Pierre, the mountain climbing ant, moves along the x-axis so that at time t its position is given by x(t) = 2cos(π/2 t^2).

For values of t in the interval [-1,1]
(a)Find an expression for the velocity of the ant at any given time t.
(b) Find an expression for the acceleration at any given time t.
(c)Determine the values of t for which the ant is moving to the right.
Justify your answer.
(d) Determine the values of t for which the ant changes direction.
Justify your answers.

13

step-by-step explanation:

169-1=168

168-3=165

165-5=160

160-7=153

153-9=144

144-11=133

133-13=120

120-15=105

105-17=88

88-19=69

69-21=48

48-23=25

25-25=0

since it took 13times to completely subtract it hence its square root is 13

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

maybe i can