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Q: Use Green's Theorem to evaluate the line integral oriented counterclockwise. Please refer to attach...

A: Given information:The circulation of the line integral of F=<3x^2, 6x^3+y>. where C be the bou...

Q: 2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′ What is the order of the differential equation shown...

A: The given differential equation is ,2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′. The order of the ...

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point. Express 0 in ...

A: Let the polar coordinates of given point are ( rcos(thita), rsin(thita)) as shown on board.By compar...

Q: What is the solution to the initial value problem below? y′=5ex +8x3 +x2 +4x y(0)=3 Do not include "...

A: The given differential equation is, y′=5ex +8x3 +x2 +4x.

Q: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

A: During the first 4 months of employment, the monthly sales S (in thousands of dollars) for a new sal...

Q: Write the integral for the average value of f(x,y,z)=xyz over the region bounded by the paraboloid z...

A: To express the integral notation for the average value of the function f(x,y,z)=xyz over the region ...

Q: Need solution to 4).d. thanks

A: (d)The limit is a point, where the function approaches the input.The limit value of the given expres...

Q: Consider an object moving along a line given the velocity v. Assume t is time measured in seconds an...

A: To find the direction we have to graph the function v(t)=2t^2-16t+24;[0,7]And then we check the inte...

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

A: The given functions are,