Question

1).Find the parametrization of the line through (2,8) with slope 13 for given ?(?)=4?. (Use symbolic...

1).Find the parametrization of the line through (2,8) with slope 13 for given ?(?)=4?.

(Use symbolic notation and fractions where needed.)

2). Use the formula for the slope of the tangent line to find ??/?? of ?(?)=(sin(6?), cos(7?)) at the point ?=?/2

(Use symbolic notation and fractions where needed.)

3).Find the equation of the tangent line to the cycloid generated by a circle of radius ?=1 at ?=5?/6.

(Use symbolic notation and fractions where needed. )

4). Let ?(?)=(2?^2−3,4?^2−16?). Find the equation of the tangent line at ?=2.

(Express numbers in exact form. Use symbolic notation and fractions where needed.)

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