Remember the chain rule.
L(x)=f(g(x))
L'(x)=f'(g(x))g'(x)
take the derivative of f(g(x)). just treat them like they are variables. so you get:
h'=f'(g(x))g'(x)
now plug in your x value and evaluate:
h'(1)=f'(g(1))(g'(1))
substitute in values that you know and evaluate again
h'(1)=f'(3)(-3)
h'(1)=(-5)(-3)=15
Answer:
Option A - ∑Fx and ∑τz and ∑Fy
Step-by-step explanation:
All the force will be in x and y plane only
So Torque will be in z plane
These 3 quantities should be 0
∑Fx and ∑τz and ∑Fy
The power Needed to drive the boat at 19 knots is 24
I'm not completely sure which way they would like for you to do it
but anyways
3 to 15 is a times 5
so 5 times 5 is 25
so a possible width can be 25
as in 15 by 25
or
5 to 15 is times 3
so 3 times 3 is 9
so a possible width can be 9
as in 15 by 9
I personally think 25 inches wide would be the better answer
let her lunch = l, her gym clothes = g, her books = x
20 pounds is the amount she can carry
her lunch (1) weighs 0.75 lbs
her clothes (1) weighs 2.3 lbs
her books (x) = 3.4 lbs
Set the inequality
3.4x + 2.3 + 0.75 ≤ 20
Simplify
3.4x + 3.05 ≤ 20
3.4x + 3.05 (-3.05) ≤ 20 (-3.05)
3.4x ≤ 16.95
3.4x/3.4 ≤ 16.95/3.4
x ≤ 4.99 (rounded)
x ≤ 4.99 can be one of your inequalities.
her books can weigh up to 4.99 pounds before her backpack breaks
hope this helps