Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. y = 2(3 − x) y = 0 x = 0

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the y-axis. y = 2(3 − x) y = 0 x = 0

I don't understand how to find an acute angle between 3y= x - 7 and 2y= 3 - 4x. Could you help me?

I'm having a lot of trouble with the set up and integration. Please help me with this problem, thank you. I know you are supposed to use the formula integral(2pi * y * sqrt(1+(y')^2)).

Let g(x,y)=(xy)^(1/3). e.Does the graph of g have a tangent plane at (0,0)? Explain briefly. f.Is g differentiable at (0,0)? Explain briefly. I asked this question yesterday...

A stone is thrown into a lake and a circular ripple moves out atba constant speed of1m/s. Find the rate of change of surface area at the instant when its radius is 2m.

Let g(x,y)=(xy)^(1/3). a. Is g continuous at (0,0)? I put down yes since it's not undefined there. b.Calculate ∂g/∂x and ∂g/∂y when xy≠0. This wasn't too bad and...

Find u′(1)

Here's the question: Find the most general function f:R^2 --> R such that ∇f(p)=p for each p∈R^2. So, I'm guessing this means that I just need to find a function of x and y...

Is f(x,y)=sqrt(x^2+y^2) differentiable at (0,0)? Justify. I don't think the partial derivatives exist due to the limit definition, so can I say that the function isn't differentiable...

Let P(x)=-x^(3)+4.5x^(2)-0.5x-6, when factored, P(x)= -(x+1)(x-3/2)(x-4) State the domain.

In 1626, Peter Minuit traded trinkets worth $24 for land on Manhattan Island. Assume that in 2014 the same land was worth $4 trillion. Find the annual rate of interest compounded continuously at which...

Find or evaluate the integral by completing the square. (Round your answer to three decimal places.) Boundary is from 2 to 3. ∫ (2x-3)/ (√(4x-x2) dx

Rod with length L has net charge -Q distributed along its length. The rod is placed with one end at the origin and the other at point (0,L) on the y-axis. Find the components of the electric field...

an airplane is heading 040degree with an airspeed of 800 km/h. A wind from the west causes it to have the course 045 degree. Find the resultant ground speed of the airplane and the speed of the wind...

s =2t^3-4t^2+2t-1 Determine the average velocity in the first 2 seconds of motion.

what is the arcsin(1)?

A curve has equation y=(x2+1)4+2(x2+1)3. Show that dy/dx=4x(x2+1)2 (2x2+5) and hence show that the curve has one stationary (critical) point. State the coordinates of the stationary...

What is the inverse of f(x)= x^(3/5)+1 Thanks

need help

Find the indefinite integral ∫3/(√(49-(x+7)2) dt

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