a. The
component tells you the particle's height:

b. The particle's velocity is obtained by differentiating its position function:

so that its velocity at time
is

c. The tangent to
at
is

Answer:
Jordan made mistake in his first step while multiplying.
Step-by-step explanation:
Given expression of Jordan's work is
14(8+4x) = 6x-(5-11x)
In the first step, Jordan multiplied the numbers to remove the braces.
He multiplied 14(8+4x) wrong as 14*8 is 112 rather than 126and on the right hand side, he did not change the sign of 11x to positive as two negatives are positive when multiplied.
Hence,
Jordan made mistake in his first step while multiplying.
Answer:
7.8×10⁷
Step-by-step explanation:
You want to keep the coefficient (7.8) between 1 and 10 to achieve a normalized notation. Otherwise 78×10⁶ would also be an option.
<u>Answer:</u>
○ 1 hour 41 minutes or more
<u>Step-by-step explanation:</u>
We can make two equations that represent the total amount each plumber charges.
If
represents the number of hours they work, then:
•Total charged by Plumber A = 
• Total charged by Plumber B = 
Now, if Plumber A is more expensive than Plumber B, then:
Total charged by Plumber A > Total charged by Plumber B
∴
> 
Now all we have to do is solve for
:
> 
⇒ 
⇒ 
⇒ 
⇒ 
is equivalent to
= 100 minutes, which is the same as 1h 40min.
This means if Plumber A works more than 1h 40min, they become more expensive than Plumber B.
More than 1h 40min is equivalent to '1 hour 41 minutes or more', therefore the first option is correct.