Amass that weighs 8 lb stretches a spring 24 in. the system is acted on by an external force of 4sin(4t). if the mass is pulled down 6 in and then released, determine the position of the mass at any time t. assume that the u-axis is directed downwards and g=32 ft/s^2. express your answer in as a linear combination of sin(at)and cos(at).

answer: your correct answer is b. d.

step-by-step explanation:

the answer is  

a.

4,624π mm2

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

the answer to this in exact form is 4/35 but in decimal form its 0.1142857

hope this if needed hmu