The calculation of the integral will give us the answer.
Amount = Int (2000e^(-0,2t))dt
With t = 0 to t = 10
A = 2000.In(e^(-0,2t))dt
Making U = -0,2t
U = -0,2t
dU/dt = d(-0,2t)/dt
dU/dt = -0,2
dU = -0,2dt
dt = dU/-0,2
_______________
Then,
A = 2000.Int (e^U).dU/-0,2
A = -10.000.Int(e^U)dU
A = -10.000.e^U
A = -10.000.e^(-0,2t) | (0,10)
A = -10.000.(e^(-2)) - [ -10.000.e^(0)]
A = -10.000.e^(-2) + 10.000
A ~ 8,646 Gallons
Answer:
The value of f(3) is 8 ⇒ D
Step-by-step explanation:
- In the function f(x) = y, y is the corresponding value of x
- Ex: If f(a) = b, then the value of y = b at x = a
Let us solve the question
∵ The given figure represents the function f(x)
→ That means every point on the graph represents f(x) = y
∴ f(x) = y
∵ We need to find f(3)
→ That means we need the value of y at x = 3
∴ x = 3
Look at the graph and find the y-coordinate of the point that lies on the curve and has x-coordinate = 3
→ Each small square on the x-axis represents 1 unit, and on the y-axis
represents 2 units
∵ There is a point on the graph that has x-coordinate = 3
∵ The y-coordinate of this point is 8
∴ The point (3, 8) lies on the graph of f(x)
∴ x = 3 and y = 8
∴ f(3) = 8
∴ The value of f(3) is 8
