Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
3.27 meters
Step-by-step explanation:
The given equation gives a y(0) = 0, for the deflection of 3 cm. Then for a deflection of 2.5 cm, we want y(x) = 0.005, half a centimeter above the low point on the beam. Using this value, we can solve for x:
0.005 = 3/6400x^2
32/3 = x^2
4√(2/3) = x ≈ 3.26599 ≈ 3.27 . . . . meters
The deflection of the beam is 2.5 cm at a distance of 3.27 meters from center.
Remember, -(-x)=x because the negatives cancel out
so
when p=-6 and q=7
p+(-q)-3
-6+(-7)-3
-6-7-3
-13-3
-16
Answer:

Step-by-step explanation:
<u>Fundamental Theorem of Calculus</u>

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.
Given indefinite integral:


If the terms are multiplied by constants, take them outside the integral:

Multiply by the conjugate of 1 - sin(6x) :






Expand:






![\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}](https://tex.z-dn.net/?f=%5Cimplies%2012%20%5Cleft%5B%5Cdfrac%7B1%7D%7B6%7D%20%5Ctan%20%286x%29%2B%5Cdfrac%7B1%7D%7B6%7D%20%5Csec%20%286x%29%20%5Cright%5D%2B%5Ctext%7BC%7D)
Simplify:


Learn more about indefinite integration here:
brainly.com/question/27805589
brainly.com/question/28155016
The slope is negative one half because perpendicular lines always have slopes that are opposite reciprocals
meaning not only are they reciprocals meaning 1 over the number (or flipping the numerator and the denominator of a fraction) you also change the sign