Consider the graph of f described by the equation f(x) = 1 / 2 x2 for 0 ≤ x ≤ 10.
a. find the area of the 10 rectangles with height f(i) and width 1, for i = 1, 2, 3, … , 10.
b. what is the total area for 0 ≤ x ≤ 10? that is, evaluate ∑ f(i) ⋅ δx 10
i=1 for δx = 1.
c. draw a picture of the function and rectangles for i = 1, 2, 3.
d. is your approximation an overestimate or an underestimate?
e. how could you get a better approximation of the area under the curve?

6.3x+14 and 1.5x-6 answer in simplified form

Design a number line containing five (5) points2.benin, one of the smallest countries in africa, has a total area of 43,475 square miles. the population of the country was recently estimated at 10,160,555. about 3,657,790 people live in rural areas. the country has only about 870 miles of surfaced roads. a. round off the total population to the nearest hundred thousand people. b. round off benin’s area in square miles to the nearest thousand. c. round off the number of miles of surfaced roads to the nearest ten. d. round off the number of people who live in rural areas to the nearest million.

Add the fractions and simplify 1/2+ 1/3