Select from the dropdown menus to identity the secant line and the tangent line at x = 2 for the graph of the function shown. Line "a" is the line, and line "b" is the line at x = 2. For the graph shown, estimate the slope of the tangent line at x = 1. Enter the answer in the hex. The slope of the tangent line at x = 1 is E. For f(x) = x + 2x, use the definition of the derivative f (x) = lim f(xth)-f(x) to find f '(x). h-0 h of' (x) = 2x - 2 of' (x) = 2x - 1 of'(x) = 4x - 1 of' (x) = 2x +2For the following graph of f(x), identify where f(x) is not differentiable and why. 4 - 2+ -5 -4 -2 -1 -4 - O f(x) is not differentiable at x = 0 because f(x) is not defined at x = 0. O f(x) is not differentiable at x = 0 because f(x) has a jump at x = 0. O f(x) is not differentiable at x = 0 because f(x) has a corner at x = 0. O f(x) is not differentiable at x = 0 because f(x) has a cusp at x = 0.For the following graph of x}, identify,r where fix} is not differentiable and why. {3' fix} is not differentiable at x = 1 because ffx} has a jump at x = 1. 0 fix} is not differentiable at x = 1 because x} is not defined at x = 1. {3' fix) is not differentiable at x = 1 because x} has a cusp at x = 1. [3 fix) is not differentiable at x = 1 because x} has a corner at :u: = 1. Is the graph of f(x) shown continuous at x = 0? Is it differentiable at x = 0? AY 4+ 2+ X -2 -4 O f(x) is not continuous at x = 0 and f(x) is differentiable at x = 0. O f(x) is not continuous at x = 0 and f(x) is not differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is not differentiable at x = 0. O f(x) is continuous at x = 0 and f(x) is differentiable at x = 0.Use the graph of f (x) shown to find the graph of f '(x). 16 X -10 - 5 O 10 16+ AY AY 16 16+ 8 + 8+ X O -10 10 O -10 10 AY AY 16+ 16+ 8+ X O -10 -5 10 O -10 5 10 16 -16+Use the graph of f '(x) shown to identify a possible graph of f(x). AY 32 - 16- X -10 5 10 -16- -32 + AY LY 32 + 32 16 16 X O -10 10 X 16- O -10 10 -16 -32 -32 Created with a trial version of Advanced Grapher - http://www.alentum.com/agr LY 32- 32 16 16 O X -10 10 O X in - -16 - -10 10 16 32 32Use the graph of f '(x) shown to identify a possible graph of f(x). AY 207 15 10- 5 -5-4.5-4 -3.5-3 -2.5 -2 -1.5 -1 -0.54 0.5 1 15 2 25 3 3.5 4 4.5 5 X 15- 20 LAY 20- 15 + AY To+ 207 5 15 O X 10- 5 -4.5-4 -3.5-3 -25 -2 -1.5 -1 -0.54 05 1 1.5 2 2.5 3 3.5 4 4.5 5 5- -10+ 5-4.5-4 -35-3-2.5-2 -1.5-1 -0.5 0.5 1 1.5 2 25 3 35 4 4.5 5 X -15+ -20 + -10+ 15- 20+ AY 20- 15 AY 10+ 207 15 O 5 -4.5-4 -35-3 -25-2 -1.5 1 -0.54 0.5 1 1.5 2 25 3 35 4 4.5 5 X 10 5- -10 O 5-4.5-4 -35-3 -25-2 -1.5-1 -0.54 0.5 1 1.5 2 25 3 35 4 45 5 X 15 -20- -10 15 -20-2 Find the equation of the tangent line to the euwejxx) = it? 3.1: at): = 1. Enter the answer in the hex. T0?) = E Find the equation of the tangent line to the euweffil) = X3 + 3 at x = 1. Enter the answer in the hex. T0?) = E Find the equation of the tangent line to the eunrex) = x2 + 1 at x = 0. 0 T0?) = 1 {3: Tbs) = (X +1) {3: Tbs) = (X 1) {3: Tbs) = 1 Find the equation of the tangent line to the curvef (x) = 2x - x at x = 2. O T(x) = 14 + 23(x - 2) O T(x) = 16 + 24(x - 2) O T(x) = 14 - 23(x - 2) O T(x) = -14 +23(x - 2)Use a tangent line approximation to estimate the value of 14.2. Enter the answer in the box. Round the answer to two decimal places.Use a tangent line approximation to estimate the value of 19.2. Enter the answer in the box. Round the answer to four decimal places.A differentiable function has the value y(2) = 4 and the derivative value 3:12) = 3. Approximate the value of y(2.1). Q 3.? O 3.75 O 3.8 O 3.85 Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Ad Height (m) 10 Time (sec) meters per secondIf pesitien is given harp") = I2 + 1, what is the velocity, sit}, at t = 2. E meters per second A person is standing and throws a ball into the air at time t = O and from a height of two meters. The graph shows the height of the ball over time. The function shown ist) = (i' 3)2 + 11. 12 10 8 B 4 2 Distance (m) Time (3) What is the instantaneous velocity of the ball at t = 3'? (3' 1 m/s (3' 0 m/s 0 1 m/s (3' 11 me Given the graph of velocity, wit}, which graph describes the acceleration of the function? Time (a) If v(t) = 2t + 1, the velocity of an object over time, what is the acceleration of the object at t = 1? O 2 m/s2 O 2x m/s2 O 1 m/s2 O -2 m/s2An object is thrown at time t = 0. The height of the object is shown in the graph. Ad 127 Distance (m) --J+ 5 6 Time (8) What is the speed of the object at t = 4? 0 -4 m/s 0 -2 m/s O 2 m/s O 4 m/s