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Wireless Technology Question Paper - Dec 17 - Information Technology (Semester 7) - Mumbai University (MU)
updated 7.5 years ago by yashbeer ★ 11k
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Wireless Technology Question Paper - May 17 - Information Technology (Semester 7) - Mumbai University (MU)
updated 7.5 years ago by yashbeer ★ 11k
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what are green buildings? What are the advantages of green structure?
environmental studies updated 7.5 years ago by teamques10 ★ 70k
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Explain the concept of carbon credit?
environmental studies updated 7.5 years ago by teamques10 ★ 70k
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6]c) Find the maxima and minima of $x^3 y^2 (1-x-y)$
updated 7.5 years ago by teamques10 ★ 70k
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6] b) If $u =sin^{-1} (\frac{x^{\frac{1}{3}}+ y^{\frac{1}{3}}}{x^{\frac{1}{2}} - y^{\frac{1}{2}}})^{\frac{1}{2}}$ , Prove that
updated 7.5 years ago by teamques10 ★ 70k
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6] a) Using DE Moivre's theorem prove that $cos^6 \theta - sin^6 \theta = \frac{1}{16} (cos6\theta + 15 cos2\theta)$
updated 7.5 years ago by teamques10 ★ 70k
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5] c)ii) show that $ilog(\frac{x-i}{x+i}) = \pi - 2tan^{-1}x$
updated 7.5 years ago by teamques10 ★ 70k
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5]c) i) Considering only principal values separate into real and imaginary parts $i^{log(i+1)}$.
updated 7.5 years ago by teamques10 ★ 70k
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a) If y = $(x + (x)^{\frac{1}{2}}-1)^m , Prove that (x^2-1)y_(n+2)+ (2n+1)xy_(n+1) + (n^2-m^2)y_n= 0$
updated 7.5 years ago by teamques10 ★ 70k
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4] c) Find the roots of the equation $x^4+x^3-7x^2-x+5=0$ which lies between 2 and 2.1 correct to 3 places of decimals using Regula Falsi method.
updated 7.5 years ago by teamques10 ★ 70k
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4] b) If tan($\theta$+i$\omega$) = tan$\alpha$ + isec$\alpha$ Prove that
engineering mathematics updated 7.5 years ago by teamques10 ★ 70k
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4] a) If x = u+v+w, y = uv+vw+uw, z = uvw and $\omega$ is a function of x,y and z. Prove that
engineering mathematics updated 7.5 years ago by teamques10 ★ 70k
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c) ii) Expand $2x^3+7x^2+x-6$ in powers of (x-2)
updated 7.5 years ago by teamques10 ★ 70k
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c) i) Show that $sin(e^x-1) = x^1 +\frac{x^2}{2} - \frac{(5x^4)}{24} + ......$
updated 7.5 years ago by teamques10 ★ 70k
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3]b) If u = $x^2+y^2+z^2where x= e^t , y= e^t sint , z= e^t$ cost Prove that $du/dt=4e^{2t}$
updated 7.5 years ago by teamques10 ★ 70k
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3] a) Investigate for what values of $\mu$ and $\pi$ the equations x+ y+ z = 6, x + 2y + 3z = 10, x + 2y + $\pi$z = $\mu$ has
updated 7.5 years ago by teamques10 ★ 70k
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2] c) Solve the following equation by Gauss-Seidel method up to four iterations 4x-2y-z = 40, x-6y+2y = -28, x-2y+12z = -86.
updated 7.5 years ago by teamques10 ★ 70k
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Q2] b) Reduce the following matrix to its normal form and hence find its rank.
updated 7.5 years ago by teamques10 ★ 70k
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2]a) Show that the roots of $x^5=1$ can be written as 1,($\alpha$)^1,($\alpha$)^2,($\alpha$)^3,($\alpha$)^4 .
updated 7.5 years ago by teamques10 ★ 70k
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1] f) Evaluate $(\lim)_{x->0}\frac{e^{2x} - (1+x)^2}{xlog(1+x)}$
updated 7.5 years ago by teamques10 ★ 70k
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1]e) Express the matrix as the sum of symmetric and skew symmetric matrices.
engineering mathematics updated 7.5 years ago by teamques10 ★ 70k
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1d) If y = $2^x$ $(sin)^2$ xcosx find $y_n$.
updated 7.5 years ago by teamques10 ★ 70k
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1c) If x=uv , y =$\frac{(u+v)}{(u-v)}$. find $\frac{\partial(u,v)}{\partial(x,y)}$.
engineering mathematics updated 7.5 years ago by teamques10 ★ 70k
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1b) If Z = log($e^x+ e^y$) show that rt-$s^2$=0 where r =$\frac{(\partial^2Z)}{((\partial)x^2)}$ ,t =$\frac{((\partial)^2 Z)}{((\partial)y^2)} s= $\frac{((\partial)^2 Z)}{((\partial)x (\partial)y)}$
updated 7.5 years ago by teamques10 ★ 70k
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