CALC homework 4
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CUNY Kingsborough Community College *
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MATH 1600
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Mathematics
Date
Apr 3, 2024
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17
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CH VLYV I (VTR ST ) @ Take Test: Homework 04 ¥ Question Completion Status: QUESTION 1 Evaluate the indefinite integral. 3+4 | —= 7+ 3x + 2x- Oa_JTimrad+c Ob T ma + c Oc2f1+ax+52 +¢C Od-sy7+3x+2n?+cC Oeaf7+3x+2n2+C 10 points Save Answer QUESTION 2 Find the most general antiderivative of the function. f)=15x2—14x+8 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:06 PM Tue Feb 13 @ Take Test: Homework 04 Estimate the value of v 13 by using three iterations of Newton’s method to solve the equation x2 - 13 = 0 with initial estimate xg = 3. Round your final estimate to four decimal places. (O a.3.4384 (0b.2.2039 ()¢ 23513 (0 d.3.6056 10 points Save Answer QUESTION 4 A rectangular beam will be cut from a cylindrical log of radius » =30 inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log. f— width—] Oa./3 in, 60 in M h AN [~ Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:06 PM Tue Feb 13 @ Take Test: Homework 04 A rectangular beam will be cut from a cylindrical log of radius » =30 inches. Suppose that the strength of a rectangular beam is proportional to the product of its width and the square of its depth. Find the dimensions of the strongest beam that can be cut from the cylindrical log. b— width—] 10 points Save Answer QUESTION 5 A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an ennilateral trianole How chanld the wire he et for the canare en that the tatal area encloced ic a minimum? 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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5:06 PM Tue Feb 13 @ Take Test: Homework 04 A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle. How should the wire be cut for the square so that the total area enclosed is a minimum? Round your answer to the nearest hundredth. (Da.435m (0b.835m Ocom (0d.735m (De.635m 10 points ~ Save Answer QUESTION 6 Evaluate the integral. f-“ x2+6 e 1 Vx Da.394 (Ob.244 (N AA A Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:06 PM Tue Feb 13 @ Take Test: Homework 04 Evaluate the integral. jl‘-" xX+6 & Jx 10 points Save Answer QUESTION 7 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:06 PM Tue Feb 13 @ Take Test: Homework 04 Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. J_ zc h(x)= XI41 z 4+ Oa. 11{x 41 Ob. Jx2+1 11 Oc 11Jx 2x2+1) (O e.none of these 10 points Save Answer QUESTION 8 Evaluate the integral. szinxcos(cosx)aS: M a —5coslsiny]l + C 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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5:06 PM Tue Feb 13 @ Take Test: Homework 04 QUESTION 8 Evaluate the integral. szinxcos(cosx)dx (O a. =5cos(sinx) + C O b. sin(cosx) N C 5 O c. 3sinlcosx) + C (O d.—=3sin(cosx) + C (O e.None of these 10 points Save Answer QUESTION 9 Find the indefinite integral. fsi1'12xdx sinx (O a.2cosx + C Ob.ox+C Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:06 PM Tue Feb 13 @ Take Test: Homework 04 QUESTION 9 Find the indefinite integral. fsiz'x?_xdx sinx (O a.2cosx + C Ob.oy+C Oc cosx+C O d.2sinx + C 10 points Save Answer QUESTION 10 Estimate the area from 0 to 5 under the graph of /() =25=x% ysing five approximating rectangles and right endpoints. Oa 170 Ob.60 Oc 270 Od.65 Oe.70 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
SO =1V B VTN =Y o R K @ Take Test: Homework 04 QUESTION 11 1 A production editor decided that a promotional flyer should have a 1-in. margin at the top and the bottom, and a B 2 -in. margin on each side. The editor further stipulated that the flyer should have an area of 32 in.“. Determine the dimensions of the flyer that will result in the maximum printed area on the flyer. —in~~ |* tlln. O a.4\/5 in. X 4\/5 in. Ob.2y2 in. x 2V/2 in, (D¢ 2in. x 16 in. (O d.4in. x 8 in. 10 points Save Answer QUESTION 12 Evaluate the integral by interpreting it in terms of areas. 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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SO =1V B (VTN =Y o @ Take Test: Homework 04 WYVLITIWVIN 14 Evaluate the integral by interpreting it in terms of areas. 10 points ~ Save Answer QUESTION 13 Use Newton's method to find all solutions of the equation correct to six decimal places. S5(x+ =x2-2x O a.x=-0.799572, 4.579117 (O b.x=—0.887685, 3.856974 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
SO =1V B VTN =Y o R K @ Take Test: Homework 04 QUESTION 13 Use Newton's method to find all solutions of the equation correct to six decimal places. SUx+1=x2-2x O a.x=—0.799572, 4.579117 O b.x = —0.887685, 3.856974 O c. x =0.000000, 2.000000 O d.x = —1.000000 (O e.x=—0.345089, 2.710644 10 points Save Answer QUESTION 14 Find the dimensions of the rectangle enclosed in the semicircle ' = V196 -x with the largest possible area. Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
SO =1V B VTN =Y o R K @ Take Test: Homework 04 Find the dimensions of the rectangle enclosed in the semicircle ' = V196-x 2 with the largest possible area. (Da.7in. x 7 in. Ob- 7\/5 in. x 7\/5 in. (O c 6in. x 8 in. Od. 14fi in. x 7\/5 in. 10 points Save Answer QUESTION 15 Find f. ()= 12x+24x2 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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SO =1V B VTN =Y o K @ Take Test: Homework 04 Find f. £ ()= 12x +24x2 Oa. fx)=2+x*+Cx+D Ob. fx)=6x"+4x*+Cx+D Oc fex)=4+8*+Cx+D Od. fx)=2+2x*+Cx+D Oe. fx)=x>+4x*+Cx+D 10 points Save Answer QUESTION 16 Find f. f'(t)=2t-3sint, f(0)=35 Oa. f()=1—3cost—5 Ob. f(©)=1>+3cost +2 O c. f(t)=2t—3sint+5 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
SO =1V B VTN =Y o R K @ Take Test: Homework 04 10 points Save Answer QUESTION 16 Find f. f'(t)=2t-3sint, f(0)=35 Oa. f(t)=1—3cost—5 Ob. f(©)=1>+3cost +2 Oc. f@)=2t—3sint+5 O d. () =1*+3cost (O e.None of these 10 points Save Answer QUESTION 17 Evaluate the integral. 15 . fo (6+6y-32)ay Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
SO =1V B VTN =Y o R K @ Take Test: Homework 04 N/ TTINULIL UL uIuLdL 10 points Save Answer QUESTION 17 Evaluate the integral. 15 . [ lo+er-as O a.-360 (O b.-340 Oc-320 (Od.-380 (Oe.—330 10 points Save Answer QUESTION 18 Estimate the value of Y by using three iterations of Newton’s method to solve the equation X3 - 11 = 0 with initial estimate xQ = 2. Round your final estimate to four decimal places. 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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5:08PM Tue Feb 13 @ Take Test: Homework 04 QUESTION 18 Estimate the value of Iy by using three iterations of Newton’s method to solve the equation X3 - 11 = 0 with initial estimate xQ = 2. Round your final estimate to four decimal places. Oa 33934 (Ob.33166 O 2.2297 (0 d.2.2240 10 points Save Answer QUESTION 19 Evaluate the integral by making the given substitution. fxz\/x3 +S5dc.u = v +5 Ob%(fi +s5)24+ ¢ Oc %(xs + 5P Od- 23,524 ¢ Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit
5:08PM Tue Feb 13 @ Take Test: Homework 04 Oc 2(3 4 5P 10 points Save Answer QUESTION 20 6 4 6 it [ £6) =14 ana [ ) =4, fing f4 F) k. Oa 14 Ob.4 Oc-14 Od.18 Oe.10 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Save and Submit