A
The velocity is found by differentiating the given cubic.
x'(t) = 2t^3 - 15t^2 + 24t This is the distance
x'(t) = 6t^2 - 20t + 24 This is the velocity (first derivative)
x"(t) = 12t - 20 This is the acceleration (second derivative)
x'(2) = 6(2)^2 - 20*2 + 24
x'(2) = 24 - 40 + 24
x'(2) = 48 - 40
x'(2) = 8 units per second.
x"(2) = 12(2) - 20
x"(2) = 24 - 20
x"(2) = 4 units per second^2
B
at t = 2 the acceleration is positive. That's a pretty good indication that the velocity is increasing.
C
When x(t) is minus, then the particle is moving left.
At t = 0 the object is not moving (x(t) = 0)
Any value less than 0 and the object is moving left. Try a couple of values.
x(-1) = 2(-1)^3 - 15(-1)^2 +24(-1) Whatever that is is minus.
t < 0 will make the object move left.
Answer:
11.95
Step-by-step explanation:
If she had $6.95 and she owed her friend 5 dollars that means the friend gave her 5 dollars. So $6.95 + $5 = to $11.95. So that's how much the snack cost
Answer:
the median is 8 because it is the middle number there is no mode mean is 7
Answer:x=-8
Step-by-step explanation:
Answer:
Substitute f(x)=0
0=5-4x over 15 multiply both sides
0=75-4x move the variable to the left
4x=75 divide both sides
solution x=75 over 4
alternate form is x=18 3 over 4, x=18.75
Step-by-step explanation: