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*Image* ...
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\int_{0}^{1}\frac{\log_{e}(1+x)}{1+x^2} ...
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*Image* please show the solution Ans is 25m/s ...
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A particle moves in a straight line so that its velocity at any point is given by , where are constant. The acceleration is A. Zero B. Uniform C. Non-uniform D. Indeterminate ...
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Prove that : CotA + Cot(60+a) - Cot(60 -a) = 3Cot3A ...
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Prove that: TanA + Tan(60+a) - Tan(60 -a) = 3Tan3A ...
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The angle of elevation of the sun, when the shadow of the pole is sqrt{3} times the height of the pole, is a) {{60}^{o}} b) {{30}^{o}} c) {{45}^{o}} d) {{15}^{o}} ...
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*Image* Pl gv solution ...
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\lim_{x\rightarrow \infty} 100[((x+1)(x+2)...(x+100))^{1/100} - x] ...
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mathop {lim }limits_{n o infty } left[ {frac{1}{n} + frac{1}{{n + 1}} + frac{1}{{n + 2}} + ....... + frac{1}{{3n}}} ight] = a) 0 b) {log _e}4 c) {log _e}3 d) {log _e}2 ...
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The angle of elevation of the sun, when the shadow of the pole is 3 times the height of the pole, is? ...
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Q1: *Image* a)-1 b)loge1 c)1 d)none q2: *Image* a) 1/2 sin3a b) 1/2 cosec2a c)sin3a d)cosec3a q3: *Image* a)1 b)-1 c)0 d)none q4:if 0<x<y then *Image* a)e b)x c)y d)none q5: *Image* a)1 b) sinx/x c) x/sinx d)none ...
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tan-1(tan 7) = a:7-2Î b:2Î -7 c:7 Please give the reason behind the answer. ...
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the positive values of a for which the equation [x+a]=sin(Ï€x/2) will have no solution is,where [.] denotes greatest integer function- a) (0,1); b)(1,2);c) (0,2);d) NOT. ...
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*Image* ...
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1)If sin-1x + tan -1x = , then 2x2 + 1= 2)2 sin -1x = cos-1 (1 -2x2) is true for a. -1<=x<=1 b.-1<=x<=0 c.0<=x<=1 d.None of these 3)7)If sin-1x+sin-1y=2pi/3, cos-1x–cos-1y=pi/3, the number of ordered pairs ...
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*Image* ...
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(A) ∫1/ cos6(x) + sin6(x) (B) ...
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(a) )\int 1/COS^{6}(x)) + SIN^{6}(X)) ...
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lim [(1+x)^(1/x) -e]/x x→0 ...
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(A) ∫dx/ sin11xcosx (B) ∫ cos3x/sin11x please show the steps ...
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If ∫f(x)sinxcosxdx=lnf(x)/(b2 -a2) +c then f(x)=? ...
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Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...
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Integral Of (a) Sec(X)+1 (B) ∫{cos(5x) + cos(4x)}/1-2cos(3X) (C) ∫ {F(x)φ'(x) + F'(x)φ(x)} / (F(x)φ(x)+1) φ(x)f(x) + 1 ...
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ax = by= cz b2 = ac Then express y in the terms of x and z. OPTIONS A) 2xz/x + z B) xz/2(x - z) C) xz/2(z - x) D) 2xz/x - z E) 2xz/z - x F) xz/2(x + z) I tried it many times but could not solve it. Can anybody please help me? ...
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What is the value of tan1tan2tan3...........tan89? ...
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an {{1}^{o}} an {{2}^{o}} an {{3}^{o}} an {{4}^{o}}............ an {{89}^{o}}= a) 1 b) 0 c) infty d) ½ ...
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If f(x) = frac{x}{{x - 1}}, then frac{f(a)}{f(a+1)} a) f(-a) b) fleft( {frac{1}{a}} ight) c) f({a^2}) d) fleft(frac{-a}{a-1} ight) ...
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Consider the parabola x2 = 4y and circle x2 + (y – 5)2 = r2 (r > 0). Given that the circle touches the parabola at the points P and Q. Let R be the point of intersection of tangents to parabola at P and Q and S be the ce ...
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viii) f( x) =((2x-1)/(x-1)) ...
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