(Section 17.7) Use Stokes' Theorem to find the work done by =< -yz, xz, 2² > in moving a particle once around the boundary of x + 3y + 2z = 6 in the first octant counterclockwise when viewed from above.

Q: 2 consider, Differentiate with respect to x', dy C」.2ス %3D de

A: From the image , two find a differential equation eliminating the constants from the given relation.…

Q: Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable…

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Q: If Rectangle ABCD is dilated about the origin by a scale factor of 2, what would be the coordinates…

A: Given: A rectangle ABCD, dilated about the origin by a scale factor of 2. Original Coordinates of…

Q: What is basically purose or used of stokes and greens thoeom? Exapain it details with application

A: Stroke's theorem is basically the Generalization of green's theorem. Green's theorem is circulation…

Q: Density distribution A right circular cylinder with height 8 cm and radius 2 cm is filled with…

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Q: PART 2 - MOMENT OF INERTIA 1. Determine the radius of gyration of the shaded area with respect to…

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Q: 8 Q.9 Evaluate: Pia(x)dx=

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Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

Q: 1. Region R is bounded by the given curves. (i) Sketch R and label its boundaries. (ii) Indicate the…

A: (i) Region R is the shaded region below

Q: ntegral Calculus - Plane Area 1. Find the area in the first quadrant enclosed by y = (x2 + 4)/x2, x…

A: Topic = Area

Q: lUse linearization to deteimine the stability.of fixed points in the pitchbik bifureation noimal…

A: Pitchfork bifurcation point: A pitchfork bifurcation is a particular type of local bifurcation where…

Q: Let y = sin(2a). If Ax 0.1 at x = 0, use linear approximation to estimate Ay %3D Ay 2 = Find the…

A: In this question, concept of Linear Approximation is used. Linear Approximation The equation of a…

Q: Find the moment of inertia with respect to y-axis the area bounded by x2- 4y + 8 = 0, the lines x =…

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Q: NTEGRATE THE FOLLOWING (use integration techniques) - S sin rsin4rdx

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Q: emx cos nx dx

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Q: Find the equation of the tangent plane to the sphere x² + y? + z² = 1 at the point (1/ V3, 1/V3,…

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Q: dx 1. S, 1+1

A: Here I am attaching image so that you understand each and every step.

Q: Trig-substitution is essentially just a special case of parametric integration. Parametric equations…

A: Given:integral =∫ydxTo Find: rewrite the given integral in terms of t.

Q: 2. dx ( Ans: y –1= Ax²(y+1))

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Q: dy 21+ dr2 (vii) dy\2] & (dy\- da2 \dx². (viii) = 0. (ix) () z\ip, + 5y3 = x. dx.

A: (vii) The equation given is d2ydx2=21+dydx232. Squaring both sides. d2ydx22=41+dydx23 Order = 2…

Q: When body is an equilibrium ,the net force is not vanish

A: In equilibrium, the net force in all directions is zero.

Q: Determine the moment of inertia Iy (in.4) of the shaded area about the y-axis. Given: x = 4 in. y =…

A: From the given figure, We have to find out moment of inertia about y axis X=4 in Y=6 in Z=6 in

Q: dy dx xy*y(1) = 1 3x

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Q: S²+5st19

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Q: Laplace Transformation

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Q: Given the curve y = x' and the line y = 4x in quadrant 1 Find the abscissa of the centroid X of the…

A: We have to find abscissa of centroid of region bounded by the given curve and line.

Q: Linear Differential Equation Directions: Solve the dfferenttal equartion. 2:)4x'y + x"y' - sinex

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Q: Find the area of the paralielogram PQRS if V(PQ) = 3i– 2j and V(PS) = 3j + 4k.

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