Use the method of adding y coordinates to graph the followin

Use the method of adding y coordinates to graph the following function tor 0 lessthanorequalto x lessthanorequalto 2x y= -5 sin x + sin 2x Choose the correct graph below

Solution

y = -5sinx +sin2x

y (at x=0) = 0 then option a is eleminate and does not correct answer

dy/dx = -5cosx +2cos2x

dy/dx (at x=0) = -5+2 =-3 then option d is also eliminate because the slope in d curve at x =0 is positive

In option B slope at x=0 is 0 then option B is also eleminate

the correct answer is C