1. Let f(x,y)=x4-y2+3x2+2y-7. The first partial derivatives of f(x,y) are zero at the points (0,1) and (-1, 1). Use the second derivative test to determine the nature of f(x,y) at each of these points.

A) (0,1) neither relative maximum nor minimum, (-1, 1) maximum

B) (0, 1) no conclusion possible, (-1, 1) minimum

C) (0, 1) relative maximum, (-1, 1) relative minimum

D) (-1, 1) relative maximum, (0, 1) neither relative maximum nor minimum

E) none of these

2. Find the tangent line to the graph of f(x)=(1+sin x)^3 at (pi/2,8)

A) y = x - 8

B) y = (/2)x - 8

C) y = -8

D) y = 8

E) none of these

3. How to get the integral.

sec^2(pix/4) dx

3t dt

4. the differentiat

sin x^5

Thanks so much!