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Question Number 190882 Answers: 1 Comments: 2

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Question Number 194429 Answers: 1 Comments: 0

Given f(x) = { ((x^2 −5x+a ; x>1)),((((3x+2)/(x−b)) ; x≤1)) :} if f(x) passes through at point (2,−4) and lim_(x→1) f(x) exist , find the value of 3a+2b.

$$\:\:\mathrm{Given}\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\begin{cases}{\mathrm{x}^{\mathrm{2}} −\mathrm{5x}+\mathrm{a}\:;\:\mathrm{x}>\mathrm{1}}\\{\frac{\mathrm{3x}+\mathrm{2}}{\mathrm{x}−\mathrm{b}}\:;\:\mathrm{x}\leqslant\mathrm{1}}\end{cases} \\ $$$$\:\:\mathrm{if}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{passes}\:\mathrm{through}\:\mathrm{at}\:\mathrm{point}\: \\ $$$$\:\:\left(\mathrm{2},−\mathrm{4}\right)\:\mathrm{and}\:\underset{{x}\rightarrow\mathrm{1}} {\mathrm{lim}}\:\mathrm{f}\left(\mathrm{x}\right)\:\mathrm{exist}\:,\:\mathrm{find} \\ $$$$\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{3a}+\mathrm{2b}.\: \\ $$

Question Number 190856 Answers: 0 Comments: 0

Give M is any point in ABC triangle Prove that: MA+MB+MC<AC+BC

$${Give}\:{M}\:{is}\:{any}\:{point}\:{in}\:{ABC}\:{triangle} \\ $$$${Prove}\:{that}:\:{MA}+{MB}+{MC}<{AC}+{BC} \\ $$

Question Number 190849 Answers: 0 Comments: 0

are there tow type of quantity in physics like (vector & scalar)? or is any other 3rd ?

$${are}\:{there}\:{tow}\:{type}\:{of}\:{quantity}\:{in}\:{physics} \\ $$$${like}\:\left({vector}\:\&\:{scalar}\right)?\:{or}\:{is}\:{any}\:{other} \\ $$$$\mathrm{3}{rd}\:? \\ $$

Question Number 190848 Answers: 0 Comments: 0

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Question Number 190824 Answers: 0 Comments: 2

lim_(x→(π/4)) ((sec^2 x−2(√(tan x)))/(2cos x−2sin x)) =?

$$\:\:\underset{{x}\rightarrow\frac{\pi}{\mathrm{4}}} {\mathrm{lim}}\:\frac{\mathrm{sec}\:^{\mathrm{2}} \mathrm{x}−\mathrm{2}\sqrt{\mathrm{tan}\:\mathrm{x}}}{\mathrm{2cos}\:\mathrm{x}−\mathrm{2sin}\:\mathrm{x}}\:=? \\ $$

Question Number 190823 Answers: 0 Comments: 0

Question Number 190820 Answers: 1 Comments: 0

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Question Number 190818 Answers: 0 Comments: 5

It is known that the set A={1 , 2, 3, ..., 100} The numbers of subsets of A which when added together are divisible by 4

$$\:\:\mathrm{It}\:\mathrm{is}\:\mathrm{known}\:\mathrm{that}\:\mathrm{the}\:\mathrm{set}\:\mathrm{A}=\left\{\mathrm{1}\:,\:\mathrm{2},\:\mathrm{3},\:...,\:\mathrm{100}\right\} \\ $$$$\:\mathrm{The}\:\mathrm{numbers}\:\mathrm{of}\:\mathrm{subsets}\:\mathrm{of}\:\mathrm{A}\:\mathrm{which}\:\mathrm{when}\: \\ $$$$\:\mathrm{added}\:\mathrm{together}\:\mathrm{are}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{4} \\ $$

Question Number 190814 Answers: 1 Comments: 0

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Question Number 190811 Answers: 1 Comments: 0

If the angle between the vectors c =ai+2j and d=3i+j is 45° , find the two possible values of a

$$\:{If}\:{the}\:{angle}\:{between}\:{the}\:{vectors} \\ $$$$\:{c}\:={ai}+\mathrm{2}{j}\:{and}\:\:{d}=\mathrm{3}{i}+{j}\:{is}\:\mathrm{45}°\:,\:{find} \\ $$$$\:{the}\:{two}\:{possible}\:{values}\:{of}\:{a} \\ $$

Question Number 190809 Answers: 0 Comments: 2

Question Number 190802 Answers: 1 Comments: 0

log_x x=x^(5x−10) x=?

$${log}_{{x}} {x}={x}^{\mathrm{5}{x}−\mathrm{10}} \:\:\:\:\:{x}=? \\ $$

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