LARSON CALCULUS Ch07 Functions of Several Variables

1. Find ithe icoordinates iof ithe ipoint ithat iis ilocated itwo iunits ibehind iof ithe iyz-plane, iseven iunits ito ithe ileft iof ithe ixz-plane, iand ifour iunits iabove iof ithe ixy-plane. A) B) C) D) E) Ans: A 2. Find ithe ithe idistance ibetween ithe itwo ipoints i iand i . A) 1 iunits B) 11 iunits C) units D) i3 iunits E) 5 iunits Ans: C 3. Find i iif ithe imidpoint iof ithe iline isegment ijoining ithe itwo ipoints i iand i iis i . A) B) C) D) E) Ans: E 4. Find ithe ilengths iof ithe isides iof ithe itriangle iwith ithe igiven ivertices, iand idetermine iwhether ithe itriangle iis ia iright itriangle, ian iisosceles itriangle, ior ineither. A) ; i iobtuse itriangle B) ; i iright itriangle C) ; i iright itriangle D) ; i iacute itriangle E) ; i iacute itriangle Ans: B 5. Find ithe icenter iand iradius iof ithe isphere. A) Center: i Radius: i i B) Center: i Radius: i C) Center: i Radius: i D) Center: i Radius: i E) Center: i Radius: i Ans: A 6. Find ithe istandard iequation iof ithe isphere iwhose icenter iis i iand iwhose iradius iis i4. A) B) C) D) E) Ans: A 7. Find ithe iequation iof ithe isphere ithat ihas ithe ipoints i iand i ias iendpoints iof ia idiameter. A) B) C) D) E) Ans: D 8. Find ithe icenter iand iradius iof ithe isphere iwhose iequation iis i . iRound iyour ianswer ito itwo idecimal iplaces, iwhere iapplicable. A) center: ; iradius: i2.89 B) center: ; iradius: i2.89 C) center: ; iradius: i8.35 D) center: ; iradius: i2.89 E) center: ; iradius: i8.35 Ans: B 9. Sketch ithe iyz-trace iof ithe iequation: A) B) C) D) E) Ans: B 10. Sketch ithe itrace iof ithe iintersection iof iplane iz i= i4 iwith ithe isphere: . A) B) C) D) E) Ans: D 11. Find ithe iintercepts iof ithe iplane igiven iby i . A) The -intercept iis . The -intercept iis . The -intercept iis . B) The -intercept iis . The -intercept iis . The -intercept iis . C) The -intercept iis . The -intercept iis . The -intercept iis . D) The -intercept iis . The -intercept iis . The -intercept iis . E) The -intercept iis . The -intercept iis . The -intercept iis . Ans: A 12. Sketch ithe igraph iof ithe iplane igiven iby iy 5. A) B) C) D) E) Ans: B 13. Find ithe iintercepts iof ithe iplane igiven iby i . A) The -intercept iis . The -intercept iis . B) The -intercept iis . The -intercept iis . C) The -intercept iis . The -intercept iis . D) The -intercept iis . The -intercept iis . E) The -intercept iis . The -intercept iis . Ans: E