У Consider the plate bounded by y = r3 + x2 + 2, = 12-3, = -1 and x = 1 as shown on the right Set up, but do NOT evaluate the integrals for the centroid of the plate X -2 -2 -4

Q: Compute integral

A: Given data: The given integral is ∫exex+1+123x+1dx. The given integral can be written as,…

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A:

Q: Evaluate the integral ſſ /ydA, where T- triangle with vertices (1,0), (0, 1), (1, 1).

A: Let us consider the double integral  I=∫ab∫f(x)g(x) f(x,y) dydx    or I=∫ab∫f(y)g(y) f(x,y) dxdy…

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A: a) We factor out 3, then integrate. c=integrating constant

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A: We have to solve the given integral. We will make use of substitution method to solve this integral.

Q: Fid

A: To find the triple integral ∫∫∫B24xy2z3dV , where B is the box B=0,a×0,b×0,c. dV=dzdydx.

Q: calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

A:

Q: Write a line integral(s) that would give you the area the graph of f(x,y)=x^2-3y^2-4x+6y+30 and the…

A: The line integral of  function F along with curve C is defined as  ∫CF·dr=∫C(M,N)·(dx,dy)=∫CM dx+ N…

Q: compute the area of the region determined by the vertices (-1,0), (0,1), (1,0) and (0,-1) using…

A: Given: Vertices are given as (-1,0), (0,1), (1,0) and (0,-1)  To find: Area of the region bounded by…

Q: Estimate the double integral_R  (3xy^(2)+2x^(2)) dA where R= [0,1] x [0,1] by diving R into four…

A: We need to evaluate integral.

Q: 8. Evaluate the double integral // ydrdy where T is the triangle with vertices (0,-1), (0,5), (4,…

A: