Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution 
from here we see that 
, and if we solve for x we got 
, so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
The force needed to keep the cart at rest is 149.022 pounds
<h3>Force and Motion</h3>
Given Data
- Weight of cart = 200 pounds
The force needed to keep the cart at rest is the vertical component of the resultant force, hence we have
Fy = Mg sin θ
Substituting our given data we have
Fy = 200 sin 40
Fy = 200 *0.74511
Fy = 149.022 pounds
Learn more about force here:
brainly.com/question/12970081
Answer:
x = ± 
Step-by-step explanation:
Given
y = x² + 11 ( subtract 11 from both sides )
y - 11 = x² ( take the square root of both sides )
± = 
, hence
x = ±
Answer:
x = -3
Step-by-step explanation:
