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:
The measure of the fourth angle = 137.1°
Step-by-step explanation:
Let x = the measure of the fourth angle
Sum of all 4 interior angles in a quadrilateral equal 360°
so
x + 23.5° + 99° + 100.4° = 360°
x + 222.9° = 360°
x = 360° - 222.9°
x = 137.1°
Answer:
x=5 and 3
Step-by-step explanation:
x^2-8x+21=6
x^2-8x+21+16=6+16
(x-4)^2=1
(x-4)=±1, x=5 and 3
Answer:
y=-4/-3x+1
Step-by-step explanation:
