Lemma

Multivariable Calculus · Chapter 4 of 9

Gradient & optimization

5 curated · 27 from open sources

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Curated

5
#TitleDifficultyTags
147The direction of steepest ascentEasyGradient
323Steepest climbEasyGradient & optimization
325Lowest point of a bowlEasyGradient & optimization
326Saddle, peak or valley?EasyGradient & optimization
327Fixed sum, biggest productEasyGradient & optimization

From open sources

27

Showing everything, including problems with no answer to check, a missing figure, or a near-copy elsewhere. Show only complete problems

#TitleDifficulty
134998… (point source at the origin)Easy
134999… (line source along … axis)Easy
135000… (dipole)Easy
135001For … find the steepest direction and the level direction atEasy
135004What is the gradient ofEasy
135005Easy
135006Easy
135007Easy
135008… (careful)Easy
135009(Looking ahead) At a point where … is a maximum, what is…Easy
135010(a) Check by dot products that the normal and uphill and level…Easy
135011Compute the … vectors for … and draw them at a point…Easy
135012Compute the … for … and draw them at a typical point…Easy
135055A box has a corner at … and all edges parallel to…Easy
135056(Straight line fit, Section 11.4) Find … and … to minimize the…Easy
135057(Least squares) What numbers … come closest to satisfying the three equations…Easy
135059Minimize … in the regions (a) all … (b) … (c)Easy
135060Maximize and minimize … on the circleEasy
135003True or false, when … is any smooth function: (a) There is…Easy
135054A rectangle has sides on the … and … axes and a…Easy
135058Minimize … restricted by (a) … (b) … (c) … andEasy
134993The instruction for this exercise is printed above it in the book…Easy
134994The instruction for this exercise is printed above it in the book…Easy
134995The instruction for this exercise is printed above it in the book…Easy
134996The instruction for this exercise is printed above it in the book…Easy
134997The instruction for this exercise is printed above it in the book…Easy
135002Example 2 claimed that … has steepest slopeEasy