Answer:
y = 3.75+1.74= 5.49=5.5 =5.5
4(3.75) - 2(5.5) =15 - 11 =4
Step-by-step explanation:
y = x+ 1.74 → -x + y = 1.74
(1/2)(4x - 2y = 4) → 2x - y = 2
Add two eq → x=3.74 and y=5.5
The problem says that u need replace but with the process before you can get the result easily.
y = 3.75+1.74= 5.49=5.5 ≠ 0
4(3.75) - 2(0) =15 ≠ 4
y = 4+1.74= 5.74=6 ≠ 4
4(4) - 2(4) =8 ≠ 4
y = 3.75+1.74= 5.49=5.5 =5.5
4(3.75) - 2(5.5) =15 - 11 =4
y = 5.5+1.74= 7.24 ≠ 0
4(5.5) - 2(4) =14 ≠ 4
The maximum volume of the cylinder in exact form is; V_max = 2560π/27
<h3>How to maximize the volume of a cylinder?</h3>
Let us define the variables as:
Radius of cone = r
Radius of cylinder = x
Height of Cone = h
Height of Cylinder = y
The general equation for volume of the cylinder is;
V = πx²y
Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:
Height of triangle above cylinder/Base of Triangle above cylinder = Height of full triangle/Base of full triangle
This gives;
(h - y)/2x = h/2r
Making y the subject gives us;
h – y = hx/r
y = h – hx/r
y = h(1 – x/r)
Plug in y into our Volume equation:
V(x) = πx²h(1 – x/r)
V(x) = πh(x² - x³/r)
To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:
V'(x) = πh(2x - 3x²/r)
V'(x) = 0
Thus;
(2x - 3x²/r) = 0
x( 2r – 3x) = 0
Thus;
x = 0 or x = 2r/3
Put x = 2r/3 in our volume equation to find V_max
V_max = πh((2r/3)² – (2r/3)³/r)
V_max = πh(4r²/9 - 8r²/27)
V_max = πh(12r²/27 - 8r²/27)
V_max = 4πhr²/27
Thus, at r = 8 and h = 10, we have;
V_max = 4π(10)8²/27
V_max = 2560π/27
Read more about Maximizing Volume of Cylinder at; brainly.com/question/10373132
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Answer:
+$650 because there is no loss of money
Step-by-step explanation:
R(9p^2+73p+70)
r(9p+10)(p+7)
Answer:
x=-3
Step-by-step explanation:
