Test Content Question 1 10 Points Write the equation of the tangent to the parabola y=4x that makes an angle of 450 with the x axis A y=x- 1 B y=x+7 C) D y=x- 5 E) yEx+5 Question 2 10 Points Each of two tangents to the circle x2 + y? =25 has a slope Find the points of contact. A) (-3, -4) and (3 , 4) B) (3, -3) and (4 , - 4) c) (-4, -3) and (4, 3) D (4, -3) and (-4 , 3) E) (3, -4) and (-3 , 4)Question 3 10 Points Find the maximum and minimum points for the implicit relation 4x2+ 9y-=36 (1 , 2) max A (0, -2) min B (0 , 2) max (0, -2) min C (0 , 2) min (0, -2) max D (0 , 2) max (1 , -2) min E) None of the above Question 4 10 Points The curve y=2x3- 6x- - 2x+ 1 has two tangents, each of which is parallel to the line 2x +y= 12. Find their Equations. (A -2xty-1=0 and - 2xty+7=0 B 2x - y - 1=0 and 2x-y+7=0 C 2rty - 1=0 and 2x+y+7=0 D -2x+y+ 1=0 and - 2x+y-7=0 (E 2rty+ 1=0 and 2x+y- 7=0/ QUESTIONS REMAINING Question 5 10 Points Find the maximum, minimum, and inflection points for the following function y=x - 4x3 (3 , - 27) min A (0 , 0) inflection Point (2 , - 16) max (3 , - 27) min B (0 , 0) Inflection Point (2 , - 16) Inflection Point C None of the Above (3 , -27) min D (0 , 0) max (2, -16) Inflection Point (3 , -27) Inflection Point E (0 , 0) max (2, - 16) minQuestion 6 10 Points State whether the curve y= - 2x-2/x+2 is concave upward or concave downward at X= - and why? - 3.03 since the second derivative y "changes signs from positive to A Has an Inflection Point at negative near x = B Concave Upward since the first derivative C Concave Upward since the second derivative D Concave Downward since the second derivative 1