<span>52 + 53 - 54 = 51
</span>None of them is the answer
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Discriminant, D = b² - 4ac
x² - 4x + 5 = 0 comparing to ax² + bx + c = 0
a = 1, b = -4, c = 5
D = b² - 4ac = (-4)² - 4*1*5 = 16 - 20 = -4
In taking the square root of the discriminant of -4, √-4 = 2i = Not Real. So:
Discriminant is -4, so the equation has no real roots.
The second option is correct.
Please don't give me credit, but I want to say that;
1. You need a picture attached to this
2. Make sure you add if 5 feet is the length or width, in addition to the 3 feet
3. The width can't be a negative value, so eliminate the negative answers
4. For the second answer, why is there a coma preceding another value? The width can can only be one value
You can add all these elements
Hoped this helped!
C -2 because of the thanos
