Answer:
Step-by-step explanation:
So we have : c + 2.5 < 4.3
And it's asking whether c = 1.8 is a solution.
Substitue c = 1.8 in, we get :
1.8 + 2.5 < 4.3
4.3 < 4.3 (not true)
So, c = 1.8 is NOT a solution.
Answer:
50
Step-by-step explanation:
Answer:
n-17
Step-by-step explanation:
y = 9ln(x)
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2
curvature k = |y''| / (1 + (y')^2)^(3/2)
<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2)
= (9/x^2) / (1 + 81/x^2)^(3/2)
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)]
= 9x(x^2 + 81)^(-3/2).
To maximize the curvature, </span>
we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2)
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2]
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2)
Setting k' = 0 yields x = ±9/√2.
Since k' < 0 for x < -9/√2 and k' > 0 for x >
-9/√2 (and less than 9/√2),
we have a minimum at x = -9/√2.
Since k' > 0 for x < 9/√2 (and greater than 9/√2) and
k' < 0 for x > 9/√2,
we have a maximum at x = 9/√2. </span>
x=9/√2=6.36
<span>y=9 ln(x)=9ln(6.36)=16.66</span>
the
answer is
(x,y)=(6.36,16.66)
Answer:
- 2 1/4 pounds of blueberries
Step-by-step explanation:
Blueberries - b, raspberries - x
<u>Equations as per question:</u>
<u>Eliminate b and solve for x:</u>
- 1/5x = x - 1 4/5
- x - 1/5x = 1 4/5
- 4/5x = 9/5
- x = 9/5 : 4/5
- x = 9/5 *5/4
- x = 9/4
- x = 2 1/4
