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?

The parabola x = y² - 9 opens: a.)up b.)down c.) right d.)left

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. the right triangular prism has a height of 6 units, and the right cylinder has a height of 6 units. which conclusion can be made from the given information? the volume of the triangular prism is half the volume of the cylinder. the volume of the triangular prism is twice the volume of the cylinder. the volume of the triangular prism is equal to the volume of the cylinder. the volume of the triangular prism is not equal to the volume of the cylinder.

Common binomial factor of 6x(3x+7)+5(3x+7)