Question and Answers Forum
AllQuestion and Answers: Page 116
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Question and Answers Forum |
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AllQuestion and Answers: Page 116 |
| If a , b ∈ R Then: a^2 + b^2 ≥ ab + (√((a^4 + b^4 )/2)) |
| If (a + 1)(b + 1)(c + 1) = 8 Then: a^2 + b^2 + c^2 ≥ 3 |
| If a^3 + b^3 + a^2 + b^2 = 4 Then: a^4 + b^4 ≥ 2 |
| let x, y, z be random numbers from 0 to 10 where x,y,z∈R what is the probability that a) all the following is satisfied ∣x−y∣≥2 ∣x−z∣≥2 ∣y−z∣≥2 b) the probability that one or two of them are not satisfied c) the probability that all of them are not satisfied |
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| If a,b,c>0 and abc=1 Then: (a/b^(2024) ) + (b/c^(2024) ) + (c/a^(2024) ) ≥ a + b + c |
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| let x and y be random numbers from 0 to 10 where x,y∈R ∣x−y∣≥d what is the probability that their sum is less than 10 in the following cases a) d=0 b) d=1 c) d=2 |
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| If ax^2 + bx + c = 0 had two roots p and q and p^2 + q^2 = p^3 + q^3 then show that b^3 − 2a^2 c + ab^2 = 3abc. |
| A man invested U24000.00 in U5.00 shares of a firm. After a period of time, it appreciated to U5.50 per share. How much dividend did he receive, if the dividend declared is 50k per share? |
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| lim_(x→0) ((tan(tanx))/(sin(1−cosx))) |
| ∫((ax+b)/((x^2 −cx+d)^n ))dx |
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| determin a) U_(nεN^∗ ) (1,(1/n)) |
| Compare: 37^(37) and 36^(38) |
| If log_(√((a^2 +b^2 )/2)) ((a+b)/b)≥log_(√(ab)) (2/((1/a)+(1/b))) when a>1 b>1 |
| a^→ =i^ +3j^ +4k^ b^→ =2i^ −3j^ +4k^ c^→ =5i^ −2j^ +4k^ given that p^→ ×b^→ =b^→ ×c^→ and p^→ .b^→ =0 then the value of p^→ (i^ −j^ +k^ )is |
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