Consider the function (in the first quadrant) Find the centre of mass of the region of the shaded area as if revolved around the axis, Ycm- y = f(x) = 1~2 y- Find the centre of mass of the region of the shaded area as if revolved around the x-axis, Xcm- 9 y = f(x) = 4√

Q: Find a center of mass of a thin plate of density 8 = 3 bounded by the lines y = x and x = 0 and the…

A:

Q: Find the area enclosed by the graphs of a = f(y) = y³ - 26y + 10 and x = g(y) = 40 - 6y² - y³. (a)…

A: Given:The functions are  and To Find:(a) The intersection point(b) Functions that are to the right…

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: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

A:

Q: Find an equation of the tangent plane to the graph of F(r, s) at t F(r. s). - (3r4 1 + 1), (-1, 1.…

A: Introduction: Let z=f(x,y) denote the equation of a surface S in R3, and P=(a,b,c) denotes a point…

Q: Let f(x, y) = 5ex - Y. Find the equation for the tangent plane to the graph of f at the point (5,…

A: Given: fx, y=5ex-y. To Find: Equation of tangent plane to the graph of f at the point 5, 5.

Q: Find the slope of the tangent in the positive x-direction to the surface z = 3x3 - 7xy at the point…

A:

Q: Find the Moment of Inertia for the area bounded by the parabola x + y = 1 and the coordinate axes in…

A: Solution :-

Q: is 8 g/cm while a

A: answer is in next step

Q: Find the moment of inertia of the area in the first quadrant bounded by the curves y = 9 – x² and y…

A: Moment of inertia bounded by the curves y2 and y1 about y-axis is  Iy=∫abx2(y2-y1)dx Consider the…