Answer:
Step-by-step explanation:
Use Desmos
is conservative if there is a scalar function such that . This would require
(or perhaps the last partial derivative should be 4 to match up with the integral?)
From these equations we find
so is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:
Answer:
59
Step-by-step explanation:
just add the 2 and you should get 59
Given:
Number of spheres = 2
Number of prisms = 3
Number of pyramids = 5
To find:
The probability that a pyramid will be selected.
Solution:
We have,
Favorable outcomes = Number of pyramids
= 5
Total outcomes = Total number of figures
=
=
Now, the required probability is:
Therefore, the probability that a pyramid will be selected is 0.5.
The length of each side of the square is 3 ft.
<u>Step-by-step explanation:</u>
We have , A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the triangle is 43.5 ft . We know that area of a square = . According to question:
area of square =
area of triangle = 43.5 ft
total area = 52.5 ft.
Total area = area(square+triangle)
⇒
⇒
⇒
⇒
⇒
Therefore, the length of each side of the square is 3 ft.