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47. [-/0.24 Points] DETAILS LARCALCET7 2.3.020. 0/6 Submissions Used Find the limits. f (x) = x+ 3 g(x) = x2 (a) lim f(x) = x - 1 (b) lim g(x) = X - (c) lim g(f(x)) = x - 1 Need Help? Read It 48. [-/0.24 Points] DETAILS LARCALCET7 2.3.017. 0/6 Submissions Used Find the limit. 8r lim Vax + 7 Need Help? Read It Watch It5?. [40.24 Points] | DETAILS I LARCALCET72.3.022. DIE Submissions Used L Find the limits. x) = sz 3x+ 15, g(x) = 3V'Jr+ 3 (a) :3; x) = E (b) XII}; mm = S (c) "m mm = E X_'3 Need Help? _ 58. [40.24 Points] DETAILS LARCALCETT 2.3.043. DIE Submissions Used I: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) 3 |im x 64 x4 x4 |:| Write a simpler function that agrees with the given function at all but one point. Use a graphing utility to conrm your result. 90!) = 60. [-/0.24 Points] DETAILS LARCALCET7 2.3.049. 0/6 Subm Find the limit. (If an answer does not exist, enter DNE.) x - 3 lim x- 3 x- - STEP 1: Factor the denominator. X - 3 lim 3(x+ 3 x - STEP 2: Simplify. 1 lim x-3 x+ STEP 3: Use your result from Step 2 to find the limit. x - 3 lim x-3x4 - 9 Need Help? Read It 61. [0.6/0.6 Points] DETAILS PREVIOUS ANSWERS LARC11. [-/0.71 Points] DETAILS LARCALCET7 3.1.037. MY N Find an equation of the line that is tangent to the graph of f and parallel to the given line. Function Line f ( x ) = _ _ 1 xty =0 12 y= Need Help? Read It Watch It12. [IBJ'I Points] DETAILS LARCALCET? 3.1.031EP. Consider the following. Find the slope of the given llne. slope = E Determine the slope of any line parallel to the given line. slope = E Find f'[x)- Find the point on x) where the tangent line Is parallel to the given llne. m=(S> Find an equation of the line tangent to the graph of x] and parallel to the given line. 13. [4171 Points] DETAILS LARCALCET? 3.1.039. E Flncl an equation of a line that Is tangent to the graph of fend parallel to the glven line. Function Line x)=x3 3xy+?'= l' = {larger yIntercept) Y = |:| [smaller yIntercept} Need Help? Consider the following. Function Line f( x ) = x3 12x - y + 8 = 0 Find the slope of the given line. slope = Determine the slope of any line parallel to the given line. slope = Find f'(x). f' ( x) = Two lines are tangent to the graph of f(x) and parallel to the given line. Find the point of tangency for each line. ( x, y ) = (smaller x-value) ( x, y ) = (larger x-value) Find equations for the two lines tangent to the graph of f(x) and parallel to the given line. (smaller y-intercept) y= (larger y-intercept)20. [0.07/0.71 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 3.2.054.MI.SA. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Find the derivative of the function. 4 f (x ) = 3/x + 8cos x Step 1 Rewrite the function f(x) using an exponential expression for the radical. -1/3 f(x) = 4x 2 X + 8cos x Step 2 Use the rule of sum of derivatives to differentiate the separate terms of f(x)