Question and Answers Forum
AllQuestion and Answers: Page 577
Pg 572 Pg 573 Pg 574 Pg 575 Pg 576 Pg 577 Pg 578 Pg 579 Pg 580 Pg 581
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Question and Answers Forum |
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AllQuestion and Answers: Page 577 |
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| if a;b;c≥0 and a+b+c=1 prove that 18 Σ ab + 45 Σ a^2 b ≤ 11 |
| Solve for real numbers: (√((x-a)/(x-b))) + (a/x) = (√((x-b)/(x-a))) + (b/x) a;b∈R and a≠b |
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| (x+3(x−2)=x+10 |
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| lim_(x→0) (((tanx)/x))^(1/x^2 ) = ? |
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| Find: 𝛀 = lim_(x→1) ((∫_(x-1) ^(e^x -e) cos(t^5 )dt)/(3^x - 3)) = ? |
| 𝛀 =∫_( 0) ^( 1) (x^(49) /(1 + x + x^2 + x^3 ... x^(100) )) dx = ? |
| if x;y∈R and x^3 +y^3 =16 prove that: x^4 + y^4 + 2x^2 + y^2 ≥ 4x + 36 |
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| How to proof f:X→Y f is 1 to 1 ⇐⇒ f(E)\f(F)=f(E\F) |
| Evaluate the limit and prove by the ε−δ definition that as n→∞ for z≥1 (2(z)^(1/n) − 1)^n → z^2 |
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| the polynomial 4x^3 +ax^2 +bx+9, where a and b consant, is denoted by f(x). when f(x) is divide by (x−2) the remainder is r and when divided by (x−3) the remaider is 6r. its further given that (x+3) is a factor of f(x). Show that b−a=14 and hence find a and b |
| The mean and standard deviation of 20 observation are found to be 10 and 2 respectively .On rechecking it was found that an observation 8 was incorrect.Calculate the incorrect mean and standard deviation (a)If the wrong iterm was ommited (b) If it is replaced by 12 |
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| Find Z^4 =1. Hence show that 1+w+w^2 +w^3 =0 |
Pg 572 Pg 573 Pg 574 Pg 575 Pg 576 Pg 577 Pg 578 Pg 579 Pg 580 Pg 581 |