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:
5 = 5
5 < 6
7 > 6
Step-by-step explanation:
The two slashes is the equal sign, comparing two numbers that are of the same value. The sign below that means "less than," and 5 is less than 6. The sign below the "less than" sign is the "greater than" sign, and in the given example, 7 is GREATER THAN 6.
Answer:
28.26 
Step-by-step explanation:
The radius is half of the diameter. 6/2 = 3, so the radius of this circle is 3 cm.
The formula for the area of a circle is: π
Plugging 3 into the radius, we have:
× π =
9 × π
We can round π to 3.14
9 × 3.14 = 28.26
Answer:
46
Step-by-step explanation:
Break the shape into smaller shapes, then solve:
Large Rectangle -> 4x8=32
Tiny Rectangle at the bottom ->2x3=6
Triangle at top can be broken into two right triangles ->
(4x2)(1/2)=4
(4x2)(1/2)=4
Add: 32+6+4+4=46
Answer:
8x^5
Step-by-step explanation:
4x³×2x²
=4×2x³+²
=8x^5
