PLS HELP ILL GIVE BRAINLY
1 answer:
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Answer:
⇒ answer B
Step-by-step explanation:
* Lets revise some transformation
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Now lets solve the problem
∵ f(x) = x^1/3
- f(x) shifted 2 units to the right
∴ f(x) = (x - 2)^1/3
- f(x) shifted 2 units down
∴ f(x) = (x - 2)^1/3 - 2
*
Answer:
8333.33
Step-by-step explanation:
Given that the rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt, where P is the initial rate. Use the improper integral
∫^[infinity]_0 Pe^-kt dt
with P = 50 to find the total amount of the waste that will enter the atmosphere for each value of k.
k=0.06
Hence the total amount of waste that can enter the atmosphere when k =0.06 is given by
Substitute limits
=8333.33