Answer:
<h2>The slope of the line tangent to the function at x = 1 is 2.01 ≅2.</h2>
Step-by-step explanation:
Using the formula of derivative, it can be easily shown that,
where
.
Here we need to show that as per the instructions in the given table.
Δy = f(x + Δx) - f(x) = f(1 + 0.01) - f(1) =
.
In the above equation, we have put x = 1 because we need to find the slope of the line tangent at x = 1.
Hence, dividing Δy by Δx, we get,
.
Let's examine this taking a smaller value.
If we take Δx = 0.001, then Δy =
.
Thus,
.
The more smaller value of Δx is taken, the slope of the tangent will be approach towards the value of 2.
Answer:
Step-by-step explanation:
G=30t+40, C=20t+60, C=G
30t+40=20t+60, subtract 40 from each side
30t=20t+20, subtract 20t from each side
10t=20, divide each side by 10
t=2
So both garages charge the same fot two hours of work.
Answer:
22.
Step 1: Find area of inner square = 4 ft × 12 ft = 48ft2
Step 2: Find area of outer shape =
25 ft +11 ft = 36 cm2
Step 3: Area of shaded region = area of outer shape – area of inner square
= 36 ft2 – 48 ft2
= 12 ft2
Yes Dana is correct because he is black and it’s Black Lives Matter month
Answer: n=-28
Step-by-step explanation: