1. By the chain rule,
I'm going to switch up the notation to save space, so for example, is shorthand for .
We have
Similarly,
where
To capture all the partial derivatives of , compute its gradient:
2. The problem is asking for and . But is already a function of , so the chain rule isn't needed here. I suspect it's supposed to say "find and " instead.
If that's the case, then
as the hint suggests. We have
Putting everything together, we get
The total surface area of the object shown in the diagram is 164 inches.
<h3>
What is the total surface area?</h3>
The total surface area of a 3-dimensional object is the sum of the areas of the faces or surfaces of a 3-dimensional object. The object shown is the net of a cuboid.
Total surface area of a cuboid = 2 (lw + wh + lh)
where:
• l = length
• w = width
• h = height
2 { (10 x 3) + (10 x 4) + (4 x 3)}
2 (30 + 40 + 12)
2 x 82 = 164 inches
To learn more about cuboids, please check: brainly.com/question/9740924
#SPJ1
Answer:
A: 5x+20
Step-by-step explanation:
To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.
Answer: 0.77
Step-by-step explanation:
Given : The number of interior designers = 400
The number of interior designers prefer red = 92
The number of interior designers do not prefer red =
Now, the probability that a designer does NOT prefer red is given by :-
Hence, the probability that a designer does NOT prefer red = 0.77