Work through the following steps to evaluate √(x² + 5) dr. a) We know that a = and b = b) Using 12 subintervals, Az= c) Assume that the sample points in each interval are right endpoints. Find the following sample points: x1 = T2 S 23= In general, the ith sample point is ; = terms of i and n. Note: your answer will be an expression in d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. Σf(*)Δα i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. " √(x² + 5)dx = lim f(r.)Az = i=1

Work through the following steps to evaluate √(x² + 5) dr. a) We know that a = and b = b) Using 12 subintervals, Az= c) Assume that the sample points in each interval are right endpoints. Find the following sample points: x1 = T2 S 23= In general, the ith sample point is ; = terms of i and n. Note: your answer will be an expression in d) Now find the sum of the areas of n approximating rectangles. Note: your answer will be an expression in terms of n. Σf(*)Δα i=1 e) Finally, find the exact value of the integral by letting the number of rectangles approach infinity. " √(x² + 5)dx = lim f(r.)Az = i=1

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.1: Area And Initial Postulates

Problem 30E: The following problem is based on this theorem: A median of a triangle separates it into two...

See similar textbooks

Similar questions

In trapezoid ABCD, MN is the median. Without writing a formal proof explain why MN=12(AB+DC).
The following problem is based on this theorem: A median of a triangle separates it into two triangles of equal area. In the figure, RST has median RV. a Explain why ARSV=ARVT. b If ARST=40.8cm2, find ARSV.
Write the values of the settings on the following varnier protractor scales.
In RST, suppose that RH,TG, and SK are medians. Find the value of: a RKKT b THHS
Use theorem 5.4.3 to form a proportion in which RS is a geometric mean. Hint RVSRST Exercises 1-6
Given: FHGSKM and FGHK . Determine the value of 1, 2 and 3 for these values of 4.
Suppose that ABCDEF. Also, AX is the median from A to BC and DY is the median from D to EF. Are these corresponding medians of congruent triangles congruent? Exercises 35, 36