Find the volume of the figure with base bounded by the given curves such that slices perpendicular to both the xy-plane and the y-axis are trapezoids, where the longer parallel side is the base, the shorter parallel side is one-third of the base, and the sides form a 75-degree angle with the base. Round to 5 decimals. y2 - 2y = 6x (y- 2)2 + (x – 5)? = 25

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

Q: The distance of the point (k, 2k, 5k) from the origin is 30. Find the positive value of k.

A:

Q: Write an equation that represents the area of the cross section obtained when a horizontal plane…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A:

Q: In the table below, S is the area in square meters of the cross section of a railroad track cutting…

A:

Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

Q: Find the distance between the point (-4, 2) and the line 3x + 5y + 2 = 0. NOTE: Enter the exact…

A:

Q: Q5:. Calculate the area of the triangle formed by the line 3x-7y+4 =0, and the axes.

A: By using formula of area of triangle and basic geometry. Area of right angle triangle = 1/2(B×H)

Q: Find the equation of the line through P = (13, 12) such that the triangle bounded by this line and…

A:

Q: Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8=D0

A: Area of the circle = 9π sq.units