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Each question contains statements given in two columns which have to be matched. Statements a,b,c,d in column I have to be matched with statements p,q,r,s in column II. If the correct matches are a-p, q-s, b-q, r c-p, q and d-s, then the correctly bubbled `4x4` matrix should be as follows: Figure Column I, Column II: Differential equation order 1, p.of all parabolas whose axis is the x-axis order 2, q.of family of curves `y=a(x+a)^2,` where `a` is an arbitrary constant degree 1, r. `(1+3(dy)/(dx))^(2/3)=(4d^3y)/(dx^3)` degree 3, s. of family of curve `y^2=2c(x+sqrt(c)),` where `c >0`

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Each question in this section contains statements given in two columns which have to be matched. Statements in Column I are labetted as A,B, C, and D where as statements in Column II are labelled (p), (q), (r) and (s).

Each equation contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with Statements (p, q, r, s) in column II. If the correct match are avecp ,avecs ,bvecq ,bvecr , cvecp , cvecq , and dvecs , then the correctly bubbled 4x4 matrix should be as follows: Figure Consider the lines represented by equation (x^2+x y-x)(x-y)=0, forming a triangle. Then match the following: Column I|Column II a. Orthocenter of triangle |p. (1/6,1/2) b.Circumcenter|q. (1(2+2sqrt(2)),1/2) c.Centroid|r. (0,1/2) d.Incenter|s. (1/2,1/2)

Each question contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with statements (p,q,r,s) in column II. If the correct match are a-p, s, b-r c-p, q. and d-s, then the correctly bubbled 4x4 matrix should be as follows: figure Column I, a) If int(2^x)/(sqrt(1-4^x))dx=ksin^(-1)(f(x))+C , then k is greater than, b) If int((sqrt(x))^5)/((sqrt(x))^7+x^6)dx=aln(x^k)/(x^k+1)+c , then a k is less than, c) If int(x^4+1)/(x(x^2+1)^2)dx=kln|x|+m/(1+x^2)+n , where n is the constant of integration, then m k is greater than, d) If int(dx)/(5+4cosx)=ktan^(-1)(mt a n x/2)+C , then k//m is greater than, COLUMN II p) 0 q) 1 r) 3 s)4

Match column I with column II

Match column I with column II

Match column I with column II

Match column I with column II

Match column I with column II

Match column I with column II

Match column I with column II

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (-2)/(1+x^2) for all ...

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  3. Each question contains statements given in two columns which have to...

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  4. Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...

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  5. If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...

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  6. Statement 1: If differentiable function f(x) satisfies the relation f(...

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  7. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

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  8. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...

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  9. find dy/dx ,(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

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  10. If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a)(n y)/(sqrt(x^2+a^2...

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  11. If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt...

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  12. d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a)1/2sqrt(1+s e cx) (b) sq...

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  13. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

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  14. If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)...

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  15. If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is eq...

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  16. If y=asinx+bcosx , then y^2+((dy)/(dx))^2 is a (a)function of x (...

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  17. If y=(log)(sinx)(tanx),t h e n(((dy)/(dx)))(pi/4)"is equal to" (a)4...

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  18. If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)(dy)/(dx) is equal to (a)...

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  19. If (lim)(xvec0)(a e^x+bcos x+c e^(-x))/(e^(2x)-2e^x+1)=4,t h e n a.a=...

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  20. If underset(xrarroo)(lim)xlog(e)(|(alpha//x,1,gamma),(0,1//x,beta),(1,...

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