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UNITED BOOK HOUSE-SET 16-EXERCISE
- Prove that, |[sin A, cosA, sin(A+theta)],[sinB, cosB, sin(B+theta)],[s...
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- If A,B,C be the angles of a triangle, then prove that ,abs((-1,cosC,co...
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- Solve:|[a+x,a-x,a-x],[a-x,a+x,a-x],[a-x,a-x,a+x]|=0
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- If A = |[1,2,-3],[2,3,2],[3,-3,-4]|, find A^(-1)
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- If f(x) = xsqrt (x^2+a^2) +a^2 log(xsqrt(x^2+a^2))then find the value ...
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- If y = a cos(logx) + b sin(log x), show that,x^2(d^2y)/(dx^2)+x(dy)/(d...
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- Integrate:int(2x^2 - 3x+9)/(x^2+4x-5)dx
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- Evaluate: int[(x-l)(x-m)]/[(x-a)(x-b)]dx
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- Solve:(1+x^2)(dy)/(dx) + 2xy = sqrt (x^2+4)
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- Solve: log(dy)/(dx) = 4x - 2y-2: given y = 1, when x = 1.
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- (d) answer any one question : (i) if three vectors vec a, vec b and ve...
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- The position vectors of the points A,B,C and D are 6 hati - 7 hatj, 16...
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- Show that, int0^(pi/2)(sin 2x dx)/(sin^4x + cos^4 x) = pi/2
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- Evaluate: overset(pi/4)underset(0)intlog(1+tan theta)d theta.
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- The probability that three is at least one error in an accounts statem...
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- A normal to the parabola y^2 = 5x makes an angle 45^@ with line x-axis...
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- Show that, the function f(x) = |x-1| is not differentiable at x = 1
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- Prove that the volume of the largest cone that can be inscribed in a s...
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- Find the distance of the point (1,2,3) from the line (x-6)/2 = (y-7)/2...
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- ©answer any one question: (i) find the vector equation of the plane at...
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