Answer: f(2) = 4
Step-by-step explanation:
F(x) and g(x) are said to be continuous functions
Lim x=2 [3f(x) + f(x)g(x)] = 36
g(x) = 2
Limit x=2
[3f(2) + f(2)g(2)] = 36
[3f(2) + f(2) . 6] = 36
[3f(2) + 6f(2)] = 36
9f(2) = 36
Divide both sides by 9
f(2) = 36/9
f(2) = 4
Answer:
0.6 °C/min
Step-by-step explanation:
The relationship between rates and movement is ...
time = distance/speed
Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.
For the first half of the heating, the time required is ...
(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min
For the second half of the heating, the time required is ...
(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min
Then the total time is ...
((100/3) +125) min = (475/3) min
And the average rate of temperature increase is ...
total temperature change / total time
= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min
Answer: -9 1/3 or -9.3333333
Step-by-step explanation: You would just have to divide those two numbers and then add the negative to your answer.
342cm because the 4 sides equal 180cm and the top and base equal 162.
Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
