Multi variable calc question on differentiability
1 answer:
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Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
....(1)
...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
...(3)
...(4)
Adding equation (3) and (4) we get
Substitute y=10 in equation (3) we get
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
Substitute y=0 in equation (3)
Substitute x=0 in equation (4)
Substitute y=0 in equation (4)
Substitute x=0 and y=40 and in equation (1)
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts
m = =
= 3
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = 3x + 3 ← equation of line