
a. The gradient is


b. The gradient at point P(1, 2) is

c. The derivative of
at P in the direction of
is

It looks like

so that

Then


Answer: No
Step-by-step explanation: To determine whether 5/3 is rational or irrational, it's important to understand that all fractions positive or negative are rational numbers.
So 5/3 is not an irrational number, it's rational.
Answer:
$1200
Step-by-step explanation:
There are 2 ways I immediately think about to solving the problem.
1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)
This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).
2) You multiply 200 by .20 , then multiply the product by 30.
This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).
Answer:
157 inches squared
Step-by-step explanation:
Divide the figure into smaller figures (see image for one way):
Then, find the area of each figure. In my example:
= (4x5)+(5x12)+(11x7)
= 20+60+77
= 80+77
= 157 inches squared