Question and Answers Forum
AllQuestion and Answers: Page 1145
Pg 1140 Pg 1141 Pg 1142 Pg 1143 Pg 1144 Pg 1145 Pg 1146 Pg 1147 Pg 1148 Pg 1149
|
Question and Answers Forum |
|
AllQuestion and Answers: Page 1145 |
|
|
|
|
| ∫(1/(ln(x)))dx |
| ∫e^(sin(x)) dx |
| The equations of two circles S_1 and S_2 are given by S_1 : x^2 + y^2 +2x +2y + 1 = 0 S_2 : x^2 + y^2 −4x + 2y +1 = 0. Show that S_1 and S_2 touch each other externally and obtain the equation of the common tangent T at the point of contact. |
| ∫(((3x^3 −x^2 +2x−4))/(√(x^3 −3x+4)))dx |
|
|
| x⌊x⌊x⌊x⌋⌋⌋=88 x>0 |
| It is given that x^2 =2^x . Find x. |
| lim_(x→0) ((((1+x)^(1/x) )/e))^(1/x) |
| if (1+x)(1+x^2 ).....(1+x^(128) )=Σ_(r=0) ^n x^r then find n |
| find the sum (1/4)+((1×3)/(4×6))+((1×3×5)/(4×6×8)).....=? find ∫((√x)/((√x)+(√(3−x))))dx |
| a\ Let E(x) denote the whole number part of the real number x, determine E(x^x ) and E(x^x^x ) for x∈]0,1[ b\ Calculate lim_(x→0) E(x^x^x ) |
| (4+(√(15)))^x + (4−(√(15)))^x = 62 x=? |
|
|
| Given z = ((xy−4y^2 )/(x^2 +4y^2 )) , x,y≠0 find minimum and maximum value of z |
| find ∫_0 ^∞ ((arctan(2x))/(1+x^2 ))dx |
|
|
|
|
| If : tan(x +iy) = a + bi then find a,b |
| 1010^x +2020^x =4040^x x=? |
| Consider the system in N^3 (S): { ((p^2 +q^2 =r^2 )),((q+p+r=24)),((r<p+q)) :} Show that the triplet (p:q:r) is solution to (S) if and only if r<12. p and q are solutions to the equation; n^2 −(24−r)n+24(12−r)=0 where n is an unknown.p |
|
|
|
|
| Find P(x)=Π_2 (x)×Π_(2α) (x) |
|
|
Pg 1140 Pg 1141 Pg 1142 Pg 1143 Pg 1144 Pg 1145 Pg 1146 Pg 1147 Pg 1148 Pg 1149 |