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Question Number 72835 Answers: 1 Comments: 0

In an arithmetic progression the ninth term is greater than the second term and the sum of the first term with the fifth term is 20. What is the fifth term?

$${In}\:{an}\:{arithmetic}\:{progression}\:{the} \\ $$$${ninth}\:{term}\:{is}\:{greater}\:{than}\:{the}\:{second} \\ $$$${term}\:{and}\:{the}\:{sum}\:{of}\:{the}\:{first}\:{term} \\ $$$${with}\:{the}\:{fifth}\:{term}\:{is}\:\mathrm{20}.\:{What}\:{is} \\ $$$${the}\:{fifth}\:{term}? \\ $$

Question Number 72832 Answers: 1 Comments: 1

In a parallelogram OABC, OA^⇁ =a^(−⇁) , OC^→ =c^→ , D is a point such that AD^→ :DB^→ =1:2 Express the following in terms of a and c (i)CB^→ (ii)BC^→ (iii)AB^→ (iv) AD^→ (v)OD^→ (vi)DC^→

Question Number 72824 Answers: 1 Comments: 0

fnd all integers n for which 13∣ 4(n^2 + 1)

$${fnd}\:{all}\:{integers}\:{n}\:{for}\:{which}\: \\ $$$$\:\mathrm{13}\mid\:\mathrm{4}\left({n}^{\mathrm{2}} \:+\:\mathrm{1}\right) \\ $$

Question Number 72823 Answers: 1 Comments: 0

What is derivative for this function a×b^(x−1) ×c^((1/2)(x−1)(x−2)) ×d^((1/6)(x−1)(x−2)(x−3))

$$\mathrm{What}\:\mathrm{is}\:\mathrm{derivative}\:\mathrm{for}\:\mathrm{this}\:\mathrm{function} \\ $$$$\: \\ $$$${a}×{b}^{{x}−\mathrm{1}} ×{c}^{\frac{\mathrm{1}}{\mathrm{2}}\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)} ×{d}^{\frac{\mathrm{1}}{\mathrm{6}}\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)\left({x}−\mathrm{3}\right)} \\ $$

Question Number 72934 Answers: 1 Comments: 0

Question Number 72813 Answers: 0 Comments: 3

Find the area of the region enclosed by the line 5y=x+6 and the curve y=(√(∣x∣)) .

$${Find}\:{the}\:{area}\:{of}\:{the}\:{region}\:{enclosed} \\ $$$${by}\:{the}\:{line}\:\mathrm{5}{y}={x}+\mathrm{6}\:{and}\:{the}\:{curve} \\ $$$${y}=\sqrt{\mid{x}\mid}\:. \\ $$

Question Number 72806 Answers: 1 Comments: 2

show that lim_( x→0) [ x] does not exist. Hence define [x] and sketch a graph for y = 3x^2 + [x]

$$\underset{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{x}\rightarrow\mathrm{0}} {\:{show}\:{that}\:\:\mathrm{lim}}\:\left[\:{x}\right]\:\:{does}\:{not}\:{exist}. \\ $$$${Hence}\:{define}\:\:\left[{x}\right]\:\:{and}\:{sketch}\:{a}\:{graph}\:{for}\: \\ $$$$\:{y}\:=\:\mathrm{3}{x}^{\mathrm{2}} \:+\:\left[{x}\right] \\ $$

Question Number 72805 Answers: 0 Comments: 0

PARTIAL VARIATION The success rate of government variws inversly as the number of corrupt mi nded individual and varies directly as the number of clean minded individal .if the goverment attain 95% success rate when there are two corrupt minded and 75% success rate when there are 5 corrupt minded and 20 clean minded individual. How many corrupr minded individual must be in administration with one clean minded individual to attain 99% success rate?

$${PARTIAL}\:{VARIATION} \\ $$$${The}\:{success}\:{rate}\:{of}\:{government}\:{variws}\: \\ $$$${inversly}\:{as}\:{the}\:{number}\:{of}\:{corrupt}\:{mi} \\ $$$${nded}\:{individual}\:{and}\:{varies}\:{directly} \\ $$$${as}\:{the}\:{number}\:{of}\:{clean}\:{minded}\:{individal} \\ $$$$.{if}\:\:{the}\:{goverment}\:{attain}\:\mathrm{95\%}\:{success} \\ $$$${rate}\:{when}\:{there}\:{are}\:{two}\:{corrupt}\:{minded} \\ $$$${and}\:\mathrm{75\%}\:{success}\:{rate}\:{when}\:{there}\:{are} \\ $$$$\mathrm{5}\:{corrupt}\:{minded}\:{and}\:\mathrm{20}\:{clean}\:{minded} \\ $$$${individual}.\:{How}\:{many}\:{corrupr}\:{minded} \\ $$$${individual}\:{must}\:{be}\:{in}\:{administration}\: \\ $$$${with}\:{one}\:{clean}\:{minded}\:{individual}\:{to}\: \\ $$$${attain}\:\mathrm{99\%}\:{success}\:{rate}? \\ $$

Question Number 72803 Answers: 2 Comments: 1