Pleas help me with this problem. Urgent. Will mark BRAINLIEST.
1 answer:
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<span>-3+6-12+24 <---- notice the terms firstly, they go as
-3 , +6 , -12 , +24 ,.... <---- to get the next term's value, you multiply it by -2
thus, is a geometric sequence, and -2 is the "common difference", and the first term is -3 of course.
so... what's the sum of the first 7 terms?
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-3 , +6 , -12 , +24 ,.... <---- to get the next term's value, you multiply it by -2
thus, is a geometric sequence, and -2 is the "common difference", and the first term is -3 of course.
so... what's the sum of the first 7 terms?
</span>
<span>
</span>
</span>
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After seconds it reaches a height of 60 cm from the ground.
i.e
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
replacing the derived equation of k into R(t) = acos (bt) + d
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For
where ;
Then b = 6
∴
R (t) = 60 - 60 cos (6t)