4. Let f(x)=xe1−2x, and let OP be the line through the points O=(0,0) and P=(1,e). (a) Which point (O or P) lies on the
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4. Let f(x)=xe1−2x, and let OP be the line through the points O=(0,0) and P=(1,e). (a) Which point (O or P) lies on the
4. Let f(x)=xe1−2x, and let OP be the line through the points O=(0,0) and P=(1,e). (a) Which point (O or P) lies on the curve y=f(x) ? Find the slope of the tangent line to y=f(x) at that point. ( 5 pts.) (b) Is OP tangent to the curve y=f(x) ? [Hint: You must check that its slope is correct.] (3 pts.)
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