1- The position function of a freight train is given by s(t)=177(t+1)²

with s in meters and t in seconds. At time t = 14.8 seconds, find the train's velocity and acceleration.

a. velocity is -0.1092 metres/second, acceleration is 0.0221 metres/(seconds square)

b.velocity is -0.0057 metres/second, acceleration is 0.0011 metres/(seconds squared)

c.velocity is -0.0897 metres/second, acceleration is 0.0170 metres/(seconds squared)

d.velocity is -0.0897 metres/second, acceleration is -0.0170 metres/(seconds squared)

e.velocity is 0.0449 metres/second, acceleration is 0.0028 metres/(seconds squared)

f.velocity is -1.4180 metres/second, acceleration is 0.2692 metres/(seconds squared)

2- The daily temperature in degrees Fahrenheit of Phoenix in the summer can be modeled by the function

T(x) = 9410cos ( /12 (x9.2) )

where x is hours aftermidnight. Find the rate at which the temperature ischanging at 8.2 p.m.

a.2.3224

b.6.0345

c.0.6776

d.1.4712

e.1.0341

f.1.5085

3- Consider the following table

x		f(x)		g(x)		f'(x)		g'(x)
0		2		5		0		2
1		1		-2		3		0
2		4		4		1		-1
3		3		-3		2		3

What is h'(2) if h(x)=f(x+f(x))

a. This derivative does not exist

b. -1

c. 0

d. 2

e. -4

f. 1

4- Consider the following table

x		f(x)		g(x)		f'(x)		g'(x)
0		2		5		0		2
1		1		-2		3		0
2		4		4		1		-1
3		3		-3		2		3

What is h'(2) if h(x)=g(2+f(x²1))

a. 18

b. This derivative does not exist

c. 36

d. -18

e. 9

f. -36

5- Consider the following table

x		f(x)		g(x)		f'(x)		g'(x)
0		2		5		0		2
1		1		-2		3		0
2		4		4		1		-1
3		3		-3		2		3

What is h'(3) if h(x)=f(g(x)+f(x))

a. 5

b. This derivative does not exist

c. -10

d. 10

e. 0