no substituion only rea numbersStep-by-stion:
No photo?? what are the choices
Answer:
(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.
(b)
Step-by-step explanation:
Given
Solving (a); Does the function satisfy M.V.T on the given interval
We have:
The above function is an exponential function, and it is differentiable and continuous everywhere
Solving (b): The value of c
To do this, we use:
In this case:
So, we have:
Calculate f(2) and f(0)
So:
This gives:
Note that:
This implies that:
So, we have:
Divide both sides by -4
Take natural logarithm of both sides
Apply law of natural logarithm
So:
Solve for c
We know that
[volume of a cube]=b³---------> b=∛Volume
b------> is the side length of a cube
The top block was 64 cm³------> b1=∛64-------> b1=4 cm
The middle block was 125 cm³------> b2=∛125------> b2=<span>5 cm
T</span>he biggest block was 729 cm³------> b3=√729------> b3=<span>9 cm
[</span><span>the stack of blocks tall]=b1+b2+b3-------> 4+5+9-----> 18 cm
</span><span>
the answer is
</span>the stack of blocks was 18 cm tall<span>
</span>
False. they could be skew
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