The opposite operation to taking a derivative is an integral. Integrate to find original function.
f(x) = x^2 + x + C
C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)
0 = 1 + 1 + C
- 2 = C
function at input value (1,0)
f(x) = x^2 + x - 2
now if you check by taking derivative is :
f' = 2x + 1
Given:
m = -8 degrees/hour, the rate of change of temperature
Let x = hours
Let y = temperature, °F
Then y = -8x + b
where b = constant
When x = 0, then y = b.
Therefore b = initial temperature
If the temperature drops by at least 36 °F in the next x hours, then
b - y(6) ≥ 36
b - (-8x + b) ≥ 36
8x ≥ 36
x ≥ 4.5 hours
Answer: At least 4.5 hours
Step-by-step explanation:
Cot of 3pi 4
The exact value of cot(π4) cot ( π 4 ) is 1 . Multiply −1 by 1 .
Remember, all angles in a triangle always add up to 180 degrees.
We are given two out of three angles. We are given the measure of one angle (50 degrees) and the measure of another angle (Right angles always equal 90 degrees)
So, we have an equation:
x+90+50=180
x=180-90-50
x=90-50
x=40
