Answer:
(d) 
General Formulas and Concepts:
<u>Algebra I</u>
- Functions
- Function Notation
<u>Calculus</u>
Derivatives
Derivative Notation
Derivative Property [Addition/Subtraction]:
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Differentiate</u>
- Basic Power Rule:

- Simplify:

- Multiply:

Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
(a-b)^2 = a^2-2ab+b^2
(8-5i)^2 = 8^2-2(8)(5i)+(5i)^2
= 64-80i+25i^2
i^2=-1
So
= 64-80i+25(-1)
=64-25-80i
= <em><u>39 - 80i</u></em>
which is your answer :)
Answer:
It will take 10 hours.
Step-by-step explanation:
By using the formula of motion,
v = u + at
Here, v = Final speed of an object
u = initial speed
a = Acceleration by which the speed is increasing
t = Duration or time
Now substitute the values given in the question,
80 = 50 + 3t
3t = 30
t = 10 hours
Therefore, after 10 hours speed of the bus will be 80 mph.