Let G(x) = f f(t) dt and H(x) f(1) dt where fis the function graphed below. Graph ofs (a) How are the values of G(x) and H(x) related? Give a geometric explanation of this relationship. (b) On which...


Let G(x) = f f(t) dt and H(x) f(1) dt where fis the function graphed below.<br>Graph ofs<br>(a) How are the values of G(x) and H(x) related? Give a geometric explanation of this relationship.<br>(b) On which intervals of [-5, 5], if any, is H increasing?<br>(c) At what x-coordinates, -5 <x< 5, does G have a relative maximum? Justify your answer.<br>(d) On which subintervals of [-5, 5], if any, is G concave up?<br>

Extracted text: Let G(x) = f f(t) dt and H(x) f(1) dt where fis the function graphed below. Graph ofs (a) How are the values of G(x) and H(x) related? Give a geometric explanation of this relationship. (b) On which intervals of [-5, 5], if any, is H increasing? (c) At what x-coordinates, -5 <>< 5,="" does="" g="" have="" a="" relative="" maximum?="" justify="" your="" answer.="" (d)="" on="" which="" subintervals="" of="" [-5,="" 5],="" if="" any,="" is="" g="" concave="">

Jun 04, 2022
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