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.
Answer:
4
Step-by-step explanation:
If you set the numbers in order from least to greatest, you will find that 4 is the middle value(median)
Answer:
Longer than
Step-by-step explanation:
The lengths of sides A C and F E are congruent. The lengths of sides B C and D E are congruent. Therefore:
AC = FE, BC = DE
Also m∠C is greater than m∠E
∠C is the angle opposite to line AB and ∠E is the angle opposite to line DF. Since AC = FE, BC = DE and m∠C is greater than m∠E. The length of a side of a shape is proportional to its opposite angle, since the opposite angle of AB is greater than the opposite angle of DF therefore AB is greater than DF
Answer:
first one
hope it helps you ...
plzzz plzzz plzzz mark as brainliest
Answer:
Sum of the Roots = 37
Product of the Roots = 27
Step-by-step explanation:
Here, the given expression is 
Now the general Quadratic Equation is of the form:
Here, Sum of the Roots = 
and the Product of the Roots = 
So, comparing the general equation with the given equation, we get:
a = 1, b = -37 and c = 27
So, Sum of the Roots = 
= 37
and the Product of the Roots = 
= 27
