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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
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Question 7
Let f be a differentiable function such that f(4) = 7 and f'(4) = . The graph of ƒ is concave up on the interval (3, 5). Which of the following is true about the approximation for f(3.5) found
using the line tangent to the graph of ƒ at a = 4?
A
f(3.5) 6.9 and this approximation is an overestimate of the value of f (3.5).
B
ƒ (3.5) 6.9 and this approximation is an underestimate of the value of ƒ (3.5).
C
D
f(3.5) 7.1 and this approximation is an overestimate of the value of ƒ (3.5).
f (3.5) 7.1 and this approximation is an underestimate of the value of ƒ (3.5).
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