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5
votes
1
answer
14k
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1
answer
Using R.K. method of 4th order solve $\dfrac {dy}{dx}=\dfrac {y^2-x^2}{y^2+x^2}$ given $y(0)=1 \space at \space x=0.2 , 0.4$
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
2
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1
answer
1.7k
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1
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Evaluate by using Laplace transformation $\int\limits_{0}^{\infty}e^{-3t}tcostdt$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
2
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1
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4.7k
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1
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Prove that $\int\limits_0^{\dfrac {\pi} 2} \tan^n x dx=\dfrac {\pi}2\sec\Bigg(\dfrac {n\pi}2\Bigg)$
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
8
votes
1
answer
24k
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1
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Jacobians : If $ u = \frac{x+y}{1-xy} , \; v \; = \; tan^{-1}x \; + \; tan^{-1}y , \; Find \frac{\partial (u,v)}{\partial (x,y)} $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
3
votes
1
answer
23k
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1
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Jacobians : If $ x=e^v sec \; u \; , \; y=e^v tan \; u, Find \; J\bigg ( \frac{u,v}{x,y} \bigg) $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
3
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1
answer
13k
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1
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Jacobians : If $ ux=yz , \; vz=yx , \; wz = xy \; , \; find \; J\Big( \frac{ u,v,w }{x,y,z} \Big) $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
12
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1
answer
55k
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1
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Verify Green's theorem for $\oint(3x^2 - 8y^2)dx + (4y - 6xy)dy$ where c is boundary of the region defined by x = 0, y = 0 & x+ y = 1
engineering mathematics updated 14 months ago by vikaskandunoori173 • 30
3
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1
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46k
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1
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In a distribution exactly normal 7% of items are under 35 and 89% of the items are under 63. Find the probability that an item selected at random lies between 45 & 56.
engineering mathematics updated 17 months ago by sagarkolekar ★ 11k
2
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1
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4.1k
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1
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Reflect the triangle ABC about the line 3x - 4y + 8 = 0. The position vector of the coordinate ABC is given as A = (4, 1), B = (5, 2), C = (4, 3).
engineering mathematics updated 2.1 years ago by pedsangini276 • 4.8k
2
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1
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4.8k
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1
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Find the area of ring between two concentric circles whose circumference are 75 cm and 55 cm.
engineering mathematics updated 2.1 years ago by pedsangini276 • 4.8k
2
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1
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31k
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1
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Find the volume common to the cylinder $x^2+y^2=a^2$ and $x^2+z^2=a^2$ .
engineering mathematics updated 2.2 years ago by sagarkolekar ★ 11k
2
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1
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4.6k
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1
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Find the area of the triangle whose vertices are (4,3) (1,4) and (2,3)
engineering mathematics updated 2.1 years ago by pedsangini276 • 4.8k
2
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1
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7.0k
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1
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Find fourier series for $f(x) =\dfrac {3x^2 6\pi x + 2\pi^2}{12}, (0,2\pi) $ Hence deduce that $\dfrac 1{1^2}+\dfrac 1{2^2}+\dfrac 1{3^2} + --- =\dfrac {\pi^2}6$
engineering mathematics updated 23 months ago by sagarkolekar ★ 11k
8
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1
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54k
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1
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If $ u=f(x-y,y-z,z-x) , $ then show that $ \dfrac{\partial u}{\partial x} + \dfrac{\partial u}{\partial y} + \dfrac{\partial u}{\partial z} \;=\; 0 $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
1
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1
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1.7k
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1
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Fit a curve $y=ax+bx_2$ for the data:
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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1.4k
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1
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Determine the constants a,b,c,d if f(z)=x2+2axy+by2+i(dx2+2cky+y2) is analytic.
engineering mathematics updated 3.0 years ago by teamques10 ★ 65k
0
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1
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6.0k
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1
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If $ z=f(x,y)\;, x=e^u+e^{-v} \;, x=e^{-u}-e^{v} $prove that $\dfrac{\partial z}{\partial u} - \dfrac{\partial z}{\partial v}= x\dfrac{\partial z}{\partial x} - y\dfrac{\partial z}{\partial y} $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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1.3k
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1
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If $ \dfrac{x^2}{1+u}+\dfrac{y^2}{2+u}+\dfrac{z^2}{3+u}=1 $ then prove the following
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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1.2k
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1
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If $ u=sin(x^2+y^2)$ and $a^2x^2+b^2y^2=c^2$ , find $\dfrac{\partial u}{\partial z}$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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1.2k
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1
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If $ u \;=\; f \bigg( \dfrac{x-y}{xy} , \dfrac{z-x}{xz} \bigg) $ prove the following
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
votes
1
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38k
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1
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If $u=x^2-y^2 \; , \; v=2xy \; and \; z=f(u,v) $ prove the following
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
5
votes
1
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80k
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1
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Fit a second degree parabolic curve to the following data:
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
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1
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9.6k
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1
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Fit a straight line to the following data and estimate the production in the year 1957:
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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6.9k
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1
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Fit a straight line to the following data with x as independent variable.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
0
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1
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6.2k
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1
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Fit a straight line to the following data: (x,y)=(-1,-5),(1,1),(2,4),(3,7),(4,10). Estimate y when x=7.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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