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Jlenok [28]
3 years ago
11

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that s

atisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)
f(x) = x^3 − 4x^2 − 16x + 9, [−4, 4]
Find c=
Mathematics
2 answers:
kupik [55]3 years ago
8 0

Step-by-step explanation:

\qquad\sf {:}\longrightarrow f (-4)=(-4)^3-4 (-4)^2-16 (-4)+9

\qquad\sf {:}\longrightarrow -64-64+64+9

\qquad\sf {:}\longrightarrow -64+9

\qquad\sf {:}\longrightarrow -55

fredd [130]3 years ago
6 0

Step-by-step explanation:

\bf \: given \: that \\  \bf \: f(x) =  {x}^{3}  -  {4x}^{2}  - 16x + 9 \\ \\ \tt {:}\longrightarrow f( - 4) =  { - 4}^{3}  - 4( - 4) {}^{2}  - 16( - 4) + 9 \\ \tt {:}\longrightarrow  - 64 - 4(16)  + 64 + 9 \\ \tt {:}\longrightarrow  - 64 + 9 \\ \tt {:}\longrightarrow  - 55

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