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:
Option A, C, and E
Step-by-step explanation:
7 to the fourth power is the same as 7 times 7 times 7 times 7.
7^4 is the same thing as 7 to the fourth power, just rewritten.
I hope this helped, please give brainliest if this is correct! Thank you!
First sequence is Arithmetic because the common difference is 4.
Second sequence is Geometric because it is multiplied by -2 each time.
Hope this helps :)
[[x]] means to round down to the greatest integer less than or equal to x.