Answer:
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
Explanation:
a(t) = 2i + 6tj + 12t²k
v(t) = ∫a(t)dt
= ∫(2i + 6tj + 12t²k)dt
= 2ti + (6t²/2)j + (12t³/3)k + c
= 2ti + 3t²j + 4t³k + c
v(0) = i
i = 0i + 0j + 0k + c
c = i
∴ v(t) = 2ti + 3t²j + 4t³k + i
v(t) = (2t + 1)i + 3t²j + 4t³k
r(t) = ∫ v(t)dt
= i ∫ (2t + 1)dt + 3j ∫ t²dt + 4k ∫ t³dt
= i (2t²/2 + t) + 3j(t³/3) + 4k(t⁴/4) + d
= i (t² + t) + jt³ + t⁴k + d
r(0) = 7j - 4k
0i + 0j + 0k + d = 7j - 4k
d = 7j - 4k
∴ r(t) = (t² + t)i + t³j + t⁴k + 7j - 4k
r(t) = (t² + t)i + (t³ + 7)j + (t⁴ - 4)k
I am going to say (C) That seems like the most obvious answer to me.
Answer:
$0
Explanation:
Profits will be $0 if sales turn out to be $3.2 million.
Profit will decrease by ($0.20) million.
Degree of operating leverage = change in operating income ÷ change in sales
![5=\frac{[\frac{EBIT1-0.20}{0.20}]}{\frac{3.2-4}{4} }](https://tex.z-dn.net/?f=5%3D%5Cfrac%7B%5B%5Cfrac%7BEBIT1-0.20%7D%7B0.20%7D%5D%7D%7B%5Cfrac%7B3.2-4%7D%7B4%7D%20%7D)
(EBIT1 - 0.20) ÷ 0.20 = -1
(EBIT1 - 0.20) = -0.2
EBIT 1 = 0
Therefore,
Profits = $0
Answer:
Idea generation
Explanation:
This is the process of developing , creating and communicating ideas which are abstract concrete or visual. This process involves constructing the idea,innvoting it, developing the process, and bringing it to reality.
Answer:
C. A trial balance presents data in debit and credit format.
Explanation:
In trial balance, there are two columns namely debit columns and credit columns. The total of debit and credit columns should always be matched.
The debit columns records assets and expenses side whereas, the credit column record revenue, stockholder equity, and the liability side.
Therefore, option C is correct and the rest options are wrong.