There is a line through the origin that divides the region
bounded by the parabola y=8x−7x^2 and the x-axis into two
regions with equal area. What is the slope of that line?
y=x2/(7x+4) determine the intervals on which the
function is increasing, decreasing, concave up, concave down,
relative maxima and minima, inflection points symmetry vertical and
non vertical asymptotes and those intercepts that can be obtained
conveniently and sketch the graph
1. Find the area between the curves y = x2 and y = x
+ 2.
Round your answer to one decimal place.
2. Find the area under the curve defined by the following data
points:
x
1
4
7
10
13
16
19
22
25
y
4.2
4.6
4.8
6.2
6.8
7.8
9.1
8.8
9.4
Round your answer to 2 decimal places.
I appreciate your help :)
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.