I can not get these three problems. I tried and tried but nothing makes sense. If someone could walk me through it and explain them to me I would be very grateful.

1)Let and be real numbers and let be the function defined by

= , for x less than or equal to 1 and , for x greater than 1

(a) find the values of , in terms of , for which is continuous at

(b) find the values of and for which is differentiable at

(c) if and have the values determined in part (b), is second derivative a continuous function? Justify you answer.

6)Let . The graph is symmetric with respect to the Y-axis, has relative maximum at , and has an absolute minimum at

a) determine the values and using these values write an expression for

b)Find all possible values of

7)given the curve

(a) write a general expression for the slope of the curve.

(b) Find the coordinates of the points on the curve where the tangents are vertical.

(c) at the point find the change in the slope of the curve with respect to x.

Thank you everybody for all your help!