1. Use the Midpoint Rule and the given data to estimate the value of the integral I. I = int_0^3.2 f(x)dx
x f(x) x f(x)
0.0 7.6 2.0 6.9
0.4 6.7 2.4 6.9
0.8 6.6 2.8 8.4
1.2 8.9 3.2 6.3
1.6 7.5
2. If it is known that -5 ? f ''(x) 1 for all x, estimate the error involved in the approximation in part (a).

step-by-step explanation:

do i do it on a graph?

step-by-step explanation:

2/3

step-by-step explanation:

the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.