Hello Tutor Urgent Help Needed with the Calculus Question in the Pictures Below. Solution needed, Thank You!

Where does sin x have a horizontal tangent line? Where does cos x have a value of zero? Explain the connection between these two observations. At what values of x does sin x have a horizontal tangent line? O A. 0, +1, 121,.. 2x OB. 17. . II... OC. 17. OD. 15. At what values of x does cos x have a value of zero? OA. 17. OB. 15. I... 3x OC. +7. 4 OD. 0, 1x, + 2x.... What is the connection between these two observations? O) A. The values are different because the function cos x is not the derivative of sin x and the slope of a horizontal tangent line is equal to zero. Q) B. The values are the same because the function cos x is the derivative of sin x and the slope of a horizontal tangent line is equal to zero. O) C. The values are different because the function cos x is the derivative of sin x and the slope of a horizontal tangent line is never equal to zero O D. The values are the same because the function cos x is the derivative of sin x and the slope of a horizontal tangent line is never equal to zero3x Use the Quotient Rule to find g'(1) given that g(x) = x+2 g'(1) = (Simplify your answer.)Use the graph of g in the figure to do the following. a. In the interval (- 1,7), g is not continuous at x = a. Find the values of x in ( - 1,7) at which g is not continuous. (Use a comma to separate answers as needed.) b. Find the values of x in ( - 1,7) at which g is not differentiable. b. In the interval ( - 1,7), g is not differentiable at x = (Use a comma to separate answers as needed.) 16-A projectile is fired vertically upward into the air; its position (in feet) above the ground after t seconds is given by the function s(t) shown below. Use limits to determine the instantaneous velocity of the projectile at t= a seconds for the given value of a s(1) = - 16t- + 68t; a = 2 The instantaneous velocity at t = 2 isDetermine a value of m (if possible) for which f is continuous at x = 3. mx - 9 if x