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What is the trigonometric function f(x) such that `f''(x)+f(x)=0`?

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USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

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  2. What is the value of int0^100[tan^(-1)x]dx ?

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  3. What is the trigonometric function f(x) such that f''(x)+f(x)=0?

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  4. Write whether the following statements are true or false. "sec"^(-1)...

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  5. What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]|?

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  6. What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...

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  7. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

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  8. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

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  9. Find the degree and the order of the differential equation (dy/dx)+1+f...

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  10. Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6

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  11. Let R={(m,n):2 divides m+n} on Z. Show that R is an equivalence relati...

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  12. Find the feasible solution region of x+yle1,2x+3yle6,xge0,yge0.

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  13. Prove statement tan ( 2 "tan"^(-1)1/5-pi/4) + 7/17 =0

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  14. Prove that for any f:X rarr Y , f o idx = f =idY of.

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

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  16. Find B if B^(2)=[{:(17,8),(8,17):}]

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  17. If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos...

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  18. Solve the following : [[x,1,3],[1,x,1],[3,6,3]]=0

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  19. If f(x) = a In x + bx^2 + x has extreme values at x= - 1 and x = 2 the...

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  20. If cos y = x cos(a+y) then prove that dy/dx = (cos^2(a+y))/sin a

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