Answer:
36 milliliters of rain.
Step-by-step explanation:
The rate at which rain accumluated in a bucket is given by the function:
Where r(t) is measured in milliliters per minute.
We want to find the total accumulation of rain from <em>t</em> = 0 to <em>t</em> = 3.
We can use the Net Change Theorem. So, we will integrate function <em>r</em> from <em>t</em> = 0 to <em>t</em> = 3:
Substitute:
Integrate:
Evaluate:
36 milliliters of rain accumulated in the bucket from time <em>t</em> = 0 to <em>t</em> = 3.
Answer:
your answer is not correct.
Answer:
The answer is the second option 4.8
Step-by-step explanation:
I just did the test.
f(x) =5-3x
g(x)=x²-1
f(g(x)) = f(x²-1)
replacing x by x²-1 in the function f(x) , we get
f(x²-1) = 5-3(x²-1) = 5-3x²+3 =8-3x²
f(g(x)) =8-3x²
now finding g(f(x))
g(5-3x)
replacing x by 5-3x in the function g(x)
g(5-3x) = (5-3x)²-1
g(5-3x) = 5²-30x +9x²-1 = 9x²-30x +24
g(f(x))= 9x²-30x +24
f(g(x)) =8-3x²
in option third the f(g(x)) is -3x³+8 which is incorrect
Answer:
at x = 
, 
= -3.5
Step-by-step explanation:
The given equation is
Now, substitute the value of x = in the above equation.
The given equation simplifies to,
now, 
So, the equation become
-3(2) + 2 + (1/2) = 
= -3.5
So, at x = , = -3.5
