If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Answer: In attached
Step-by-step explanation:
Use the given functions to set up and simplify
Attachment has your answer.
I’m not good at typing functions on this app so this image is all I could give.
Answer:
270 yds squared
Step-by-step explanation:
You need to area of each of the shapes that make up the triangular prism. So, the side triangles, the back rectangle, the bottom rectangle and the top rectangle.
Side triangle (1x): base*height/2
12*5/2
60/2
30 yds, 60 yds for both sides.
Back rectangle: length*width
5*7
35 yds
Bottom Rectangle: length*width
7*12
84 yds
Top rectangle: length*width
7*13
91 yds.
To get the final answer, you add the surface areas together to get the final amount of yards: 30+30+35+84+91= 270 yds squared. Hope this helps.
Slope Intercept: Y=mx + b
1. Y= -2/3x + -4
2. Y= 1/3x + 7
Answer:
x = 4
Step-by-step explanation:
f(x) = I x+1 I
when x = -5
f(-5) = I (-5) +1 I
= I -5+1 I
= |-4|
= 4
