Q1 : a) A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].If so, find all values c in [a,b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x) = -10x^2 + 5x - 15 on [-20,-18] c = ?(Separate multiple answers by commas.) b) A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b]. If so, find all values c in [a,b] guaranteed by the Mean Value Theorem Note, if the Mean Value Theorem does not apply, enter DNE for the c value. f(x)=x^2−1 / x^2−9 on[0,6] c = ? (Separate multiple answers by commas.) c) Suppose f(x) is continuous on [4,7] and
Q1 : a) A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b].If so, find all values c in [a,b] guaranteed by the Mean Value Theorem
Note, if the Mean Value Theorem does not apply, enter DNE for the c value.
f(x) = -10x^2 + 5x - 15 on [-20,-18]
c = ?(Separate multiple answers by commas.)
b)
A function f(x) and interval [a,b] are given. Check if the Mean Value Theorem can be applied to f on [a,b]. If so, find all values c in [a,b] guaranteed by the Mean Value Theorem
Note, if the Mean Value Theorem does not apply, enter DNE for the c value.
f(x)=x^2−1 / x^2−9 on[0,6]
c = ? (Separate multiple answers by commas.)
c) Suppose f(x) is continuous on [4,7] and −4 ≤ f′(x) ≤ 5 for all x in (4,7). Use the Mean Value Theorem to estimate f(7)−f(4).
Answer: __?__ ≤ f (7) − f (4) ≤ __?__
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