The line of action of the 4800-lb force F runs throu the points A and B as shown in the figure. Determi the x and y scalar components of F.

Q: 3. Starting from Cartesian coordinates described in terms of spherical coordi- nates, use the…

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Q: Find the work done by the force field F on a particle moving along the given path. F(x, y) = xi +…

A: Given force is, Fx,y=xi+8yj Path traveled, x=t, y=t3 from (0, 0), (6, 216).

Q: Si : 2 =1- y, S2 : z = x, S3: 2 = 4 – x – y, S4 : y = 0, S, : 2 = 0 cuya represent ación gráfica es:…

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Q: Consider the system i = f(x)+ g(x)u iere sin x2 f = COS x2 g =

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Q: а. W- : x is a scalar |2x + y b. W = : x, y are scalars x + y c. W = +1 : x is a scalar

A: we have to check subspace.

Q: The line of action of the 2690-lb force runs through the points A and B as shown in the figure.…

A: The slope: m of a line that passes through the points: x1, y1 and x2, y2 is calculated using the…

Q: The real and imaginary parts of z=x+iy are Rez=y €R Imz=y €R Rez=x ER Imz=x ER

A: Given complex number is z=x+iy.

Q: T = {y € R : A(y) Invert matrix} Find the set.

A: In this question, we use the property of set and invertible matrix, we need to find the set T.

Q: = (2xy + z³)i+x²3+3xz²k is conservative force field. Find the scalar potential Show that F = of F.

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Q: a(w,u,v) a(xy) of w = xe, u = e*cos y, v = e*sin y at (x,y) = (0,) Find Jacobin matrix %3D

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: The five forces and couple constitute a coplanar force system. Determine the resultant and locate it…

A: On solving the equation, To calculate ∈fx and ∈fy for forces, (support reaction is not to be…

Q: Find the flux of the field F(x.y.z) = z* i+xj- 3z k outward through the surface cut from the…

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Q: Starting from Cartesian coordinates described in terms of spherical coordi- nates, use the Jacobian…

A: We use the Jacobian  deterninant  to prove  thatFor  spherical co ordinates  dV=r2 sinθ  dr dθ dϕ.

Q: 2. Find the directional drevative of f(x, y,z) xsinyz at the point (1,3,0) in the direction of v = i…

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Q: Find curl (3z i + 4x j+ 2y k). curl (3z i + 4x j+ 2y k) = ( Di + ( j +( )k

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Q: A. Given force (F = F1 – F2), transform the force vector F to cylindrical coordinate system at point…

A: The given vectors: F1=25ax-17ay+12azF2=15ax+9ay+6az

Q: The forces F1, F2, . . . , Fn acting at the same point P are said to be in equilibrium if the…

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Q: Use Gauss's Law to find the charge enclosed by the cube with vertices (+/-1, +/-1, +/-1) if the…

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Q: Find curl (8z i + 9x j+ 10y k). curl(8z i + 9x j + 10y k) = ( i )i +(i j + ( %3D i )k

A: solution is given below

Q: Let div F = 2(7 – x) and 0 < a, b, c < 13. (a) Find the flux of F out of the rectangular solid 0 < æ…

A: divF=2(7-x) 0≤a,b,c≤13.

Q: The line of action of the 3450-lb force runs through the points A and B as shown in the figure.…

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Q: Integrate the function f(r,y, z) = Over the entire 3D coordinate system, i.e., all of R'.

A: We have to integrate the function fx, y, z=1x2+y2+z21+x2+y2+z2 over the entire 3D coordinate system,…

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Q: Deternime the equation of the tangent plane to the surface givne by the equation G(u, v) = (u^2 –…

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Q: Use Gauss's Law to find the charge enclosed by the cube with vertices (±4, ±4, ±4) if the electric…

A: Given:

Q: 3. Starting from Cartesian coordinates described in terms of spherical coordi- nates, use the…

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Q: (b) Find the work done by force field F = 3x2 î + y²j on a particle when it moves from (0, 0) to…

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Q: Let C be a triangle with verticies (0, 0), (2,0), and (0, 3) oriented in the counterclockwise…

A: We have to find the outward flux.

Q: Utt – Uzz = 0 0 0 %3D - u(x, 0) = 1, ut(x,0) = 0 0 < x < T u(0, t) = 0, u(7, t) = 0 t2 0.

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Q: Find the Jacobian for a cylindrical system.

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Q: 6ij=I, V i,j from 1 to 3 where I is identity tensor matrix.

A: To determine true or false. δij=I, ∀i, j from 1 to 3 where I is identity tensor matrix

Q: Determina la solución general del sistema de ecuaciones diferenciales. dx = 6x – y, dt %3D dy = 5x +…

A: Given system of equation, dxdt=6x-y,dydt=5x+2y Find the solution of this system.

Q: Starting from Cartesian coordinates described in terms of spherical coordi- nates, use the Jacobian…

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Q: a) Find the values of a,b,c which make f(x,y,z) = sin (xªy°z©) a potential function for the vector…

A: I have solved first part of your query. I request you to repost your query for next part

Q: 2 € C: |Re 2| < 2 < 2

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Q: The line of action of the 3450-lb force runs through the points A and B as shown in the figure.…

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Q: Consider the scalar (potential) function $(x,y,z)=axy" +z Calculate the magnitude of the…

A: Given potential function ϕ(x,y,z)=axyb+z3 .....(1)where a=18 and b=-2

Q: EXERCISE 3 1. Consider f(x, y) = 2x² – y² +3x – y and U is any unit vector in R?. Find the maximum…

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Q: A quadrivector AH has components (1, 1, 1, 0, 1)' in the system S. Calculate the T components of AH…

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Q: we look at the function f : R? → R mit f(x, y) = y sin(2x)determain the tangential plane at point…

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Q: mu = Bu+c as above, where I onvergent. dinate matrix norm || ||.

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Q: Find curl(7z i + 8x j+ 5y k). curl (7z i + &x j+ 5y k) = ( i )i + (i )j + ( )k

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Q: (b) Find the work done by force field F = 3x? î + y²j on a particle when it moves from (0, 0) to…

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Q: Exercise : Find dy O y = 10x+3 Cosx O y =cscx -4VX+7 Cotx 3y =- (3) I+ Cotx

A: To differentiate the following: 1) y=10x + 3 cos x 2) y= cosec x -4x +7 3) y=cot x1+ cot x

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Q: be the countercločkwise path bordering the the trapezoidal region with ve at the points M(0, 2),…

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Q: Pls help ASAP

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Q: Q2: Determincd the component of the vectors at cach point…

A: Given function is f→(x, y) = (2x, y)

Q: Calculate the flux of F across G. F(x, y, z) = - yi + xj; G is the part of the plane z= 20x - 10y –…

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Q: 6ij=I , V i,j from 1 to 3 where I is identity tensor matrix. 0 صواب ihi O

A: Thanks for the question :)And your upvote will be really appreciable ;)

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.