Answer:
x(t) = ⅟₁₀₈t⁴ + 10t + 24
v(t) = ⅟₂₇t³ + 10
Explanation:
a(t) = C₁t²
velocity is the integral of acceleration
v(t) = ⅓C₁t³ + C₂
position is the integral of velocity
x(t) = (⅟₁₂C₁)t⁴ + C₂t + C₃
x(0) = 24 = (⅟₁₂C₁)0⁴ + C₂0 + C₃
C₃ = 24
x(6) = 96 = (⅟₁₂C₁)6⁴ + C₂6 + 24
72 = 108C₁ + 6C₂
C₂ = 12 - 18C₁
v(6) = 18 = ⅓C₁6³ + C₂
18 = 72C₁ + C₂
18 = 72C₁ + (12 - 18C₁)
6 = 54C₁
C₁ = 1/9
C₂ = 12 - 18(1/9)
C₂ = 10
Answer:
The fourth graph is the answer
Explanation:
We have inequalities


For the first inequality all points at or below the graph of y are solutions, and for the second inequality all the points above the graph of y are the solutions. So, the solution to these inequalities are points that are above the graph of
and below the graph of
. The shaded region in the fourth graph satisfies these conditions.
<em>Looking at other choices, we see that the first two graphs do not even represent the graphs of our inequalities, and the third graph does represent the inequalities but shades the wrong region. </em>
P.S: the graph of the inequality
is dashed because
is "greater than" and not "equal to"
, so this indicates that the values on the line
are not included. And the graph of the inequality
is a solid line because
is "less than or equal to"
, so we are including the values on the line
, and that's why it's solid.
Answer: Earth scientists have theorized that the Earth's core is responsible for the planet's magnetic field as well as plate tectonics.
Explanation:
a. Sweet corn and possibly d. okra.
Answer:
In Metaphase 1 of meiosis, the chromosomes all line up in pairs in the middle