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*Image* ...
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Two curves C1 : y = x2 - 3 and C2 : y = kx2, k ε R intersect each other at two different points. The tangent drawn to C2 at one of the points of intersection A(a,y1), (a>0) meets C1 again at B (1, y2) (y1 ≠y2). The valu ...
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\hspace{-16}$Calculate total no. of real solution in $\bf{e ^x = x^n}$\\\\ where $\bf{n\in \mathbb{N}}$ ...
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\hspace{-16}$Calculate total no. of real solution in each case\\\\\\ $\bf{(1)\;\;2^x = 1+x^2}$\\\\\\ $\bf{(2)\;\; 2^x+3^x+4^x = x^2}$\\\\\\ $\bf{(3)\;\; 3^x+4^x+5^x = 1+x^2}$ ...
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A capacitor of capacitance Ct = 1.0 F withstands the maximum voltage Va----6.0 kV while a capacitor of capacitance C2 = 2.0 F, the maximum voltage V----4.0 kV. What voltage will the system of these two capacitors withstand ...
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Find the summation s=x+x2+x4+x8.......till infinity ...
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Q1. \int_{0}^{\pi /2}{ln(a^2cos^2\theta +b^2sin^2\theta )d\theta } Q2. \int_{0}^{\infty }{\frac{ln(1+a^2x^2)}{1+b^2x^2}dx } Q3. If lxl < 1 then find the sum of the series \frac{1}{1+x}+\frac{2x}{1+x^2}+\frac{4x^3}{1+x^4}+\ ...
