CALC 2 homework
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CUNY Kingsborough Community College *
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Course
MATH 1600
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
10
Uploaded by DukeIronKomodoDragon7
—Ho @ Take Test: Homework 03 QUESTION 1 Tu Find the critical number(s), if any, of the function /() = 2416 u Oc+4 (O d.None of these 10 points QUESTION 2 If two resistors with resistances £1 and R2 are connected in parallel, as in the figure, then the total resistance R measured in ohms (Q), is given by: 11 —=—+ R R, R Lo If Ry and R are increasing at rates of 0.1 Q/s and 0.5 Q/s respectively, how fast is R changing when &1 =75 and Ry=100? Round the result to the nearest thousandth. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
9:46PM Sun Feb 4 ~2(059% @ ) @ Take Test: Homework 03 O a.0.1596 /s (O b.0.1245 Q/s (0c.0.19749Q/ s (0d.0.1688 Q/s Oe.0.1454 Q/s 10 points Save Answer QUESTION 3 Use the linear approximation of the function /() =V 9—x at 4 = 0 to approximate the number v 9.04. O a.7.4445 O b.3.0067 (¢ 0.1556 (O d.2.2556 (e 74556 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
9:46PM SunFeb 4 =20 59% @ ) @ Take Test: Homework 03 QUESTION 4 Find the absolute maximum and absolute minimum values, if any, of the function Jx)=x- \/; on [0, 9] (O a. Abs. max. f(0)=0 1 1 abs. min. f[j'= ‘I (O b. Abs. max. f(9)=6 abs. min. f(0)=0 O ¢ Abs. max. f(9)=6 abs. min. f(0)=/(1)=0 (O d. Abs. max. f(9)=6 abs. min. J i]__i 4 4 10 points Save Answer QUESTION 5 Two cars start moving from the same point. One travels south at 50 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. (O a.81.38 mi/h () b.55.42 mi/h Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
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9:46PM Sun Feb 4 = 2059% @ ) @ Take Test: Homework 03 QUESTION 5 Two cars start moving from the same point. One travels south at 50 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing 2 hours later? Round the result to the nearest hundredth. O a.81.38 mi/h (O b.55.42 mi/h (O ¢ 53.85 mi/h ( d.76.43 mi/h () e.65.49 mi/h 10 points ~ Save Answer QUESTION 6 Find all the critical numbers of the function. g(x)=3x+sin(3x) Oa. m@2nt1) 12 Ob. m2n+1) 3 Oc 3 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
(SR WA~V IESTIT I Y o = 2(059% @ ) @ Take Test: Homework 03 Find all the critical numbers of the function. g(x)=3x+sin(3x) Oa. A2n+D) 12 Ob. m2n+1) 3 Oc o 3 Od. 7o 6 (O e.None of these 10 points Save Answer QUESTION 7 If f(6)=4and f'(x) <=5 for 6<x <10, how large can f(10) possibly be? Oa.-20 Ob.16 Oc.24 (Od.20 Oe.-16 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
9:47PM Sun Feb 4 = 2059% @ ) @ Take Test: Homework 03 QUESTION 8 The function /() =xv/ 64 —x satisfies the hypotheses of Rolle’s Theorem on the interval [=8. 8], Find all values of ¢ that satisfy the conclusion of the theorem. Oa. £l Ob.1 Oc 42 10 points Save Answer QUESTION 9 Calculate y". A xy +x3}! =x+4y 0a = 1-y*-3x%y 4 +x -4 Ob. , 1-p*-27 4t +x2-4 Oc ,_ -3y 4xy3 +x2 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
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(SR A =1 V IS TTT Y o = 2(059%% @ ) @ Take Test: Homework 03 QUESTION 9 Calculate y". xy“ +x3y =x+ 4}' 0Oa , l—y“-3x2y ,}" = 2 -~ 4 +x’—4 Ob. , 1-3*=2¢ Y =" 5 . dy-+x-—4 Oc ,_ -3y 4xy3+x2 Od. , x’+2x-4 yiax-1) (O e.none of these 10 points QUESTION 10 Determine where the graph of the function f()=2x—+v/49=x% is concave upward and where it is concave downward. Also, find all inflection points of the function. Oa.CUon (-7,7), IP none (O b.CU on (-7, 7), CD on (-0, —7) and (7, ), Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
(SR A ~1 VISV I Y o = 2059% @ ) @ Take Test: Homework 03 QUESTION 10 Determine where the graph of the function f()=2x=+/49=x% is concave upward and where it is concave downward. Also, find all inflection points of the function. (Oa.CUon (-7, 7), IP none (Ob.CU on (-7, 7), CD on (—0, —7) and (7, ®), IP (-7,-14) and (7, 14) (¢ CU on (w0, —7) and (7, %), CD on (-7, 7), IP (-7,-14) and (7, 14) (O d.CD on (-7, 7), IP none 10 points Save Answer QUESTION 11 X +4x+3 Find the slant asymptote of the graph of ./ (x) = -6 using the curve-sketching guidelines. TV Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
(SR A =1 V ISVl Y o ~2(059% @ ) @ Take Test: Homework 03 QUESTION 11 xT+4x+3 Find the slant asymptote of the graph of ./ (x) = -6 using the curve-sketching guidelines. -l - i —— - T L LI 14 12 10 8 -6 -4 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
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9:47PM SunFeb 4 =20 59% @) Oec -14 12 Od. -10 -8 -6 Take Test: Homework 03 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit