Calculate the volume of the solid of revolution created by rotating the curve y=4+6 exp(-5 x) about the x-axis, for x between 1 and 4. volume : 16 incorrect: your answer is incorrect. the equation of a circle of radius r, centered at the origin (0,0), is given by r^2=x^2+y^2 rearrange this equation to find a formula for y in terms of x and r. (take the positive root.) equation: y = click here to preview your answer. what solid of revolution is swept out if this curve is rotated around the x axis, and x is allowed to vary between -r and r ? (you do not need to enter this answer into webassign.) suppose we wanted to set up the following integral so that v gives the volume of a sphere of radius r v=int_a^b f(x)text( )dx what would a, b and f(x) be? a = click here to preview your answer. b = click here to preview your answer. f(x) = click here to preview your answer. (webassign note: remember that you enter pi as pi ) carry out the integration, and calculate the value of v in terms of r. v = click here to preview your answer.

Cal's go cart has a gas tank with the dimensions shown below. he uses a gas can that holds 11 gallon of gas, to fill the go cart tank. 11 gallon = 231 inches^3 how many full gas cans will it take to fill the go cart's gas tank?

The sum of the speeds of two trains is 720.2 mph. if the speed of the first train is 7.8 mph faster than the second train, find the speeds of each.

Ascientist studied a population of workers to determine whether verbal praise and/or tangible rewards affect employee productivity. in the study, some workers were offered verbal praise, some were offered tangible rewards (gift cards, presents, and some were offered neither. the productivity of each participant was measured throughout the study by recording the number of daily tasks completed by each employee. which inference might the scientists make based on the given information? a.) the number of daily tasks completed by each employee may influence the dependent variable, which is whether the employee receives verbal praise, tangible rewards, or neither. b.) verbal praise and/or tangible rewards may influence the independent variable, which is the number of daily tasks completed by each employee. c.) verbal praise and/or tangible rewards may influence the dependent variable, which is the number of daily tasks completed by each employee. d.) the dependent variables, which are verbal praise and tangible rewards, may influence the number of daily tasks completed by each employee.