Posted: August 12th, 2024

Divide numerator and denominator, Week_4_Cal, calculus homework help

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QUESTION 1Divide numerator and denominator by the highest power of x in the denominator to find the limit.does not exist9729812 points  QUESTION 2Find the domain of the function.all real numbers{x|x > 6}{x|x ≠ 6}{x|x ≥ 6}2 points  QUESTION 3Find the limit if it exists.4x12 points  QUESTION 4Solve the equation.x = {-4}{4}2 points  QUESTION 5Solve the equation.92x ∙ 27(3 - x) = {10}{-11}{-8}2 points  QUESTION 6Write as the sum and/or difference of logarithms. Express powers as factors.log55log5x + 6log5y5log5x - 6log5ylog56log5y - 5log5x2 points  QUESTION 7Write as the sum and/or difference of logarithms. Express powers as factors.log3log36 + log3xlog3 + log3log36xlog36 + log3x2 points  QUESTION 8Find the limit.does not exist11121±112 points  QUESTION 9Find the domain of the function.f(x) = {x|x ≤ }{x|x ≠ }{x|x ≠ 23}{x|x ≤ 23}2 points  QUESTION 10Express as a single logarithm.10loga2 + 7loga7loga(20 + 49)logaloga21077loga210 ∙ loga772 points  QUESTION 11Find the limit.-∞10∞2 points  QUESTION 12Divide numerator and denominator by the highest power of x in the denominator to find the limit.∞02 points  QUESTION 13Solve the equation.2x2 - 3= 64{3}{6}{, - }{3, -3}2 points  QUESTION 14Find the limit.0-∞∞Does not exist2 points  QUESTION 15Find the limit.(x3+ 5x2- 7x + 1)29does not exist1502 points  QUESTION 16Find the limit if it exists.(x +3)2(x - 3)325-31251-1252 points  QUESTION 17Find the limit.(3x5- 2x4+ 4x3+x2+ 5)57169411052 points  QUESTION 18Find the limit if it exists.-62-622 points  QUESTION 19Express as a single logarithm.6logam - logan + logaj - 5logaklogaloga loga loga 2 points  QUESTION 20Find the limit.0∞1-∞2 points  QUESTION 21Find the limit if it exists.x3/4256641922 points  QUESTION 22Divide numerator and denominator by the highest power of x in the denominator to find the limit.- -∞0- 32 points  QUESTION 23Divide numerator and denominator by the highest power of x in the denominator to find the limit.does not exist5251252 points  QUESTION 24Find the intervals on which the function is continuous.y =continuous everywherediscontinuous only when θ =-1discontinuous only when θ =discontinuous only when θ =12 points  QUESTION 25Find the limit.7Does not exist-∞∞2 points  QUESTION 26Find the domain of the function.g(x) = {x|x > 49}{x|x ≠-7, 7}all real numbers{x|x ≠ 0}2 points  QUESTION 27Find the domain of the function.f(x) = {x|x ≠ 0}{x|x ≠ -4}{x|x > -4}all real numbers2 points  QUESTION 28Find the intervals on which the function is continuous.y =continuous on the interval [-, ]continuous on the interval [, ∞)continuous everywherecontinuous on the intervals (-∞, -] and [, ∞)2 points  QUESTION 29Write as the sum and/or difference of logarithms. Express powers as factors.logwlogw7x logw11 +logwx + logw4logw11x -logw4logw11 +logwx - logw42 points  QUESTION 30Write as the sum and/or difference of logarithms. Express powers as factors.log4log4(x + 6) - 3log4xlog4(x + 6) + 3log4x3log4x -log4(x + 6)log4(x + 6) -log4x2 points  QUESTION 31Find the domain of the function.h(x) = all real numbers{x|x ≠-8, 0, 8}{x|x ≠ 0}{x|x ≠ 2}2 points  QUESTION 32Find the limit.-∞∞Does not exist52 points  QUESTION 33Write as the sum and/or difference of logarithms. Express powers as factors. log14log1419 ÷ log1417log1419 + log1419 log1419 - log1417 log1417 - log1419 2 points  QUESTION 34Find the limit.3-∞012 points  QUESTION 35Find the limit.-∞Does not exist∞02 points  QUESTION 36Find the limit.0∞-2 points  QUESTION 37Find the intervals on which the function is continuous.y =continuous on the interval continuous on the interval continuous on the interval continuous on the interval2 points  QUESTION 38Find the limit.∞-882 points  QUESTION 39Express as a single logarithm.6logbq - logbrlogblogb(q6 - r) logb logbq6 ÷ logbr 2 points  QUESTION 40Find the limit.-∞-∞52 points  QUESTION 41Express as a single logarithm.3log6x + 5log6(x - 6)15 log6x(x - 6)log6x(x - 6)15log6x3(x - 6)5log6x(x - 6)2 points  QUESTION 42Find the intervals on which the function is continuous.y =continuous everywherediscontinuous only when θ = 0discontinuous only when θ = πdiscontinuous only when θ =2 points  QUESTION 43Find the limit.-∞0∞-12 points  QUESTION 44Solve the equation.5-x= {3}{-3}2 points  QUESTION 45Find the limit.does not exist-012 points  QUESTION 46Express as a single logarithm.(logat - logas) + 5logaulogaloga logatu5s loga 2 points  QUESTION 47Find the intervals on which the function is continuous.y =continuous on the interval continuous on the interval continuous on the interval 2 points  QUESTION 48Find the limit if it exists.(x - 24)1/391-332 points  QUESTION 49Write as the sum and/or difference of logarithms. Express powers as factors. log5log514 +  log5x - log5y log5y - log514 -  log5x log514 ∙  log5m ÷ log5y log5(14) - log5y2 points  QUESTION 50Express as a single logarithm.logcx + logcylogc(xy) logcxy logcx ∙ logcy logc 

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