Sam goes running monday, wednesday, and friday of each week. each monday he runs 3.75 miles, each wednesday he runs 5.75 miles, and each friday he runs 6.25 miles. how many total miles does he run in 7 weeks?

3.75+5.75+6.25=15.75 miles per week
15.75*7=110.25
Final 110.25 miles

First differentiate with respect to x:-

 10y^4.dydx  + x^2.3y^2.dy/dx + y^3.2x =  ye^x + e^x. dy/dx

dy/dx   =      ye^x - 2x y^3
             
             10y^4 + 3y^2x^2 - e^x

substituting  the point(0,1) into the above:-

dy/dx  =     1 e^0 - 0
                =  1/9
               10 + 0 - 1  

So the slope of the tangent  = 1/9
To find the equation of the tangent line:-
y - 1 = (1/9)(x - 0)

y = 1/9x + 1

or this could be written as 9y = x + 9