Question

Eunsol Kwon e. Jix) is concave up on [U, OJ Since the grapn is increasing at x = U, the left-most point of this interval Consider the following integral: [x" dx for n € N = {1,2, 3, --}. Now consider the following three statements: is a nonsensical statement. equals the exact area bounded by f(x) = x",x=0, x= 1, and the x-axis. Then Select one: a. All of L., II., and Ill are true. b. II. is the only true statement. c. I. is the only true statement. d. II and III. are the only true statements. .. None of L, IL, or illis true. Next page is page

Answer 1

Solubim:- option is right statement ist is nonsencial because value of n is bot given as a fixed constant so com hot find exact value of integration value of integration depends on value of h. and obeviously statement Tha e Brd - are true as it anda El xht 21 couty Jo hh his and Tordis _DA91 X gole x=1

② suppose foo is differentable himchion and surrore flx) is increasing it if alb then fla2 <fh) so temgent at b is more than tongent of furochin at a. and ab are arbitrary so by graph. f"(b) Fla) 4 >X hence function FW) is convex.

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