Vector Calculus – Page 3

find-S-F-n-ds-where-F-y-2-i-yj-xzk-and-S-is-the-upper-half-of-the-sphere-x-2-y-2-z-2-a-2-

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 128691 by BHOOPENDRA last updated on 09/Jan/21 $f i n d \int \int_{S} ▽ \times F . \hat{n d s}$ $w h e r e F^{\to} = y^{2} \hat{i} + y \hat{j} - x z \hat{k}$ $a n d S i s t h e u p p e r h a l f o f t h e s p h e r e$ $${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +{z}^{\mathrm{2}}…

find-the-flux-of-the-vector-field-F-xi-yj-x-2-y-2-1-k-through-outer-side-of-hyper-boloide-z-x-2-y-2-1-bounded-by-the-planes-z-0-and-z-3-

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Question Number 128688 by BHOOPENDRA last updated on 09/Jan/21 $f i n d t h e f l u x o f t h e v e c t o r f i e l d$ $F = x \hat{i} + y \hat{j} + \sqrt{x^{2} + y^{2} - 1 \hat{k}}$ $t h r o u g h o u t e r s i d e o f h y p e r - b o l o i d e$ $z = \sqrt{x^{2} + y^{2} - 1}$ $${bounded}\:{by}\:{the}\:{planes}\:…

V-F-dV-where-F-x-2y-i-3zj-xk-and-V-is-the-closed-region-in-first-octant-by-the-plane-2x-2y-2z-4-

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 128592 by BHOOPENDRA last updated on 09/Jan/21 $\int \int \int_{V} ▽ \times F d V w h e r e F = (x + 2 y) \hat{i} - 3 z \hat{j}$ $+ x \hat{k}$ $a n d V i s t h e c l o s e d r e g i o n i n f i r s t o c t a n t$ $b y t h e p l a n e 2 x + 2 y + 2 z = 4$ Answered…

verify-the-gauss-divergence-theorem-f-x-2-yz-i-y-2-zx-j-z-2-xy-k-over-the-region-R-bounded-by-the-parallelepiped-0-x-a-0-y-b-0-z-c-

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 128591 by BHOOPENDRA last updated on 09/Jan/21 $v e r i f y t h e g a u s s d i v e r g e n c e t h e o r e m$ $f = (x^{2} - y z) \hat{i} + (y^{2} - z x) \hat{j} + (z^{2} - x y) \hat{k}$ $o v e r t h e r e g i o n R b o u n d e d b y t h e$ $${parallelepiped}\:\mathrm{0}\leqslant{x}\leqslant{a},\mathrm{0}\leqslant{y}\leqslant{b}, \…

Question-128282

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Question Number 128282 by BHOOPENDRA last updated on 06/Jan/21 Answered by mr W last updated on 06/Jan/21 $e l l i p s e \frac{x^{2}}{2^{2}} + \frac{y^{2}}{3^{2}} = 1$ $${or} \…

Question-128234

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Question Number 128234 by BHOOPENDRA last updated on 05/Jan/21 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question-62517

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 62517 by Tawa1 last updated on 22/Jun/19 Commented by $@ t y @ m l a s t u p d a t e d o n 22 / J u n / 19$ $w h a t i s m e a n t b y B C = (\begin{matrix} 3 \\ 1 \end{matrix})$ $$ p l . c l a r i f y t h i s n o t a t i o n .$ Commented by Prithwish sen…

Calculate-using-cartesian-coodinates-the-following-integrals-1-D-dxdy-being-D-x-y-R-2-0-x-1-2-y-x-1-y-0-2-D-x-3-ydxdy-being-D-x-y-R-2-0-x-1-2-y-x-1-y-0-3-D-x-y-dxdy-

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 61258 by cesar.marval.larez@gmail.com last updated on 31/May/19 $C a l c u l a t e, u s i n g c a r t e s i a n c o o d i n a t e s, t h e f o l l o w i n g$ $i n t e g r a l s :$ $1) \int \int_{D} d x d y b e i n g D = {(x, y) \in R^{2} / 0 ⩽ x ⩽ \frac{1}{2}, y + x ⩽ 1, y ⩾ 0}$ $2) \int \int_{D} x^{3} y d x d y b e i n g D = {(x, y) \in R^{2} / 0 ⩽ x ⩽ \frac{1}{2}, y + x ⩽ 1, y ⩾ 0}$ $$\left.\mathrm{3}\right)\:\int\int_{{D}}…

Question-126646

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 126646 by sdfg last updated on 22/Dec/20 Commented by sdfg last updated on 22/Dec/20 $p l e a s e h e l p$ Answered by physicstutes last updated on…

Question-126572

Tinku Tara June 4, 2023 Vector Calculus 0 Comments

Question Number 126572 by sdfg last updated on 22/Dec/20 Answered by liberty last updated on 22/Dec/20 $$\:\mid\overset{\rightarrow} {{a}}+\overset{\rightarrow} {{b}}\mid^{\mathrm{2}} =\:\mid\overset{\rightarrow} {{a}}\mid^{\mathrm{2}} +\mid\overset{\rightarrow} {{b}}\mid^{\mathrm{2}} +\mathrm{2}\mid\overset{\rightarrow} {{a}}\mid\mid\overset{\rightarrow}…

Category: Vector Calculus