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Math 2

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paul kapambwe
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47 views5 pages

Math 2

Uploaded by

paul kapambwe
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
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x < 300" satisfying the equation QUESTION! a Find the valves of xen the range O° = ’ oye $ Marks 2eos 2x 00°) + sin (28-00) i 1} b) Given thata + 22-5537 + 4x2, find the values of a, band €. [5 Marks] )_ The first term of an AP is 3. Given that the suum of the first 6 terms Js 48 and that the sum of all the terms is 168, calculate i. the common difference [3 Marks) ii the number of terms in the AP [3 Marks) iii, the fast term [4 Marks] Y QUESTION 2 2) Find the limits = {2 Marks} it. {2 Marks} [2 Marks] 6 ) hfe maniacs seal ome ~ = screws. All the screws have to — Pal slotting machine. A box of wood haielanan mee on the slotung machine and 2 minutes on the Sos Ox of metal screws requires 2 minutes on the slotting ares mene threading machine. In a week, each machine is fates 18.4 profit of £10 per box on wood screw and £17 How many of eaci are ‘h kind are needed to maximise profit. (8 Marks) jar ©) The following complex numbers ae given 7-2rand Z5~6 + di, Zyrde4, Find [2 Marks} i Ata [4 Marks} i, BB Expressing your answer in polar form. VQUESTION 3 : H 1) Find the ratio of the 6" term and to the 8" term in the expansion (2x + 3)! when x= 3. [6 Marks} b) the gradient of the curve y = 2x? + yx? — $ is -2 when x « 1, find the value of p and the value of at that point, [6 Marks} ¢) Suppose a manufacturer of printed circuits has a stock of 200 resistors, 120 transistors and 150 capacitors and is required to produce two types of circuits, Type A requires 20 resistors, 10 transistors and 10 capacitors, ‘maXimise the profit? \ 4a [8 Marks) 6 hm and Stews, *\A) = 4 - tae ¥er VY QUESTIONS Ae lowing from the first principle a) eat lowing ee ; - ; = Sx* 4 Marks ii, fix) 2x? -Sx + 10 L 1 b) fi fall integers that ure divisible by S. )) find the sum of all integ starting from 5 to 1555 inclusive. ee ca ; ¢) Inthe expansion of (1 + px) (1+ gx)! in ascending powers of x, “eterm is - 5 and there is no x” term. ay zat (n- coefficients of the Find the value of g and p. [8 Marks] VY QUESTION 5 4) The first three terms in the expansion of (1 + 2" in the ascending powers of x are 1 +x + 2 Find the values of n and p. [8 Marks} b) find the cube root of 1. [5 Marks} c) Find the values of x in the range 0°

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