Evaluate fff xav G where G is the solid enclosed by z = 0, z = 3, y=-3, y=0, x= 0 and z = x² - 6x +9.

Calculate the area of the shaded part y = x + 3 and y = x3 – 3x + 3. y=x+3 Area 1 Area 2 (2, 5) + y = x³ – 3x + 3 (-2, 1) -2 2.

Find the area of the surface generated when y= (square root) 4x+6 is revolved about the x axis on the interval [0,5]

Which equation represents the outer boundary of the area that could feel the earthquake? O (x+3)² + (y-2)² = 52 O (x-1)² + (y + 4)² = 52 ○ (x+3)² + (y-2)² = 100 O (x-1)² + (y+4)² = 100

Consider the area bounded by the curves y = 4x³ - x² - 14x and y = x²+2x. Where do the curves intersect? Enter your answers as a comma separated list. Find the total area bounded by the curvesty = 4x³ - z2 vesty — 4x³ – 2 ² – 14x and y = −x² + 2x. Total area =

Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y = 2 -x if 8 = 16x + 8y + 8.

Draw the standard yz− and xz− traces of the quadratic surface x^2 + y^2 − 2x − z + 1 = 0

Find the surface area of the portion S of the cone z² = x² + y², where z ≥ 0, contained within the cylinder y² + z² ≤ 49. (Use symbolic notation and fractions where needed.) area (S) =

Let y= - %3D Find the intersection of these surfaces. Calculate +he GB of wrt lex order (2)

Solve correctly please