Can you please help me with the following questions fast

Name QUIZ 2 MATH 111, Fall 2021 October 4, 2021 1) and 2) Find the limit and determine if the function is continuous at the point being approached. 1) cos(5x - cos 5x) A) Does not exist; yes B) Does not exist; no C) 0; yes D) 0; no 2) sin (2x - sin 2x) A) 0; no B) does not exist; yes C) Does not exist; no D) 0; yes 3) Can the Intermediate Value Theorem be applied to fix) = -9+10 - 6x +7=0 on [1, 2]? and is there a root there? A) yes and yes B) yes and no C) no and yes D) no and no 4) Can the Intermediate Value Theorem be applied to fix) = 1/x on [-1, 1] ? and is there a root there? A) yes and yes B) yes and no C) no and yes D) no and no 5) Find the slope of y = , at x = 4 A) m= Bj m= - C) m = D) m=- 6) Find equations of all tangents to the curve f(x) = that have slope -1. A)y=-x+8 Bly=x+8, y=x-8 C) y=x - 8 D)y=-x +8, y = -x - 8 7) A balloon used in surgical procedures is cylindrical in shape. As it expands outward, assume that the length remains a constant . Find the rate of change of surface area with respect to radius when the radius is (Answer can be left in terms of a). A) 180.16x /mm B) 180 0x/mm C) 90.08x /mm D) 90.16x /mm 8) Find the derivative of y = + A) = + B) = + C = + D) =+