Provide an appropriate response.Use the Intermediate Value Theorem to prove that 6 sin x = x has a solution between 
and ?.
What will be an ideal response?
Let f(x) = 
and let y0 = 
. f
? 0.6366 and f(?) = 0. Since f is continuous on 
and since 
is between f
and f(?), by the Intermediate Value Theorem, there exists a c in the interval 
, with the property that 
Such a c is a solution to the equation 6 sin x = x.
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Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is 
= 9.8t - 5.Find the body's displacement over the time interval from 
to 
given that 
when 
A. 176 B. 39.2 C. 216 D. 4
Solve the initial value problem.
= cot x, y(-2) = 9
A. y = -
+ 9
B. y = 
+ 9
C. y = 
+ 9
D. y = 
+ -2
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The total number of passengers riding a certain city bus during the morning shift is 900. If the child's fare is $.15, the adult fare is $.80, and the total revenue from the fares in the morning shift is 460, how many children and how many adults rode the bus during the morning shift?
__________ children __________ adults