Answer:
x = 8
Step-by-step explanation:
When cutting the wire we will get two pieces
x and 12 - x
If we build a circle whith x , the lenght of the circle will be x, and if we look at the equation for a lenght of a cicle 2*π*r = x
then r = x/2π
and consequentely A₁ = area of a circle = πr² A₁ = π*x/2π
A₁ = x/2
With the other piece 12 - x we have to make an square so wehave to divide that piece in four equal length
side of the square = s
s = 1/4 ( 12 - x ) and the area is A₂ = [1/4 ( 12 - x)]²
A₂ = ( 12 - x )²/16
Then A₁ + A₂ = A(t) and this area as fuction of x
A (x) = x/2 + 1/16 ( 144 + x² -24x) A (x) =[ (8x + 144 + x² -24x)]/16
Taken derivatives in both sides
A´(x) = 8 + 2x - 24 = 0
2x -16 = 0 x = 8 and s = 12 - 8 s = 4
Answer:
9−4√5=(Decimal: 0.055728)
Step-by-step explanation:
1g/ml because a liter equals 1000 milliliters so if you divide 1000/1000 It's 1
m is 42. i just guessed so i hope you get it right
Answer:
12
Step-by-step explanation:
h'(x) = [f(x)*g(x)] '=f'(x )g(x) + f(x)g'(x)
h'(1) = [f(1)*g(1)] '=f '(1)g(1) + f(1)g'(1)
From the table f '(1)= -3, g(1)=2, f(1)= 3, g'(1) =6
h'(1) = f '(1)g(1) + f(1)g'(1) = -3*2 + 3*6= - 6+ 18 = 12
