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.
We know that
volume pyramid A=[scale factor]³*volume pyramid B
so
scale factor=∛[volume pyramid A/volume pyramid B]
scale factor=∛[60/937.5]----> scale factor=0.4
<span>the ratio of their heights is equal to the scale factor
hA/hB=0.4</span>
Answer:
The list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
Step-by-step explanation:
We know that in a triangle the greater angle has the longer side opposite to it.
From the given triangle,
Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.
Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.
Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.
Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
The intersection of plane ABCD is plane EFGH ang gc is dh
