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(1) Use the Fouriers method to formally solve the initial-boundary value problem a(0,t) = u(1, t), ux(0,t) = uz(1, t) a(x, 0) = x(1-x) t 20 t 20 0 x 1.
11 and 13 I am having huge trouble with.
11 is a triangle inside a triangle. Smaller one being 50° larger being 35° and the base of 35° is 10m. Joanne has to replace the two supporting guy wires for a hydro pole. She measures the distance between the base of the wires to be 10m, and their angle of inclination to be 50° and 35°. Determine the total length of the guy wire that needs to be replaced. Determine the height of the pole.
Question 13 is: From his nest, Mr. Robin flies east for 80m then south for 60m and then straight up into the sky for 30m. At this point how far is Mr. Robin from his nest? And at what angle of elevation viewed from their nest does Mrs. Robin see Mr. Robin?
I'm not sure how answers are marked in A level Mathematics exams (if it counts, I'm sitting for the CIE board) but when I am doing practice questions based on a book, sometimes my answer may differ by a few hundredths or tenths (usually the third significant figure). When this happens, I usually assume that my calculation is correct and that the difference simply happens because of a choice I use to use or not use the correct form, not the one rounded off to 3 s.f. Would my marks be affected by these differences in an exam and if they do, when do I know whether I should use the rounded off figure or the exact form?
For instance in the work I've recently done, the question comes in 2 parts, the first is that I need to find the area of the sector and the second is the area of the chord of said sector. What I did was subtract the area of triangle from my previous answer but my answer was off by 2 hundredth. I did the calculation again using the correct form of the sector, not the one rounded to 3 s.f. and got the answer written in the answer booklet.
Would my answer be considered correct?