12 | 12
— — —
20 | 6
ab = 2 * 6 = 12
4b/2 = (4 * 6) / 2 = 24 / 2 = 12
a^3 + 2b = 2^3 + 2 * 6 = 8 + 2 * 6 = 8 + 12 = 20
b^2 / (4 + a) = 6^2 / (4 + 2) = 6^2 / 6 = 36 / 6 = 6
Please consider marking this answer as Brainliest to help me advance.
I think the answer should be c
8.1 Function of Two Variables
Many functions have several variables.
Ex. There are 3 types of football tickets. Type A costs $50, type B costs $30, and type C costs
$20. If in a match, x tickets of type A, y tickets of type B, and z tickets of type C are sold,
the total income of ticket sale is f(x, y, z) = 50x + 30y + 20z.
Def. A real-valued function of two variables f consists of
1. A domain A consisting of ordered pairs of some real numbers (x, y).
2. A rule that associates with each ordered pair in A with one real number, denoted by
z = f(x, y).
Ex. (Ex 1, p.532) f(x, y) = x + xy + y
w + 2. Compute f(0, 0), f(1, 2), and f(2, 1).
Ex. Find the domain of a. f(x, y) = x
2+y
2
, b. g(x, y) = 2
x−y
, c. h(x, y) = p
1 − x
2 − y
2.
Ex. Find the domain of g(r, s) = √
rs.
The graph of a function z = f(x, y) is the collection of all points {(x, y, f(x, y)) : x, y ∈ A}
in R
3
(Fig 5, p.534; Fig 6, p.535).
The graph of z = f(x, y) is 3 dimensional and it is difficult to draw. So we use level curves.
A level curve is the graph of
c = f(x, y)
on xy-plane for a constant c. By drawing the level curves corresponding to several admissible
values of c, we obtain a contour map. (Fig 7, p.535; Fig 8, p.536)
Ex. Ex 5, p.536.
HW. C8.1: SC1, 2, 3, Ex 31, 33
I have no idea what in the world all those 9s are doing there,
but the decimal form of 69/25 is 2.76 .
Answer:
0.9544
Step-by-step explanation:
Given that, his bell shapes and hence follows a normal distribution.
Mean (x) = 25.6 ; standard deviation (s) = 0.9
Approximate proportion of observation that lies between 23.8 and 27.4
Taking the Zscores of both values :
X - mean / standard deviation
(23.8 - 25. 6) / 0.9 = - 1.8/0.9 = - 2
P(Z < - 2) = 0.0228
Also;
(27.4 - 25.6) / 0.9 = 1.8 / 0.9 = 2
P(Z> 2) = 0.9772
0.9772 - 0.0228 = 0.9544
