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1
answer
1.2k
views
1
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If A = $\begin{bmatrix} \alpha & \alpha \\ \alpha & \alpha \end{bmatrix}$. Prove that $e^A = e^{\alpha} \begin{bmatrix} cosh\alpha&sinh\alpha \\ sinh\alpha&cosh\alpha \end{bmatrix}$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
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1
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1.2k
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If A = $\begin{bmatrix} 5&3 \\ 1&3 \end{bmatrix}$. Find A$^n$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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1.3k
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If A = $\begin{bmatrix} 1&4 \\ 2&3 \end{bmatrix}$. Find A$^{50}$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
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1
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1.6k
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Evaluate $ \int_{0}^{1+i} (x^2+iy) dz$ along the path (i) y = x (ii) y = x$^2$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
2
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1
answer
6.7k
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1
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Integrate the function f(z) = x$^2$ + i xy from A(1 , 1) to B(2 , 4) along the curve x = t , y = t$^2$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
3
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1
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5.8k
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1
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Evaluate $\int \frac{2z+3}{z} dz$ over the curve C
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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5.0k
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1
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Evaluate $\int \frac{z+6}{z^2-4} dz $ over the curve C
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
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1
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1.4k
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1
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Evaluate $\int \frac{z^2-2z+4}{z^2-1} dz $ over the curve C where C is the circle |z-1|=1
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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1.2k
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1
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If f($\xi$) = $\int \frac{3z^2+2z+1}{z-\xi} dz $ over the curve C where C is the circle $x^2+y^2=4$.
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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1.3k
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1
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If $ \phi(\alpha)= \int \frac{ze^z}{z-\alpha} dz $ over the curve C where C is |z-2i| = 3
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
1
vote
1
answer
7.5k
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1
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Obtain Laurent series for $ f(z) = \frac{2z - 3}{z^2 - 4z + 3} $ in powers of z-4 indicating regions of convergence in each case.
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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1.3k
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1
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Obtain Laurent series for $ f(z) = \frac{4z-3}{z^2-z-6} $ at z = 1
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
answer
1.3k
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1
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Evaluate $ \int \frac{z - 1}{z^2 + 2z + 5} $ dz over the curve C
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
answer
1.2k
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1
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Obtain Laurent expansion of f(z) = $\frac{z-1}{z^2-2z-3}$ indicating regions of convergence in each case.
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
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1.3k
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1
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Using Residue theorm evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{5+3sin \theta} $
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
votes
1
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1.1k
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1
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Evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{(2+cos \theta)^2 } $
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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2
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1.8k
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2
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Evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{3 + 2cos \theta} $
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
answer
1.2k
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1
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Evaluate $ \int_{- \infty}^{\infty} \frac{dx}{(x^2+1)^2} $
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
answer
1.2k
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1
answer
Evaluate $ \int_{0}^{\infty} \frac{1}{(x^2+1)(x^2+9)} dx $
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
0
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1
answer
2.6k
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1
answer
Evaluate $ \int_{- \infty}^{\infty} \frac{x^2+x+2}{x^4+10x^2+9} dx $ using Contour Integration.
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
2
votes
1
answer
11k
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1
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Assuming the depth of plate girder restricted to 1500 mm and NO intermediate stiffeners are provided design
design and drawing of steel structures updated 4.3 years ago by krithikkm200 • 10
0
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1
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2.5k
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1
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Provide suitable curtailment of flange plates if necessary. Also design the welded connection between web &flange plate.
design and drawing of steel structures updated 4.3 years ago by krithikkm200 • 10
0
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1
answer
3.6k
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1
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Also design suitable welded connection between web and flange plates
design and drawing of steel structures updated 4.3 years ago by krithikkm200 • 10
0
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1
answer
8.5k
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1
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Also design curtailment of flange plates, end bearing stiffener and connection between flange and web using fillet welds.
design and drawing of steel structures updated 4.3 years ago by krithikkm200 • 10
0
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1
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5.7k
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Design battened system. Draw neat sketches to show details. Use 4.6 grade 20mm dia. bolts for the connections.
design and drawing of steel structures updated 4.3 years ago by krithikkm200 • 10
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