3x is the answer

Step-by-step explanation:

cricket20 [7]3 years ago
3 0

Answer:

-3x

Hopefully this helps lol

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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
A car start from rest and accelerates at the rate of 2m/s² for 5 seconds. it maintenance this velocity for another 5 seconds. it
Vladimir79 [104]

Answer:

2m/s² ; - 2m/s²

25m ; 50m ; 25m

6.67 m/s²

Step-by-step explanation:

The acceleration and deceleration :

Both rates are the Same from the graph ;

According to scenario described, acceleration = 2m/s²

Deceleration occurred in equal time interval = - 2m/s

Distance covered during each stage:

Stage 1 : area of triangle

0.5 * base * height

0.5 * 5 * 10 =25 m

Stage 2: area of rectangle :

Length * breadth = 5 * 10 = 50 m

Stage 3 : area of triangle

0.5 * base * height

0.5 * 5 * 10 =25 m

Average Velocity :

Total distance / time = (25 + 50 + 25) / 15 = 100/ 15 = 6. 67 m/s

5 0
3 years ago
Please answer fast!!!
blsea [12.9K]
The Answer is the last one. it equals -1
7 0
3 years ago
A washing machine is filling up with water at a constant rate. The rate is Three-fourths of a gallon in StartFraction 1 over 5 E
Dmitriy789 [7]

Answer:

He multiplied 3/4 by 1/5 instead of dividing 3/4 by 1/5.

Step-by-step explanation:

Correct is 3/4 / 1/5

= 3/4 * 5

= 15/4 gallons per minute.

9 0
3 years ago
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Evaluate.<br><br> 90 • 4 – 14 ÷ 2 + 102 ÷ 5 • 2<br> Please give me the right anwser ^_^
yan [13]
I believe the answer is 160.Keep in mind the order of operations.P,E,M+D,A+S. Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction
7 0
3 years ago
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