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Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx, ln(x+1), and ln(x-4). Then find f '(x).


please show all work so i can understand Write f(x)=ln((x^2 square root(x-4)/(x+1)^3)) in terms of lnx,...
calculus 2 (please show all work so i can understand )
9. Given f(x) = (x-5)/(x2 - x-2) find a geometric power series for f(x). Hint: partial fractions.
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1. Find the means, medians, and SDs of each of the two variables (X and Y) in the chart below. Make sure to show all of your work (15 points; 7.5 points each)
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Simplify the following 1. cos(–3x) cos(-x) – cos (6 – 3x) sin(-x) cos (5 – ) - 1 2. 2 cos 3. sin12º – sin8°
1, describe the domain of f(x,y) =ln(xy)/square root (x+y).
.5LN 2= -LN | CSCX-COTX | +( LN ((SQUARE ROOT 2) +1|)). solve for X
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Problem 6. (10 points; 2 points for each subquestion) Let f(x) = x + - Answer the following questions. (1) Find the domain and range of f(x). (2) Find the critical points of f(x). (3) Find the intervals where f(x) is increasing, and intervals where f(x) is de- creasing. (4) Find the inflection points of f(x). (5) Find the intervals where f(x) is concave up, and intervals...
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2.95 V Question 27 How many Faradays are required to reduce 5g of aluminum (IIl) to aluminum metal? (1 point) 4Gce 0.31 F 0.56 F 1.48 F 3.84 F
Show ALL Work c), x+16% +63 = 0 D. Please Solve for x. For some problems, tell which results are the only solutions; or if there is no solution. a). .010.2x +.8)=.005% -1 b). {1x+5) = $ (3x +27) d) x ² 48²_9x+36=0 e). √x+21=8 f). Ý3x-9 =-6 g). √x+6 = x-6 h), biz * * -- I), X J. 1 3 3x - 1 + 1 = 2 / 4 K). 16 = 8 2x-1 2). 2 9 +...
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Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = In(3x-2) at (1,0) Find the derivative of the function, y = - 3xIn(x+1) Show all of your work on paper dy I dx Find the largest open intervals on which the function is 1. Increasing 2. Decreasing 3. Concave upward 4. Concave downward 3. find the location...