#1. Write the following limits as definite integrals. lim E"[2(ck)² – c]Ax а. 'k = 1 ||P||→0 b. lim E 9 – (cx)²Ax, 'k = 1V ||P||→0 lim (sin Ck)Axx ||P||→0 с.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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#1. Write the following limits as definite integrals.

a. \[
\lim_{\|P\|\to 0} \sum_{k=1}^{n} \left[2(c_k)^2 - c_k\right]\Delta x_k
\]

b. \[
\lim_{\|P\|\to 0} \sum_{k=1}^{n} \sqrt{9 - (c_k)^2} \Delta x_k
\]

c. \[
\lim_{\|P\|\to 0} \sum \left(\sin c_k\right)\Delta x_k
\]
Transcribed Image Text:#1. Write the following limits as definite integrals. a. \[ \lim_{\|P\|\to 0} \sum_{k=1}^{n} \left[2(c_k)^2 - c_k\right]\Delta x_k \] b. \[ \lim_{\|P\|\to 0} \sum_{k=1}^{n} \sqrt{9 - (c_k)^2} \Delta x_k \] c. \[ \lim_{\|P\|\to 0} \sum \left(\sin c_k\right)\Delta x_k \]
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