Why is knowing your units helpful
2 answers:
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For this case the generic equation of the line is given by:
Where,
m: slope of the line
b: intersection with the y axis
For this case we have:
Therefore, substituting values in the generic equation we have:
Answer:
The equation of the line is:
option 1
Answer:
a) Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on R
b) c=1
Step-by-step explanation:
a)The given function is;
For this function to satisfy the Mean Value Theorem, it must;
i) be continuous on [0,2]
ii)be differentiable on (0,2)
Since is a polynomial function, it is continuous on [0,2] and differentiable on (0,2) because polynomial functions are continuous and differentiable on the entire real numbers.
b)
Since the above two hypotheses are satisfied,it implies that, there is a certain such that;
Therefore the number that satisfies the conclusion of the Mean Value Theorem is c=1.
We can see from the graph that at x=1, the secant line is parallel to the tangent on the interval [0,2]
