Chapter 4.2, Problem 14E

ACTIVITY 3: Think More! 1. Find the equations of the two tangent lines to f(x) = x2 that pass through the point (-1,3), a point not on the graph of f. (Hint: Sketch the scenario first.) **Use GeoGebra or Desmos graphing calculator for easier sketching of graphs.

Sketch the curve r = sin 30. First fill in the table of r-values be- low and plot the corresponding points of the curve. Notice that the three petals of the curve correspond to the angle intervals [0, ]. [§. 4). and [,7]. Then plot r = sin 30 in rectangular coordinates and label the points on this graph corresponding to (r, 0) in the table. 57 12 6 4 3 12 12

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Point F' is the image of point F when it is reflected off the line x = -2 then reflected on the line y = 3. The coordinates F' are (3,7).Which of the following represents the position of point F? 206/5000 Historial Guar 1,430 14 ENE. 20 MacBc 80 000 000 F1 F2 F3 F4 F5

The figure shows the graphs of three functions: f, f', and f". Identify each curve and write which of the a), b) or c) they represent: f = f' f" a 8. 10

In exercises 57-60, find an equation of the tangent line to the graph of the equation at the given point. question 59, please explain as detail as possible, thank you.

True or false

Exploin how 가 done step by is step i :) Finding the criticol points of fonetion and clossi fying them second derivative test Vio

Question 4 At what point of the curve y= cosh x does the tangent line have slope 9? O a. (In(\/7). /82) O b.(in(/87), /82) O In[9+/87), /82) O d. (9, /87) O e (9+ /87), – /82)