Answer Happy

Find the area of the region enclosed by y=3.25x and x=3.5−y2 Use horizontal strips to find the area, that is, integrate with respect to y First find the y coordinates of the two points where y=3.25x meets x=3.5−y2. lower limit c= and upper limit d= To find the area of the enclosed region from c to d we will integrate: ∫cd​g(y)dy where g(y)= Evaluate the definite integral to find Area =
Use part I of the Fundamental Theorem of Calculus to find each derivative, given the following f(x) : f(x)=∫1x​1+t31​dt f′(x)= f′(4)=
A bucket begins holding 30kgs of sand. The bucket is to be lifted to the top of a 10 meter tall building by a rope with density 0.1 kg/m. However, the bucket has a hole in it, and leaks 0.3 kgs of sand each meter it is lifted. Find the work done lifting the bucket and rope to the top of the building. Use 9.8 m/s2 for gravity.