Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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- Your email address will be recorded when you submit this form. Not 11931741@students.liu.edu.lb? Switch account Required MCQS Let f(x, y) = 3 + In(7 – x² – y²). Then the range of f is: O 1-3+In7] O -In7[ None of thesearrow_forwardLet f(x) = x² – 6x – 7 and F(x) = f(t) dt. Find the critical points of F and determine whether they are local minima or local maxima. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) local minima: local maxima: Find the point(s) of inflection of F. (Give your answer in the form of a comma-separated list. Express numbers in exact form. Use symbolic notation and fractions where needed.) point(s) of inflection:arrow_forwardNOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for ∞ and '-INF' for −∞. And use 'U' for the union symbol.Enter DNE if an answer does not exist. f(x)=x^4/4−3x^3+3 a) Determine the intervals on which f is concave up and concave down.f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x,y)). (Separate multiple answers by commas.) c) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates.Relative maxima at: (Separate multiple answers by commas.)Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f′(x) has a relative maximum or minimum.f′ has relative maxima at: (Separate multiple answers by commas.)f′ has relative minima at: (Separate multiple answers by commas.)arrow_forward
- Please use the function to answer the question.arrow_forwardNO TE: When using interval notation in WeBWork, remember that: You use 'INF' for oo and '-INF' for -o. And use 'U' for the union symbol. Enter DNE if an answer does not exist. f(x) = x³ + 4.5x² 12л — 1 a) Determine the intervals on which f is concave up and concave down. f is concave up on: f is concave down on: b) Based on your answer to part (a), determine the inflection points of f. Each point should be entered as an ordered pair (that is, in the form (x, y). (Separate multiple answers by commas.) C) Find the critical numbers of f and use the Second Derivative Test, when possible, to determine the relative extrema. List only the x-coordinates. Relative maxima at: (Separate multiple answers by commas.) Relative minima at: (Separate multiple answers by commas.) d) Find the x-value(s) where f' (x) has a relative maximum or minimum. f' has relative maxima at: (Separate multiple answers by commas.) f' has relative minima at: (Separate multiple answers by commas.)arrow_forwardLet z(x, y) = 6 In( – 17y? + 172). Indicate the range of z using interval notation. Note: To answer 'infinity', use 'oo' (double o without quotes)arrow_forward
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