CALC homework 4

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CUNY Kingsborough Community College *

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MATH 1600

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Mathematics

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Apr 3, 2024

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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
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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