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1) Find the limit if it exists. x? - 7x+10 *+5 r + x - 30 a) lim tan x b) lim c) lim tan x In x x 0 2. Let f(x) = x° -18x' +4. a) Find the intervals on which f is increasing or decreasing, b) Find the local maximum and minimum values off. c) Find the intervals of concavity and the inflection points. d) Use the information from...
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1. Let f(x) = *** a) Find f-'(x), if it exits b) show that f(--(x)) = x c) Sketch NEAT graphs of both functions below, labeling their intercepts, asymptotes etc. y = f(x) y = f'(x) d) Write the intervals of the functions below Domain of f(x) Domain off-(x) Range of f(x) Range of f-'(x)
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Use implicit differentiation to the curve ex+2y = x + xy +5. Then find the slope of the curve at the point (-2,1).
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rarctanc 2. Given f(x) = 5. In |t| dt, find f'(x).
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5. Find all A = A such that A-A. 2x2
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Fall 2015 4
13 CHI C. aim
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Find the Ivesm s) of the general F(S)= IIS-los +100 Your answer should be a fonction of retns fom tncton 1 t( 2
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1. Determine the type of singularity of the function. If it is a pole, determine the order of the pole. (a) f(z) = 20 at z = 3 (b)f(x) = sinat z = 0.
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③ find the Thevenin hoerovk seen b Seeb the o 72V an load
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2. Write the co ordinate v in R (with usual basis) in terms of the given basis S answer. 3. Determine whether the set S-$3,x, x-x spans P. Explain your