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DENIUS [597]
3 years ago
9

F an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f (x )equals 117

x minus 13 x squared​, find the following.
​(A) The instantaneous velocity function v equals f prime (x )
​(B) The velocity when xequals0 and xequals3 sec
​(C) The​ time(s) when vequals0
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
5 0

Answer:

117, 9

Step-by-step explanation:

given that an object  moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by

f (x )equals 117 x minus 13 x squared​,

f(x) = 117x-13x^2

a)Instantaneous velocity function

v(x) = f'(x) = 117-26x

b) When x=0 we get

v(0) = 117 feet /sec

c) When v =0 we have

117=13x\\x=9

At 9 seconds  velocity will be 0

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