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小 發表於 2019-4-27 08:41 PM (第 1798 天)
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2019 DSE M2 Answer (No detailed solution)
1. 0.4
2(a) λ=2
2(b) P'(0) = 145
3(a) correct
3(b) -0.9
4(b) 8pi/3
5(b) 151/10050
6(a)(i) α ≠ -4 or α ≠ -10
6(a)(ii) y = -β/(α+4)
6(b) β ≠ 0
7(a) [e^x(sinπx-πcosπx)]/(1+π^2)
7(b) π(e^3+1)/(1+π^2)
8(a) Yes
8(b)(i) y = x^2 - 7x + 8lnx + 9.
8(b)(ii) (2, 8ln2 - 1)
9(a) y = (4√3 - √3x)/3
9(b)(i) (1, √3)
9(b)(ii) (√3, 1) and (-√3, 1)
9(b)(iii) (4√3 - 2π)/3
10(b) √3π/18
10(d) (9-4√3)π/144
11(a) a = -4 and b = 5
11(c) Exists
12(a) t = 2
12(b) 48i - 36j +48k
12(c) 48
12(d)(ii) 96/41 i - 72/41 j + 96/41 k
12(d)(iii) D, E and O are collinear.