Consider the solid (in the octants where x <0)bounded by == +y. ==9x + 9,y°, =4 and x+y+==11.The solid has density given by p(x, y, =)= y: kg/m. Set up an tegral that would calculate the mass of the solid. (Your limits of integration can have only numbers in them. lote, arcsin(3/4) is a number, so it could be a limit of integration).

Q: *® x'+yt+ 2" =4 r=2 coso , %3D Find the volume

A: We have r = 2cosθ and x² + y² + z² = 4

Q: If a and b are integers, then a/b is always a rational number. True False

A:

Q: - x- cus x, y'l0)= 2, ylo): -2.

A:

Q: 4. Find d?y/dx² for the following functions: b) y = cos*(sec² 3x)

A:

Q: y = 4 cos(x), y = 8x² - 2

A:

Q: Find the total differential, given: (b) \theta = arctan (y/x)

A: Let us consider the function z=f(x,y)  The partials derivative are obtained as…

Q: y = h(xlb)2.

A:

Q: For the blue shaded area shown in the image below, if dimension a = 1.5 m, determine its area moment…

A:

Q: I the total area bounded

A: Here we have to find the area bounded by the curves

Q: Identify the type, order, degree, DV, IV and name of the DE. (y'")3+5(y")2-2y' - 5y=0

A:

Q: Determine the order of the DE. a.) y' + y = 5y^2 b.) (dy)/(dt) = t c.) y' = y'' + 5t^2

A:

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

A:

Q: Find the solution of ordinary differentral equation X+2xy'-2y=L4xlox -5cos(Inx)

A:

Q: Determine the arc length of y=1/3x^(3/2) on [0,4]. Final answer is S=4.87 units, Show the complete…

A: Given the function y=13x32 If a function y=fx  is given then the arc length of the portion of the…

Q: Why is .5x.5.x.5x.5x.5 =0.03125 But .5x4=2 And 54=0.03125 Aren't they all the same equations just…

A:

Q: Find dy/dx if ylnx + y^2 = 0.

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: Find the area between the curve :       , and the positive semi-axis "X".

A: Given curve is y=e-xcos(x)

Q: Without integrating, explain why: S, ?)°dx = o x(1+ x* -2

A: To show:     ∫-22x1+x22dx = 0 (without integrating)

Q: Compute for dy/dx. Suppose y is a function of x. a.) y = 2^(cotx) Arcsec(πx) + cos² (π/7)

A: Given: y=2cotxsec-1πx+cos2π/7

Q: To/t Integrate Ua ko To 3. Uz kg 2. eT-1

A:

Q: Change the order of integration to evaluate Love LV² sin x² dx dy.

A: