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Question

iu Secure l https://www.mathxl.com/Student/PlayerTest aspx?testld 152065246&centerwin; yes HCC DE Math 1325-000 (10181) 16-weeks Spring 2017 urar Sarsembayev 1 Test Test 2 Time Remaining This Question 5 pts 17 of 19 (0 complete W Find the slope and the equation of the tangent line to the graph of the given function at the given value of x. The slope of the tangent line to the graph at the point x 4 is (Simplify your answer) The equation of the tangent line is Enter your answer in each of the answer boxes

Explanation / Answer

y=10x1/2+2x3/2+2 , when x=4 , y=20+16+2=38

y'=(5/x1/2) + (3x1/2)

At x=4

y'=5/2 +6=17/6

Slope=17/6

Using point slope form

y-38=(17/6)(x-4)

y=(17x/6)+80/3