Question

Decide which integral of the Divergence Theorem to use and compute the outward flux of the vector field

across the surfaceS, where S is the boundary of the region bounded by the planes

x=2, y=0, y=π/2, z=0, and z=x

Step 1

From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E the flux is equal to triple integral of **divF** over the region **E**.

Step 2

Find the range of *x,y* and *z* as follows.

Step 3

Outward flux can be calcu...

Tagged in

Q: Find the function F that satisfies the following differential equations and initial conditions F'''(...

A: We are given second derivative as

Q: How can I get the result? Which is the result?

A: we are given a function as

Q: You are given the four points in the plane A=(8,−8), B=(10,4), C=(12,−1), and D=(16,1). The graph of...

A: We have given the four point in the plane A, B, C and D.The total integral is to be the sum of the a...

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: Determine the area, in square units, of the region bounded by g(x)=−7x−7 and f(x)=x2 −11x−28 over th...

A: To calculate the area bounded between the curve g(x)=-7x-7 and f(x)=x2-11x-28 over the interval [-3,...

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k To find the velocity ...

Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).

A: The given differential equation is,

Q: Find the area of the region inside of r = 1-sin(theta) and outside of r = 1 show all work

A: Compute the intervals of θ as follows.For the points of intersection,

Q: differentiate f(t) = t^(1/3)/ (t-3) On the solution guide on the first step for the numerator, we ha...

A: Explanation:Consider the term t1/3.It is known that adding and subtracting a same number to any numb...

Sorry about that. What wasn’t helpful?