1) Find the average rate of change of the function over the given interval. a) f(x) = x + 1, [2,3] b) f(x) = cot x

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التفاضل والتكامل1 )الفصل الأول(- المرحلة الأولى قسم الرياضيات التطبيقية - كلية العلوم - جامعة الانبار
دي ملاذ رحيم
الفصل الثاني الغايات والاستمراريةر1 و2(
Exercises.2.1and2.2:
1) Find the average rate of change of the function over the given
interval.
a) f(x) = x3 + 1, [2,3]
b) f(x) = cot x ,
2) Use the method in example 2 to find a) the slope of the curve at the
given point P and b) find an equation of the tangent line at P.
a) y = x - 3, P(2,1)
b) y = x, P(2, 8)
3) For the funcetion f(t) graphed here, find the following limits or
explain why they do not exist.
a) lim f(t)
t-2
b) lim f(t)
t--1
c) lim f(t)
d) lim f(t)
t-
t-0
s = f(t)
I-
-1
4) Which of the following statements about the function y = f(x)
graphed here are true, and which are false?
a) lim f(x) does not exist.
X-2
b) lim f(x) = 2
c) lim f(x) does not exist.
x-1
التفاضل والتكامل1 )الفصل الأول(- المرحلة الأولي قسم الرياضيات التطبيقية - كلية العلوم - جامعة الانبار
در ملاذ رحيم
الفصل الثاني الغايات والاستمرارية)1 و2(
Transcribed Image Text:التفاضل والتكامل1 )الفصل الأول(- المرحلة الأولى قسم الرياضيات التطبيقية - كلية العلوم - جامعة الانبار دي ملاذ رحيم الفصل الثاني الغايات والاستمراريةر1 و2( Exercises.2.1and2.2: 1) Find the average rate of change of the function over the given interval. a) f(x) = x3 + 1, [2,3] b) f(x) = cot x , 2) Use the method in example 2 to find a) the slope of the curve at the given point P and b) find an equation of the tangent line at P. a) y = x - 3, P(2,1) b) y = x, P(2, 8) 3) For the funcetion f(t) graphed here, find the following limits or explain why they do not exist. a) lim f(t) t-2 b) lim f(t) t--1 c) lim f(t) d) lim f(t) t- t-0 s = f(t) I- -1 4) Which of the following statements about the function y = f(x) graphed here are true, and which are false? a) lim f(x) does not exist. X-2 b) lim f(x) = 2 c) lim f(x) does not exist. x-1 التفاضل والتكامل1 )الفصل الأول(- المرحلة الأولي قسم الرياضيات التطبيقية - كلية العلوم - جامعة الانبار در ملاذ رحيم الفصل الثاني الغايات والاستمرارية)1 و2(
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