How do I find the centroid of x + y = 1, coordinate axes?  Mx = integral(b,a)1/2(y2) dx My = integral(b,a) (xy) dx A = integral(b,a) y dx x = My / A y = Mx / A

Q: Let h be a differentiable function of z obtained from the parametric equations z = f(t), y = 9(t).…

A: Option  1  is true .

Q: The tangent plane to the graph of the function f(x, y) = ey at the point with x = 1, y = -1, a) has…

A: Equation of the tangent plane to the surface

Q: If z = In(x² – 2y), and x=u+v, y= e" , find and du If w=2xy'z', and y =x² +1, z= Vx, find dx

A:

Q: Find the moment of inertia of the solid formed by revolving about oy the area bounded by * y2 = 2x…

A:

Q: Calculate 2 4-y2 IL dy de y dx dy. T sinx SSasing dy dx @ $ ydydk

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: knowing that f(x,y,z) =0 ,find dx/dz if (z=x+y) (dz/dx should be interm of fx,fy,fz)

A: Given: f(x,y,z) = 0 and z = x+y

Q: 3 z'= 2(x"+Z) Arrang e in linear form: dy Q) or dx

A:

Q: Integration of( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz along straight line joining…

A: Given: ∫-13∫22∫31(( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz )

Q: Calculate the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4=…

A: We find the work done by the force F = (x + y)i + (1 y)j along the curve ellipse x^2 /9 + y^2 /4= 1…

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

A:

Q: A thin metal plate located in the center of the xy plane has a temperature T(x, y) at the point(x,y)…

A: note : Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: For x = x(y + 3), y = y(x - 1), find the trace of the Jacobian at the fixed point x = 0, y* = 0.

A: Given system is x˙ =xy+3y˙ =yx-1 Fixed point :  x* =0, y*=0   Take   x˙ =fx, y,    y˙ =gx, y   then…

Q: How can I parametrize this 3D shape with two variables? x ≥ 0, 0 ≤ y ≤ x, x^2 + y^2 ≤ z ≤…

A:

Q: Study the analytically of w = L_r(z) at the points z = 0, z = v2,z = -2i

A:

Q: y = v2x + (1//2) х2 +1

A:

Q: ·볼+1 2x - y dx dy, Use the transformation to evaluate 2x-y where u = v = % and integrating over an…

A:

Q: du/dv = (3u-v)/(u+v) partial

A:

Q: A) Integrate f(x, y) = xy^2 over the square bounded with endpoints at (0, 0), (0, 1), (1, 0) and (1,…

A:

Q: What are the coordinates of V'

A: For Triangle ∆TUV, the coordinates at point T is (-7,-6) at point U is (-8,3)  and at point V is…

Q: of Let f(x,y) = xy° +7. Evaluate at (x,y) = (-7,1) and interpret the results. ду -

A: In this question we have find δfδy at (x, y)=(-7, 1)

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. a)…

A:

Q: 3) . (3x2 — Зуz+ 2xz)dx + (3у? - 3xz + z?)dy + (372 — Зху + х? + 2yz)dz Calculate the curvilinear…

A: Let's find.

Q: af Calculate at point (-1,2) where f (x, y) = 8+ x² + 3y? dv and v = i+j. 10 2 5/2 V2

A: fx, y=8+x2+3y2  &  v=i+j Partially differentiating with respect to x, we get fxx, y=0+2x+0=2x…

Q: The roof of the Monterrey Campus gymnasium has the shape of the hyperbolic paraboloid given by the…

A: Here we have to use directional derivative  Directional derivative of a function f(x,y,z) in the…

Q: Ux+yUy=y² , U(0,y)=sin(y)

A:

Q: I don't understand when you use separation of variables you get (r^2R"+rR')/R=-S"/S.Can you please…

A: Consider the given equation. Urr+1rUr+1r2Uθθ=0            ……(a)

Q: y +2ry = e c) Find the general solution of the equation using the x^2y = u and transforms, e^x=v

A:

Q: escriba una integral doble que proporcione el area de la region mostrada

A: Step 1: Step 2: Step 3: Step 4:

Q: 2а +3 V (2²+3x–7)"

A: We solve the given integral by suitable substitution. We substitute x2+3x-7=u.