Answer:
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
Step-by-step explanation:
Given values of g and h are:
g = -7
h = 3
<u>1. gh</u>
The two numbers are being multiplied
Putting the values

<u>2. g^2-h</u>
Putting the values

<u>3. g+h^2</u>
Putting the values

<u>4. g+h</u>
Putting the values

<u>5. h-g</u>
Putting the values

<u>6. g-h</u>
Putting values

Hence,
The values of given expressions are:
1. gh = -21
2. g^2 - h = 46
3. g + h^2 = 2
4. g + h = -4
5. h - g = 10
6. g - h = -10
The answer is 98-40 square root 6
Answer:
Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable
Step-by-step explanation:
We are given the Function
f(x) =
The two basic hypothesis of the mean valued theorem are
- The function should be continuous in [0,2]
- The function should be differentiable in (1,2)
upon checking the condition stated above on the given function
f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph
also the f(x) is differentiable in (0,2)
f'(x) = 6x - 2
Now the function satisfies both the conditions
so applying MVT
6x-2 = f(2) - f(0) / 2-0
6x-2 = 9 - 1 /2
6x-2 = 4
6x=6
x=1
so this is the tangent line for this given function.