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Part $1$

Complete the following steps for the given function, interval, and value $ofn.$

$a.$ Sketch the graph $of$ the function $on$ the given interval.

$b.$ Calculate

Upper Delta $x$

and the grid points

$x0,x1,...,x$ Subscript $n.$

$c.$ Illustrate the left and right Riemann sums. Then determine which Riemann sum underestimates and which sum overestimates the area under the curve.

$d.$ Calculate the left and right Riemann sums.

$f(x)=\sqrt[\phantom{2}]{5x}$ for$[1,4]$ Complete the following steps for the given function, interval, and value $ofn.$

$a.$ Sketch the graph $of$ the function $on$ the given interval.

$b.$ Calculate $x$ and the grid points $x_0,x_1,$dots,$x_n.$

$c.$ Illustrate the left and right Riemann sums. Then determine which Riemann sum underestimates and which sum overestimates the area under the curve.

$d.$ Calculate the left and right Riemann sums.

$f(x)=\sqrt[\phantom{2}]{5x},$ for $[1,4]$;$n=6$

$a.$ Sketch the graph $off(x)=\sqrt[\phantom{2}]{5x}on$ the interval $1,4.$ Choose the correct graph below.; $n=6$