Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
Answer:
It does not converge
Step-by-step explanation:
Answer:
-33
Step-by-step explanation:
2(-2)^3 -7(-2)^2 -5(-2) +1
-16 -28 +11
= -33
The fraction is written as 3/4.
If you divide 3 by 4 you will get the decimal.
Given:
The statement is "-3 raised to the power 0".
To find:
The value of the given expression.
Solution:
We know that 
raised to the power 
can be written as 
.
Any non zero number raised to the power 0 is always 1. It means,
, where 
.
-3 raised to the power 0 
Therefore, the value of the given statement is 1.
