Find the volume of the solid generated by revolving about the x-axis the region bounded by the upper half of the ellipse(x^2/a^2)+(y^2/b^2)=1and the x-axis, and thus find the volume of a prolate spheroid. here a and b are positive constants, with a> b. volume of the solid of revolution:

Which expression is equivalent to 2x^2+7x+4?

Which graph represents the solution set for the given system of inequalities? x+2y< 3 x+y> 4 3x-2y> 4

Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.