Answer:
Step-by-step explanation:
In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
be memorized. suppose m denotes the total amount of a subject to be memorized and a(t) is the amount memorized in time t > 0. determine a differential equation for the amount a(t). (assume the constant of proportionality is k > 0. use a for a(t).)
1 answer:
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Answer:
OPTION B: 162, 486, 1458
Step-by-step explanation:
The given sequence is 2, 6, 18, 54, . . .
It is a geometric sequence and the common difference is 3.
The general form of a geometric sequence is: a, ar, ar², ar³, . . .
Here a = 2 and r = 3.
term of a Geometric progression is
.
Note that the fourth term is 54.
i.e.,
.
Similarly, .
Also, .
Hence, OPTION B is the answer.
Answer:
Step-by-step explanation:
Given
Two forces of 9 and 13 lbs acts angle to each other
The resultant of the two forces is given by
Insert the values
Resultant makes an angle of
So, the resultant makes an angle of with 9 lb force
Angle made with 13 lb force is