Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
Find f(-3) :
f(x) = x² + 2x for x ≤ -3
That means for those values of x, less than or equal to -3, this is the function.
So, f(-3) = (-3)² + 2(-3) = 9 - 6 = 3
Now, f(-1) :
From the given data, we see it is: f(x) = 2 
We take this because -1 lies between -3 and 4.
Now, f(-1) = 2 
=> 
For f(4) :
Clearly, the function is: 
Therefore, <u>f(-3) + f(-1) - f(4) = 3 + 18 - (-1) = 3 + 18 + 1 = 22.</u>
Answer:
x(x-1)(3x-1)(x+3)
Step-by-step explanation:
Simplify both sides of the equation
-4.8=1.2s+2s+4
Combine like terms
-4.8=(1.2s+2s)+(4)
-4.8=3.2s+4
Flip the equation
3.2s+4=-4.8
Subtract both sides by 4
3.2s+4-4=-4.8-4
3.2s=-8.8
Divide both sides by 3.2
3.2s/3.2= -8.8/3.2
S=-2.75 will be the answer hope it helps
Answer:
I hope this helps you and you have an amazing day the answer
Width=12
Length=30
Step-by-step explanation:
L=2W+6
is
P=2L+2W
84=2(2W+6)+2W
84=4W+12+2W
84=6W+12
6W=84-12
6W=72
W=72/6
W=12 ans. for the width.
L=2*12+6=24+6=30 ans. for the length.
Proof:
84=2*30+2*12
84=60+24
84=84
