If

then the derivative is

Critical points occur where
. This happens for



In the first case, we find

In the second,

So all the critical points occur at multiples of
, or
. (This includes all the even multiples of
.)
The Formula of the relation is M = 8AT.
The mass of the metal sheet is 960 g.
The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).
Proportionality:
Removing the proportionality sign,
Where:
- K = constant of proportionality.
make K the subject of the equation:
- K = M/KT.................... Equation 1
From the question,
Given:
- M = 200 g
- A = 250 cm²
- T = 1 mm = 0.1 cm
Susbtitute into equation 1
- K = 200/(250×0.1)
- K = 8 g/cm³
Formula:
- M = 8AT................. equation 2
Hence the formula of the relation is M = 8AT
If,
- A = 400 cm²
- T = 3 mm = 0.3
Substitute these values into equation 2
Hence, the mass of the metal sheet is 960 g
Learn more about joint variation here: brainly.com/question/26047253
Answer:
f(-4) = 4
Step-by-step explanation:
Fro the graph attached,
We have to calculate the value of the function at x = -4.
As we can find from the graph at the input value x = -4, output value of the function is f(-4) = 4
Therefore, f(-4) = 4 will be the answer.
Answer:
I think the strawberry cake measure have to be 360⁰. so the arc measure is 360⁰÷3=100
so we have all three arcs congruent b/c all measures 100⁰
I think XYZ=100⁰
Answer:
Step-by-step explanation:
K(0 , 4)
Midpoint M (3 , 3)
Let Point L(x₂ , y₂)

Compare x and y coordinates

Cross multiply,
x₂ = 3*2 ; 4 + y₂ = 3*2
x₂ = 6 ; 4+ y₂ = 6
y₂ = 6- 4
y₂ = 2
L(6 , 2)