G(x) = 2x + 2
g(a + h) - g(a) = 2(a+h) + 2 - (2(a) + 2)
g(a + h) - g(a) = 2a + 2h + 2 - 2a - 2
g(a + h) - g(a) = 2h + 2 - 2
g(a + h) - g(a) = 2h
Your final answer is a. 2h.
Answer:

Step-by-step explanation:
We need to find the directional derivative of the function at the given point in the direction of the vector v.
,point (0, 0, 0) and 
By Theorem: If f is a differentiable function of x , y and z , then f has a directional derivative for any unit vector
and

where 
since, 
then 


The partial derivatives are


Then the directional derivative is

so, directional derivative at point (0,0,0)




Answer:
11
Step-by-step explanation:
1. 6 + (-9) + 14
2. subtract 9 from 6 to get -3
3. -3 +14
4. subtract 14 - 3 to get 11.
Answer:
younger sibling = 29 years
older sibling = 35 years
Step-by-step explanation:
Let
x = younger sibling
y = older sibling
x + y = 64 (1)
The older sibling was born 6 years before their young sibling
x = y - 6 (2)
Substitute x = y - 6 into (1)
x + y = 64
y - 6 + y = 64
2y = 64 + 6
2y = 70
y = 70/2
y = 35 years
Substitute y = 35 into (2)
x = y - 6
x = 35 - 6
x = 29 years
Answer:
34
Step-by-step explanation:
You can break apart 27 into 20 and 7, and add that 7 to the other 7 to make 14, and add 14 to 20, to make 34.