2 Using calculus, nd the absolute maximum and absolute minimum of the function f (a) = 5:: 203 + 3 on the interval [4, 3]. absolute maximum : |:| Q a absolute minimum 2 |:| Q a Evaluate the denite integral 1 50392163 M ) using Part 1 at the Fundamental Theorem of Calculus. Remember to include a "+ C" if appropriate. 1 .. A (50:9 20d: 2| Number Evaluate the definite integral (10e + 14x) dx using Part 1 of the Fundamental Theorem of Calculus. Enter the exact answer. Remember to include a "+ C" if appropriate. Include a multiplication sign between symbols. For example, a . IT. (10e* + 14x)dx =Find the linearization of the function f (x) = x at r = 1. L(x) = Using this linearlization, f (1.03) is approximately NumberThe area of a square is increasing at a rate of 12 centimeters squared per second. Find the rate of change of the side of the square when it is 2 centimeters. The rate of change of the side is Number cm/sec.Find two positive numbers with product 400 and 1whose sum is a minimum. Enter your answers in increasing order. First number: |. Number I Second Number: | Number I Conrm that the below limit meets the conditions to apply I'Hopital's Rule and then solve the limit. Be sure to address these conditions in your explanation. Enter an exact numeric answer. ljm 111(3) 3}1 341 = I. Number \fFind the indenite integral on the domain of positive real numbers. Enter an exact answer. Remember to include a "+ C" if appropriate. Enclose arguments of functions in parentheses. For example. sin [21]. To enter , type sortta}. /(%+ 9313s: Ii ilsss Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of functions in parentheses. For example, sin (2x). 7cos (x) dx =2 2 Suppose If (x) dx = 8 and fg(x) de = -1. 1 2 Evaluate S(-4f(x) - 2g(x)) d. Remember to include a "+ C" if appropriate. Number