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1.2k
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Find the volume enclosed by the cylinder $y^2 = x \ and\ y = x^2$ Cut off by the planes z = 0, x + y + z =2
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Evaluate $\int\int\int x^2 \ y \ z \ dx \ dy \ dz$ over the volume bounded by the planes x = 0, y = 0, z = 0 and $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Evaluate$\int^1_0 \int^{1-x}_0 \int^{1-x-y}_0 \frac{1}{(x + y + z +1)^3} dz \ dy \ dx$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Find the area using double integration where the region of integration is bounded by the curves $9xy = 4$ and $2x + y = 2$.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Find the volume of tetrahedron bounded by plane $x = 0, y = 0, z = 0$ and $x + y + z = a.$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Find volume bounded by cone $z^2 = x^2 + y^2$ and paraboloid $z = x^2$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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10k
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Find the volume bounded by the parabolic $x^2+y^2=az$ and the cylinder $x^2+y^2=a^2$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Find the area bounded between the parabola. $x^2-ay \ and \ x^2=-4a(y-2a)$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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978
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Evaluate $\int^1_0 \int^x_{x^2} xy (x + y) dy \ dx$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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3.0k
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Change the order of integration and evaluate
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.2k
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Find by double integration the area bounded by the parabola
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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908
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Change to polar co-ordinates and evaluate. $\int^1_0 \int^x_0 (x + y ) dy \ dx$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.2k
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Evaluate Integral :
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.2k
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Change the order of the integration of
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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980
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Evaluate $\int^1_0 \int^\sqrt{1+x^2}_0 \frac{dxdy}{1 + x^2 + y^2}$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.1k
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Change the order of integration and evaluate
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.1k
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Use polar co-ordinates to evaluate $\int \int \frac{(x^2+y^2)^2}{x^2 \ y^2} dx \ dy$ over the area Common to the circle $x^2 + y^2 = ax$ and $x^2 + y^2 = by, a \gt b \gt 0$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.3k
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Evaluate the :
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.4k
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Change the order of integration $\int^a_0 \int^{x+3a}_{\sqrt{a^2-x^2}} f (x,y) \ dx \ dy$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.1k
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Evaluate $\int_0^{\frac{a}{\sqrt2}} \int_0^{\sqrt{a^2-y^2}} log (x^2 + y^2) dx \ dy$ changing to polar co-ordinates
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.1k
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Change the order of integration and evaluate $ \int^1_0 \int^\sqrt{2-x^2}_x \frac{x}{\sqrt{x^2 + y^2}} dx \ dy$
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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832
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1
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Evaluate $\int^1_0 \int_0^{x^2} e^ \frac{y}{x} dy dx $
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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7.0k
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Change to polar co-ordinates and evaluate $\int_{0}^{2}\int_{0}^{\sqrt{2x-x^2}}\frac{x\,dy\,dx}{\sqrt{x^2+y^2}}$ .
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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1.3k
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By transforming to polar co-ordinates $\iint \frac{(x^2+y^2)}{(x^2+y^2)^{3/2}}dxdy$ evaluate over the region of the circle $x^2+y^2=2ax$ in the first quadrant.
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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Evaluate $\int_{0}^{1}\int_{x^2}^{2-x}xy\,dy\,dx$ by changing the order of integration .
engineering mathematics updated 6.2 years ago by teamques10 ★ 70k
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