1.For which constant K is the following function Q(x) continuous for all x? justify your answer Q(x)=5 sinx+ke x if x 0 2.Show that the

1.For which constant K is the following function Q(x) continuous for all x? justify your answer

Q(x)=5 sinx+ke^x _{if x<=0}

_{7 cosx+2x}² _{if x>0}

2.Show that the derivative of f(x)=6+4x^2 is f'(x) =8x by using the definition of the derivative as the limit of a difference quotient

3.If the area A=s^2 of an expanding square is increasing at the constant rate of 5 square inches per second, how fast is the length s of the sides increasing when the area is 25 square inches?

4.Find where the intervals where the graph of y=x^3-5x^2+2x+2 is a concave up and concave down, and find all the inflection points.