Answer:
The directional derivative of f at A in the direction of 
AD is 7.
Step-by-step explanation:
Step 1:
Directional of a function f in direction of the unit vector 
is denoted by 
,
.
Now the given points are
,
Step 2:
The vectors are given as
AB = (10-8, 9-9),the direction is
AC=(8-8,10-9), the direction is
AC=(11-8,13-9), the direction is
Step 3:
The given directional derivative of f at A 
is 9,
The given directional derivative of f at A 
is 2,
The given directional derivative of f at A 
is
The directional derivative of f at A in the direction of is 7.
Answer:
a) linear. Cost per minute is a constant.
b) f(x) = 40 -0.15x
d) f(100) = 25. The remaining value is $25 after using 100 minutes.
Step-by-step explanation:
a) Since the cost per minute is a constant, the remaining dollar value of the phone decreases by the same amount for each minute used. The cost as a function of minutes used is a linear function with a constant rate of change.
__
b) The value starts at $40 and decreases by $0.15 for each increment of x (minutes used). The function can be written as ...
f(x) = 40 -0.15x
__
d) Put 100 where x is in the function definition and do the arithmetic.
f(100) = 40 -0.15×100 = 40 -15
f(100) = 25
According to the variable and function definitions, x=100 means 100 minutes have been used; f(x) = 25 means the remaining value of the phone is 25 dollars.
f(100) = 25 means the phone's remaining value is $25 when 100 minutes have been used.
It's helpful to find 10%, as it is on a smaller scale and easier to find. From there it's simple to just multiply by 10 to get 100% of her earnings.
Please rate, thanks, and pick branliest answer (not necessarily mine) This really helps!
Answer:
Slope is -3, and y-intercept is (0,8)
Step-by-step explanation:
The solutions of the absolute value equation is determined as 15 and - 5.
<h3>Solution to the absolute equation</h3>
The solution to the absolute equation is determined as follows;
|x - 5| + 7 = 17
<em>collect similar terms</em>
|x - 5| = 17 - 7
|x - 5| = 10
<em>to resolve the absolute values, form two equations as follows;</em>
x - 5 = 10 and x - 5 = -10
x = 15 and x = -5
Thus, the solutions of the absolute value equation is determined as 15 and - 5.
The complete question is given as;
|x - 5| + 7 = 17
Learn more about absolute values here: brainly.com/question/1301718
#SPJ1
