OFind tne hydrostatic force of the plate shown below. (no need to 'ewaluate Ahis integral, just set it up t rumptify) om -

Q: Help step for step! Not sure how the answer is coming out.

A:

Q: A plate in the form Ot an isoceles triangle uith base' 10 tt ancl altitude 4 ft iS submerged…

A: The answer is given below:

Q: Q.14 The integral of the vector A(p, p, z) = "coso ô (standard notation for cylindrical coordinates…

A:

Q: Average circulation Let S be a small circular disk of radius Rcentered at the point P with a unit…

A:

Q: A milk truck carries milk with density 64.6 lb/ft3 in a horizontal cylindrical tank with diameter 6…

A: We need to find force on a horizontal slice of plate and then integrate it to find force on entire…

Q: Evaluate the integral I = f-di around the circle x² + y² + 2x = 0 where . = yi-zj. (Take the path…

A:

Q: Fluid mechanies Define Flow field ?

A: The given question is solved below.

Q: Define the force field F(x, y, z) = . Let S be the portion of the plane z = 2 - 2x in the first…

A:

Q: a para on to express the area The portion of the plane y + 2z = 2 inside th Let u =r and v = 0 and…

A:

Q: The vector tell f (xxz) = (z=+,2oxy"6) igven. Calkulate, using the stores theorem, the surface…

A: Given that  Fx,y,z=z2−1, z+xy3,6 To evaluate the integral ∫∫S∇×FndS using the stokes theorem.

Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

A:

Q: FOR R U ARI ABLES TO CALCULATE THIS INTEGRAL OF wiHEREis THE EIGHTH OF A SPHERE În OCT ANT I,

A:

Q: Find the work done by the force field F(x, y) = (3x², 4xy) on a particle that moves along the arc of…

A: The curve is x2+y2=7 Parametric forms are x=rcosθ         y=rsinθ0≤θ⩽π    From the curve x2+y2=7,…

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A:

Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

A: Sketch the figure.

Q: Setup a double integral that represents the surface area of the part of the plane 4x+y+5z=3 that…

A:

Q: Problem 2. Using line integral of vector filed, show that the vector filed F = (2ryz,r²z-r,r²y-r) is…

A: If a vector field F is conservative, then it's curl will be zero. If it is not conservative The its…

Q: = (x/r, y/r, z/r) r = be the unit radial vector, where x² + y? + z². Calculate the integral of 19.…

A:

Q: 8. Use a surface integral to show that the surface area of a sphere of radius r is 4nr². (Hint: Use…

A:

Q: se Green's theorem to find the work done by the force F(x, y) = x(x + y) i + xy²j in moving a…

A:

Q: Find the line integral of F = around the curve of intersection of the half cone z = Vr?+y? and the…

A:

Q: 2 Eualuate the inteyral 22 -- taken. throughout the volume • f sphere

A:

Q: What does it mean by measures the arc length? Suppose that the function f(x, y) is defined…

A: Measure the arc length when first derivative of the function at a point is given the we use this…

Q: a y = h an xn h X Locate the centroid of the area. Express your answer in terms of some or all of…

A:

Q: Evaluate the line integral fe F - dr, where F(z, y, z) = -ri + 4yj + 5zk and C is given by the…

A: