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Prove the following by vector method. An...

Prove the following by vector method. An angle inscribed in a semi-circle is a right angle.

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  2. From a differential equation from the equation y=ae^(2x)+be^(-x) by el...

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  3. Prove the following by vector method. An angle inscribed in a semi-cir...

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  4. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  7. passing through the point (-1,3,2) perpendicular to the planes x+2y+...

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  11. Solve the following system of equations by the matrix inversion method...

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  12. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

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  13. If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) =(I-A)[[c...

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  14. If e^(y//x)=(x)/(a+bx) then show that x^(3)(d)/(dx)((dy)/(dx))=(x(dy)/...

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  15. Find the altitude of a right circular cylinder of maximum volume inscr...

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  16. Evaluate intfrac[dx][cosx(1+2sinx)]

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  18. Prove the following by vector method. Altitudes of a triangle are conc...

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