Compute utimesu, vtimesu, and StartFraction v times u Over u times u EndFraction using the vectors uequals[Start 2 By 1 Matrix 1st Row 1st Column negative 1 2nd Row 1st Column 4 EndMatrix ]and vequals[Start 2 By 1 Matrix 1st Row 1st Column 7 2nd Row 1st Column 5 EndMatrix ]

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.

6cm10 cma conical paper cup has dimensions as shown in the diagram. how much water can the cup hold when full?