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homework001 - Calculus 6E Chapter 2 Form F ewart'The...

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Unformatted text preview: Calculus 6E Chapter 2 Form F ewart - 'The displacement (in meters) of an object moving in a straight line is given by s = 1+ 21+t2 /4 , where t is measured in seconds. Find the average velocity over the time period [1,15] . If a ball is thrown into the air with a velocity of 45 W5, its height in feet after t seconds is given 'by y = 45t —15t2 . Find the instantaneous velocity when t = 4. ' If lim f (x) = 4.5 , then if ling f (x) exists, to what value does it converge? I ‘ x43- x—) elect the correct answer. . 6.5 ' 4.5 «it: IIHIIIIIII III-ll“. III-ll“. I! V. II. I [III-III III-IIIIIIIIIIII " III-III-IIIIIIIH I IIIIiIIIIIIll-IIIIIIIIIIIIII .'_ 2 The function has been evaluated at the given numbers (correct to six decimal places). Use the results to g guess the value of lim f (x) .. ' " X-Dl unnm Him 1'02572 10263341002513 1.00025 0.91608 0951445 0.976177 0.997512 0.99975 Select the correct answer. a. 1.255039 b. 1.911314 0. 1.969944 (1. 1.473889 e. 1 6. Evaluate the limit. lim (x + 4)5 (x2 — 10) x—)l Stewart - Calculus 6E Chapter 2 Form F 7. Find the limit. . Vx2—9 Inn—~— x->-°° 2x — 6 8. Find the limit. lim tan’1 (llx) x—iO+ 9. Evaluate the limit and justify each step by indicating the appropriate properties of limits. . 8x2—9x+1 11m 2 x->°° 3x +9x—3 10. Find an equation of the tangent line to the curve y = 4x3 at the oint (—4, — 256) . P - “unsung-wasn‘t!“ 14. Determine where f is discontinuous. F; ifx<0 f(x)= 3—x if OSx<3 (3-x)2 if x>3 15- If f and g are continuous functions with f (2) = 2 and linéb f (x) — g(x)] = 2, find g(2) . 3—) 16. Find the limit. lim (Vx2+ax—«Jx2+bx) 27—)” ...
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