Description : Let L denotes the value of a satisfying the equation `log_(sqrt(3))(a) =(10)/(3)` and M denotes the value of b satisfying the equation `4^(log_(9)^(3)
Last Answer : Let L denotes the value of a satisfying the equation `log_(sqrt(3))(a) =(10)/(3)` and M denotes the value of b ... ) = 10 ^(log_(b)^(83)).` Find (L+M)
Description : The value of `((log_(2)9)^(2))^((1)/(log_(2)(log_(2)9)))xx(sqrt(7))^((1)/(log_(4)7))` is .......... .
Last Answer : The value of `((log_(2)9)^(2))^((1)/(log_(2)(log_(2)9)))xx(sqrt(7))^((1)/(log_(4)7))` is .......... .
Description : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_(beta)alpha)))` is greater than 1. Statement-2 : `log_(c)
Last Answer : Statement -I: If `alpha gt beta gt 1`, then `(alpha^(sqrt(log_(alpha)beta)))/(beta^(sqrt(log_( ... . D. Statement -1 is false, statement -2 is ture.
Description : Let `log_(10)2=a` and `log_(10)3=b` determine the following in term of `a` and `b` `(i) log_(4)100+2log_(27)100` `(ii) log_(144)sqrt(45)`
Last Answer : Let `log_(10)2=a` and `log_(10)3=b` determine the following in term of `a` and `b` `(i) log_(4)100+2log_(27)100` `(ii) log_(144)sqrt(45)`
Description : Let `a`, `b`, `c`, `d` are positive integer such that `log_(a)b=3//2` and `log_(c)d=5//4`. If `a-c=9`, then value of `(b-d)` is equal to
Last Answer : Let `a`, `b`, `c`, `d` are positive integer such that `log_(a)b=3//2` and `log_(c)d=5//4`. If `a-c=9` ... ` is equal to A. `20` B. `93` C. `10` D. `1`
Description : Find the value of `(i) (log_(10)5)(log_(10)20)+(log_(10)2)^(2)` `(ii) root3(5^((1)/(log_(7)5))+(1)/((-log_(10)0.1)))` `(iii) log_(0.75)log_(2)sqrtsqrt
Last Answer : Find the value of `(i) (log_(10)5)(log_(10)20)+(log_(10)2)^(2)` `(ii) root3(5^((1)/(log_(7)5))+(1)/(( ... 3)5)+3^(log_(5)7)-5^(log_(3)7)-7^(log_(5)3)`
Description : `int_(1)^(2) (log_(e) x)/(x^(2)) dx`
Last Answer : `int_(1)^(2) (log_(e) x)/(x^(2)) dx`
Description : `int (dx)/(x(1+log_(e)x)(3+log_(e)x))`
Last Answer : `int (dx)/(x(1+log_(e)x)(3+log_(e)x))`
Description : `int(1)/(x cos^(2)(log_(e)x))dx`
Last Answer : `int(1)/(x cos^(2)(log_(e)x))dx`
Description : If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to
Last Answer : If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to A. 2 B. 1 C. 4 D. 6
Description : Complete set of solution of equation `(log_(0.3)(x-2))/(|x|) >= 0`
Last Answer : Complete set of solution of equation `(log_(0.3)(x-2))/(|x|) >= 0` A. `[1,2)uu(2,3]` B. `[1,3]` C. `(2,3]` D. `{1}`
Description : The least positive integer x, which satisfies the inequality `log_(log(x/2)) (x^2-10x+22) > 0` is equal to
Last Answer : The least positive integer x, which satisfies the inequality `log_(log(x/2)) (x^2-10x+22) > 0` is equal to A. `3` B. `4` C. `7` D. `8`
Description : If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is
Last Answer : If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is A. `(-1,1+ ... )` C. `(-1,oo)` D. `(1-2sqrt(2),1+2sqrt(2))`
Description : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` sqrt1/(alpha beta)`equal to `(i) 20 (ii) 3
Last Answer : Let `alpha,beta`, are two real solution of equation `(log_(10)x)^2 + log_(10)x^2 = (log_(10))^2 -1,` then ` ... 1` A. `20` B. `3` C. `10` D. `1`
Description : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` `(iii)log_((x-1)/(x-5))(x-2) gt 0` `(iv) log_(
Last Answer : Solve the following inequalities `(i) |log_(3)x|-log_(3)x-3 lt 0` `(ii)(x-1)/(log_(3)(9-3^(x))-3) le 1` ... gt 0` `(iv) log_(x)(x^(3)-x^(2)-2x) lt 3`
Description : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) log_(3)(x+1)+log_(3)(x+7) ge 3` `(iv)log_(1//
Last Answer : Solve the following inequalities `(i) log_(5)(3x-1) lt 1` `(ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0` `(iii) ... `(iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0`
Description : Solve the following equations `(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)` `(iii) (log_(10)(100x))^(2)+(log_(10)(10
Last Answer : Solve the following equations `(i) (log_(2)(9-2^(x)))/(3-x)=1` `(ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1 ... 1)` `(v)5^(2x)=3^(2x)+2.5^(x)+2.3^(x)`
Description : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`
Last Answer : Solve the following equations : `(i) log_(x)(4x-3)=2` `(ii) log_2)(x-1)+log_(2)(x-3)=3` `(iii) log_(2)(log_(8)(x^(2)-1))=0` `(iv) 4^(log_(2)x)-2x-3=0`
Description : Using differentials, find the approximate value of `sqrt(0. 48)`
Last Answer : Using differentials, find the approximate value of `sqrt(0. 48)`
Description : If `[root(9)((2/3)^5)]^(sqrt(x-5))` = `a^0`, find the value of `x`.
Last Answer : If `[root(9)((2/3)^5)]^(sqrt(x-5))` = `a^0`, find the value of `x`.
Description : Complete set of solution of inequation `sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)gt1` is `(-a,-b)uu(-c,-d)` then find the value of a+b+c+d
Last Answer : Complete set of solution of inequation `sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)gt1` is `(-a,-b)uu(-c,-d)` then find the ... +c+d A. `4` B. `3` C. `2` D. `1`
Description : `int_(-1)^(2) sqrt(5x+6)dx`
Last Answer : `int_(-1)^(2) sqrt(5x+6)dx`
Description : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`
Last Answer : `int_(0)^(pi//6) sqrt(1-sin 2x) dx`
Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Description : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Last Answer : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Description : Let `S={x in R: x ge 0 and 2|(sqrt(x)-3|+sqrt(x)(sqrt(x)-6)+6=0}` then S (1) is an empty set (2) contains exactly one element (3) contains exact;y two
Last Answer : Let `S={x in R: x ge 0 and 2|(sqrt(x)-3|+sqrt(x)(sqrt(x)-6)+6=0}` then S ... four elements C. is an empty set. D. contains exactly one elements
Description : The solution of `sqrt(5-2sinx) ge 6 sinx-1` is
Last Answer : The solution of `sqrt(5-2sinx) ge 6 sinx-1` is A. `[pi(12n-7)//6,pi(12n+7)//6] (n in Z)` B. `[pi(12n-7) ... D. `[pi(12n-7)//3,pi(12n+1)//3] (n in Z)`
Description : `sqrt(-m^(6))`=________________
Last Answer : `sqrt(-m^(6))`=________________
Description : Each side of an equilateral triand 12 is \( 24 cm \) the mid - point of its sides are joined to form another tranpla this brress is doins centinuously infinite46. The perimeter of 7 th triangle is \( ( \) in \( cm ) \)a) \( \ ... of the 5th triangle is (in \( cm \) )a) 6b) \( 1.5 \)c) \( 0.75 \)d) 3
Last Answer : Each side of an equilateral triand 12 is \( 24 cm \) the mid - point of its sides are joined to form another tranpla ... ( 1.5 \) c) \( 0.75 \) d) 3
Description : M = m0 / sqrt(1 - (v/c)^2): will humankind never journey to even the nearest star?
Last Answer : Just warp space and bring your starting and stopping distances closer together. Obviously. ;)
Description : Why does Integral[(e^sqrt(x)) / sqrt(x)] NOT equal e^sqrt(x) + C? Details of how I got there inside...
Last Answer : The derivative of sqrt(x) isn’t 1/sqrt(x), it is .5/sqrt(x), because sqrt(x) can be rewritten as x^.5, and the chain rule applies and makes the derivative .5*x^-.5
Description : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx` A. `-(pi)/(sqrt(2))` B. `(pi)/(2)` C. `-(pi)/(2)` D.
Description : `int_(0)^(pi//4) sqrt(cot x dx) =?`
Last Answer : `int_(0)^(pi//4) sqrt(cot x dx) =?` A. `(Pi sqrt(2))/(4)+(1)/(sqrt(2)) log (sqrt(2)-1)` B. `(- ... (pisqrt(2))/(4) -(1)/(sqrt(2))log (sqrt(2)-1)` D.
Description : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?`
Last Answer : `int_(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?` A. `(pi sqrt(3))/(12)+(1)/(2)` B. `(pisqrt(3))/(12)-(1)/(2)` C. `(pisqrt(3))/(12) -(1)/(2)` D.
Description : `int (1)/(sqrt(sin^(3) x cos x))dx =?`
Last Answer : `int (1)/(sqrt(sin^(3) x cos x))dx =?` A. `-2sqrt(tan x) +c` B. `(2)/(sqrt(tan x)) +c` C. `(-2)/(sqrt(tan x)) +c` D.
Description : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?`
Last Answer : `" if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?` A. `-(5pi)/(4)` B. `(pi)/(4)` C. `-(pi)/(4)` D.
Description : `int_(0)^(1) (x)/(sqrt(1+x^(2)))dx=?`
Last Answer : `int_(0)^(1) (x)/(sqrt(1+x^(2)))dx=?` A. `sqrt(2)-1` B. `sqrt(2)` C. `-sqrt(2)` D.
Description : `int_(0)^(1) sqrt((1-x)/(1+x)) dx=?`
Last Answer : `int_(0)^(1) sqrt((1-x)/(1+x)) dx=?` A. `(pi)/(2)+1` B. `(pi)/(2) -1` C. None of these D.
Description : `int(sin x)/( sqrt(1+cos x))dx=?`
Last Answer : `int(sin x)/( sqrt(1+cos x))dx=?` A. `sqrt(1+cos x) +c` B. `-2sqrt(1+ cos x)+c` C. `2sqrt(1+ cos x) +c` D.
Description : `int_(0)^(1) x sqrt((1-x^(2))/(1+x^(2)))dx`
Last Answer : `int_(0)^(1) x sqrt((1-x^(2))/(1+x^(2)))dx`
Description : `int_(0)^(2) sqrt((2+x)/(2-x)) dx`
Last Answer : `int_(0)^(2) sqrt((2+x)/(2-x)) dx`
Description : `int_(0)^(1//sqrt(2)) (sin^(-1))/((1-x^(2))^(3//2))dx`
Last Answer : `int_(0)^(1//sqrt(2)) (sin^(-1))/((1-x^(2))^(3//2))dx`
Description : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`
Last Answer : `int_(1)^(2) (x)/(sqrt(1+2x^(2)))dx`
Description : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`
Last Answer : `int_(0)^(1) (x sin^(-1)x)/(sqrt(1+2x)^(2))dx`
Description : `int_(0)^(a) (x)/(sqrt(a^(2)-x^(2)))dx`
Last Answer : `int_(0)^(a) (x)/(sqrt(a^(2)-x^(2)))dx`
Description : `int_(a)^(2a) (sqrt((a)/(x))+sqrt((x)/(a)))^(2)dx`
Last Answer : `int_(a)^(2a) (sqrt((a)/(x))+sqrt((x)/(a)))^(2)dx`
Description : `int_0^a(dx)/(sqrt(a x-x^2))`
Last Answer : `int_0^a(dx)/(sqrt(a x-x^2))`
Description : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`
Last Answer : `int_(0)^(pi//2) sqrt(1- cos 2x) dx`