Answers submitted 0 12 correct correct answers 0 12

This preview shows page 15 - 18 out of 38 pages.

We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
College Algebra
The document you are viewing contains questions related to this textbook.
Chapter 2 / Exercise 73
College Algebra
Gustafson/Hughes
Expert Verified
Answer(s) submitted: 0 1/2 (correct) Correct Answers: 0 1/2 49. (1 pt) Consider the function f whose graph is shown below. This function is given by f ( x , y ) = ( 6 xy x 2 + y 2 , ( x , y ) 6 = ( 0 , 0 ) 0 , ( x , y ) = ( 0 , 0 ) (a) Find a formula for the single variable function f ( 0 , y ) . f ( 0 , y ) = What is f ( 0 , 0 ) for this function? f ( 0 , 0 ) = Find its limit as y 0: ım y 0 f ( 0 , y ) = (b) Based on your work in (a) , is the single variable function f ( 0 , y ) continuous? ?
(e) Finally, consider f along rays emanating from the origin. (Notice that this means that y = x is a contour of f. Be sure you can explain why this is.)
15
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
College Algebra
The document you are viewing contains questions related to this textbook.
Chapter 2 / Exercise 73
College Algebra
Gustafson/Hughes
Expert Verified
Find and simplify f on any ray y = mx . f ( x , mx ) = (Again, notice that this means that any ray y = mx is a con- tour of f; be sure you can explain why.) (correct) (f) Is f ( x , y ) continuous at ( 0 , 0 ) ? ? SOLUTION 50. (1 pt) f u ( 3 , π ) = D u f ( 3 , π ) = 759.94 (correct) 51. (1 pt) Suppose f ( x , y ) = p tan ( x )+ y and u is the unit vector in the direction of h 0 , 1 i . Then, 52. (1 pt) Suppose f ( x , y ) = 4 x 2 + y 2 and u is the unit vector in the direction of h- 3 , 2 i . Then, (c) f u ( 3 , π ) = D u f ( 3 , π ) = 16
(correct) Correct Answers: <-2*y/(xˆ2)*cos(2*y/x),2*x/(xˆ2)*cos(2*y/x)> <0.349066,-0.333333> -0.0111246 54. (1 pt) View the curve ( y - x ) 2 + 2 = xy - 3 as a contour of f ( x , y ) . (a) Use f ( 2 , 3 ) to find a vector normal to the curve at ( 2 , 3 ) .

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture