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
Answer:
58 degrees
Step-by-step explanation:
The little square in the corner signals a right angle/a 90 degree angle. If x and 32 add up to 90, then x is 58.
Traveling : total
8 : 25
x : 400
25 x 4 = 400 so 8 x 4 = 40 so the answer is 40.
Step-by-step explanation:
Here 6 - 8 = 4 - 6 = 2 - 4 = 0 - 2 = - 2
Thus, the common difference between any two consecutive term is - 2.
The recursive formula is given as:
<span>1st number = 11, 2nd number = 5.5, 3rd number = -5.5</span>
