Answer:
c is all the points in the open interval (0,25)
Step-by-step explanation:
Here given is a function
, which is continuous in the interval [0,25] and differentiable in (0,25)
Mean value theorem says there exists at least one c in the interval (0,25) such that

We have

For the given function

Hence we have c equals all the points in the open interval (0,25)
Answer:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
Answer:
It is true.
Step-by-step explanation:
congruent polygons have the exact same size and are a perfect match because all corresponding parts are congruent (equal). ... This means that if two polygons are similar, then their corresponding angles are congruent
Answer:
The first statement is incorrect. They have to be complementary.
Step-by-step explanation:
You can't say the measure of angle B is congruent to theta because it is possible for angles in a right triangle to be different.
You can only say that what he said is true if the angle was 45 degrees, but based on the information provided it is not possible to figure that out.
The other two angles other than the right angle in a right triangle have to add up to 90 degrees, which is the definition of what it means for two angles to be complementary. A is the correct answer.