The amount of salt in the tank changes with rate according to
which is a linear ODE in 
. Multiplying both sides by 
gives
so that the left side condenses into the derivative of a product,
Integrate both sides and solve for to get
Given that 
, we find
and we get the particular solution
7x+3y=25
-2x-y=-8
7x+3y=25
(-2x-y=-8)3
7x+3y=25
-6x-3y=-24
x. =1
x=1
now you plug in that x value
-2(1)-y=-8
-2-y=-8
+2. +2
-y = -6
-1. -1
y = 6
(1,6)
Answer:
x is 13.03
Step-by-step explanation:
Start by determining the length of the horizontal side of one of the triangles shown. The Pythagorean Theorem applies here:
(horizontal side)² + 17² = 19², so that:
(horizontal side)² + 17² = 19² - 17², or 72
Then the length of the horizontal side is +√72, or √36√2, or 6√2.
From the diagram it is obvious that the width of the rectangle, x, can be found by subtracting twice the length of the horizontal side of one of the triangles from 31 (base of the entire figure):
x = 31 - 2(6√2) = 13.03
x is 13.03
(88sin20)(t - 16t²) = 0
(8(0.3090169944)(t - 16t²) = 0
(2.472135955)(t - 16t²) = 0
2.472135955t - 39.55417528t² = 0
Answer: 51?
Warning!:
I might be wrong because I haven't done this in a long time, so make sure to double-check.
Other than that, I hope this helps!
