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If the tangent to the curve y=x^2+3x at ...

If the tangent to the curve `y=x^2+3x` at P has slope 5, then what are the coordinates of P?

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. What is int5^x.e^(3x) ?

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  2. If abs(X)=m and absY= n, then what is the total number of functions fr...

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  3. If the tangent to the curve y=x^2+3x at P has slope 5, then what are t...

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  4. Fill in the blank choosing correct answer from the brackets cot^(-1)[(...

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  5. What is the symmetric form of the equation of z-axis ?

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  6. If A is a non singular square matrix of order n, then what is abs(adj ...

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  7. Answer any three questions if hat(a), hat(b) and hat(c ) are unit ve...

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  8. If A is a symmetric matrix, then A- A is both symmetric and skew symme...

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  9. If f(x)={(x,0lexle1),(2-x,1lexle2):}, then what is the value of int0^2...

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  10. Solve sin^(-1)x +sin^(-1)(1-x) =(pi)/(2).

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  11. Let f be a real function. Show that h(x) =f(x)=f(-x) is always an even...

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  12. Minimize:Z=6x1+7x2 "Subject to":x1+2x2 ge 4 x1,x2 ge 0

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  13. If r^2 =x^2 +y^2+z^2, "Prove that" "tan"^(-1) (yz)/(xr) ="tan"^(-1) (...

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  14. Find A^-1 if A=[(1,2),(3,5)] by using elementary row operations.

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  15. Evaluate [[1,a,bc],[1,b,ca],[1,c,ab]]-[[1,a,a^2],[1,b,b^2],[1,c,c^2]]

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  16. Define involuntary matrix and show that [(0,1,-1),(4,-3,4),(3,-3,4)] i...

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  17. If [(3,-2),(5,1)][(x),(y)]=[(12),(7)], then find xand y.

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  18. If ABC is a triangle, then prove that abs[[tanA,1,1],[1,tanB,1],[1,1,...

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  19. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y) , then prove that (dy)/(dx)=sqrt...

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  20. If y = e^(m cos^(-1) x) (1-x^2)y2-xy1 = m^2y

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