H(x) is a function such that over the interval [a, b], h\'(x) > 0 for the entire

Question

H(x) is a function such that over the interval [a, b], h'(x) > 0 for the entire interval. What type of Riemann sum will definitely underestimate the area under the curve for that interval? Left hand rectangles Right hand rectangles "Midpoint" rectangles Trapezoids h(x) is a function such that over the interval [a, b], h"(x) > 0 for the entire interval. What type of Riemann sum will definitely overestimate the area under the curve for that interval? Left hand rectangles Right hand rectangles "Midpoint" rectangles Trapezoids

Explanation / Answer

Overestimation is when the rectangles approximate the area to be bigger than the actual area and underestimation is when the rectangles approximate the area to be less than actual area of curve

if h'(x)>0 means slope is +ve

hence right reiman sum overestimates

henceanswer of 7 is b

8) again if h''(x)>0

right reimann sum overestimates hence b

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