The centroid of a lamina bounded by the graphs of y = f(x) and y = g(x) and the lines x = a and x = b is OP) dx) (x, y) = ( (My Mr) - (-7. (f(x) - 8(x) dx x(f(x)- g(x)) dx Find the centroid of the homogeneous lamina enclosed by the graphs of the equations y=x2/3 and y = x². (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*.*).) (x, y) = (f(x)]²-[g(x)1²) dx (f(x) - g(x)) dx

Q: Find the sum of maximum and minimum values of the function f(x, y, z) = 3x+6y +9z 18 and the plane…

A: Now,

Q: Find the absolute minimum and absolute maximum of the function f(x, y) = x^3 – 2y^3 + 3y + (x – 1)^2…

A:

Q: An equation of the tangent plane to the surface 1+y Z = at the point p(1, 7, 4) is 1+x (A) 2(x+1) -…

A:

Q: integrate the function f(x,y) = x^2 +y^2 over the unit circle

A: In this question we  integrate the function f(x,y)=x2+y2 over the unit circle the unit circle…

Q: F(1)=r cot"(1.4-r')i +1.4(r² -1) j + Jar +1k t = 0 at and is normal to the plane x+y-z 3

A:

Q: The equation of the tangent to the curve y=4+ sin' x at X=0 is O y = 4 O y = 2 O y = 6 O y = 3

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: an isosceles triangle has a baseline between (0,0) and (x,0), while the third corner is placed in y=…

A: Let's find.

Q: Find the centroid of the region bounded by the given curves. y = x³, x+y = 30, y = 0 (x, y) =

A:

Q: find absolute maximum and minimum of f(x,y)=x^3+3xy-3y^2+2 in a region whose vertices at (-1,-1)…

A: Given function is  fx,y=x3+3xy-3y2+2