Graph - Calculus - Solved Quiz, Exercises of Calculus

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Math 106BC Quiz 01 page 1 9/17/2010 Name. Songeitcd Sbtin & ( Remem Ben! Hane te 3 Df oe (D te signed anes mite gpk Sh _ arr tell fo wt could male 6 BS ¥- loot ™ table: hed Ag —e x [Abed | Sane HE) © # at f : «em Fig. 1 Graph of a function f. : don f Agel a 1. Consider the function f shown above. Next to it, sketch the graph of As(x) = [ f(t) dt. 1 2. Find fae. Show your steps. + wa [t¥n 1+ x4 The T= Bx ted = she 50 the f becomes: a fess ak = 2fetdun2e"€ 20% soe <. 2. Bonus Suppose the lower and upper limits of this integral are 1 and 4. What are the corresponding limits on the new integral, after the substitution is made? tm x2], wa (H/T = I4l =@) : un x24) ws [evT = 1422@ 3. Consider | 10+0.42° dx BA. Find the exact value. { 3 a 7; 4]! xi) 0+) [0x8] J lo + = xi dx = lOxtp 7% . = /Ox* jo ijn /0 fo 3B. What are the areas of the two rectangles required to find RHS(2) for this integral? l { ay mee fis K-ME)> f: (0+ 18)) = (0* ae) “Aloe, = C.0S- Ls aay 2 é A (A) =e (1+ ots 10.4) *