Answer:
See verification below
Step-by-step explanation:
We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

Now, differentiate to obtain


To obtain the required form, extract a factor in both the numerator and denominator:

Here's the pictureof the asking a question thing
do you see the paper clip
Answer:
Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
c) Solve the equation.
<u>Substitute x in the second equation and solve for y:</u>
- x + y = 51
- 2y + y = 51
- 3y = 51
- y = 51/3
- y = 17
<u>Then find x</u>
(11)
the equation of a line in point- slope form is
y = mx + c ( m is the slope and c the y-intercept
thus y = 4x + 3 ← in slope-intercept form
the equation of a line in point- slope form is
y - b = m(x - a ) ( m is slope and (a, b ) a point on the line )
thus y - 3 = 4 ( x - 0 ) or y - 3 = 4x ← in point- slope form
the equation of a line in standard form is
Ax + By = C ( a is a positive integer and B, C are integers
rearrange y - 3 = 4x into this form
4x - y = - 3 ← in standard form
(12)
y = - 2x - 1 ← in slope-intercept form
y + 1 = - 2x ← in point- slope form
2x + y = - 1 ← in standard form