Consider the triangular wedge-shaped solid region shown, with a = 4, b = 5 and c = 6. x b (a) Find a formula A(x) for the triangular cross-sectional area indicated (the area of a cross-section through the region, perpendicular to the x-axis). [Hint: Use the area formula for a triangle.] (b) Find the volume of the solid by integrating your formula for the cross-sectional area from (a) over a suitable interval.

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

A:

Q: In constructing an open rectangular box from 75 ft² of material, what dimensions will result in a…

A:

Q: 2. The metal cylinder in Question #1 has a radius (r) = 1.05 cm and a height (h) = 3.32cm. (a)…

A: Given that the metal cylinder has a radius (r) = 1.05 cm and height (h) = 3.32 (a) To calculate…

Q: A volume is described as follows: = 1; 1. the base is the region bounded by y = e1.5%, y = 1.5x2…

A:

Q: A volume is described as follows: 9 2 - -x² and y = 0 1. the base is the region bounded by y = 9 2.…

A:

Q: Consider the solid whose base is the region bounded by 4x? + 9y? = 36. Y 3 -3 -2 -1 -1 2 3 2 -3 1.

A:

Q: The region enclosed by the curve y = x ²- a ²and the x- axis is rotated by 90 deg about the x axis.…

A: The curve is :The x-axis is rotated by 90 degrees about the x-axis.The aim is to find an expression…

Q: (5) Find the volume of a sphere of radius r. Draw an illustration. (6) The above is an example of…

A:

Q: Hole with r=2 O 5 4

A: Let the lenght of the rectangular prism be=l        the width of the rectangular prism be=b and the…