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Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statement are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. If both the statements are FALSE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FLASE. If STATEMENT 1 is FALSE and STATEMENT 2 is TURE. Statement 1: Lagrange mean value theorem is not applicable to `f(x)=|x-1|(x-1)` Statement 2: `|x-1|` is not differentiable at `x=1.`

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Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: |a d j(a d j(a d j A))|=|A|^(n-1)^3 , where n is order of matrix Adot Statement 2: |a d jA|=|A|^ndot

Each question has four choices, a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. (a) If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1. (b) If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. (c) If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. (d) If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: inte^xsinx dx=(e^x)/2(sinx-cosx)+c Statement 2: inte^x(f(x)+f^(prime)(x))dx=e^xf(x)+c

Each question has four choices a,b,c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. If both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT 1 If both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. If STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. If STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1 : The area bounded by y=e^x , y=0a n dx=0 is 1 sq. unites. Statement 2 : The area bounded by y=(log)_e x ,x=0,a n dy=0 is 1 sq. units.

Each question has four choices a, b, c and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and STATEMENT 2 is the correct explanation of STATEMENT1. Both the statements are TRUE but STATEMENT 2 is NOT the correct explanation of STATEMENT 1. STATEMENT 1 is TRUE and STATEMENT 2 is FALSE. STATEMENT 1 is FALSE and STATEMENT 2 is TRUE. Statement 1: if A ,B ,C are the angles of a triangles and |[1, 1, 1], [ 1+sin A ,1+sinB, 1+sin C], [ sin A+sin^2A, sin B+sin^2B,sin C+sin^2C]|=0 , then triangle may not be equilateral Statement 2: if any two rows of a determinant are the same, then the value of that determinant is zero.

Each question has four choices a, b, c, and d, out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. Both the statements are TRUE and statement 2 is the correct explanation of Statement 1. Both the statements are TRUE but Statement 2 is NOT the correct explanation of Statement 1. Statement 1 is TRUE and Statement 2 is FALSE. Statement 1 is FALSE and Statement 2 is TRUE. Statement 1: For events Aa n dB of sample space if P(A/B)geqP(A) , then P(B/A)geqP(B)dot Statement 2: P(A/B)=(P(AnnB))/(P(B)) , (P(B)!=0)dot

Each question has four choices a,b,c and d out of which only one is correct. Each question contains Statement 1 and Statement 2. Make your answer as: If both the statements are true and Statement 2 is the correct explanation of statement 1. If both the statements are True but Statement 2 is not the correct explanation of Statement 1. If Statement 1 is True and Statement 2 is False. If Statement 1 is False and Statement 2 is True. Statement 1: tan5^0 is an irrational number Statement 2: tan15^0 is an irrational number.

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. A value of 'c' for which the conclusion of mean value theorem holds fo...

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  2. If a , b > 0 a n d 0 < p < 1, then prove that (a+b)^p < a^p+b^pdot

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  3. Each question has four choices, a,b,c and d, out of which only one is ...

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  4. Let fa n dg be differentiable on R and suppose f(0)=g(0)a n df^(prime)...

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  5. The abscissa of the point on the curve sqrt(x y)=a+x the tangent at wh...

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  6. For 0ltxltpi/ 2, prove that cos(sinx)gtsin(cosx)

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  7. In which of the following functions is Rolles theorem applicable? (a)f...

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  8. Show that x/(1+x)ltlog(1+x)ltxforallxgt0.

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  9. A point on the parabola y^2=18 x at which the ordinate increases at t...

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  10. Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

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  11. Determine the local maxima and local minima of f(x)=(x+1)^2(x-1)^3 is

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  12. Let g(x)=f(logx)+f(2-logx)a n df''(x)<0AAx in (0,3)dot Then find the i...

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  13. Prove that The maximum value of (sqrt(-3+4x-x^2)+4)^2+(x-5)^2(w h e r ...

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  14. Find the points of inflection for (a)f(x)=sinx (b)f(x)=3x^4-4x^3

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  15. Statement 1: If both functions f(t)a n dg(t) are continuous on the clo...

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  16. Discuss monotonocity of y=f(x) which is griven by x=1/(1+t^2) and y=1...

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  17. Statement 1: If 27 a+9b+3c+d=0, then the equation f(x)=4a x^3+3b x^2+2...

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  18. Find the value of a for which the function (a+2)x^3-3a x^2+9a x-1 decr...

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  19. The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y...

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  20. Find the value of a in order that f(x)=sqrt(3)sinx-cosx-2a x+b decreas...

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