Math 126 Midterm 1 Exam || Most Recent Exam 2026
-2027 Actual Complete Real Exam Questions And Correct
Answers (Verified Answers) Already Graded A+ |
Guaranteed Success!! Newest Exam || Just
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Level Curves - ANSWER-- the level curves of a function f of
two variables are
the curves with equation f(x,y)=k, where k is a constant (in
the range of f)
- pick k (z) values which are equally
spaced
Sketch the level curves of the function f(x,y)=6-3x-2y for
the values k = -
6,0,6,12. - ANSWER-6-3x-
2y = k
y = 3 - (3/2)x -
(k/2)
k = -6: y = (-
3/2)x+9 k = 0: y
= (-3/2)x+3 k = 6:
y = (-3/2)x
k = 12: y = (-3/2)x - 3
, all have same slopes; parallel lines graph of f is a plane
Level curves: closer and farther - ANSWER--
closer = steeper
- farther =
flatter
fx(x,y) = - ANSWER-y is a constant; differentiate with respect to
x
fy(x,y) = - ANSWER-x is a constant; differentiate with respect to
y
Visualize fx - ANSWER-1) set y const curve = to number
2) have that y const curve intersect the shape
3) line tangent to curve which is intersected tells you + or -
Visualize fy - ANSWER-1) set x const curve = to number
2) have that x const curve intersect the shape
3) line tangent to curve which is intersected tells you + or -
∂z/∂x - ANSWER-- differentiate implictly with
respect to x
- treat y as
constant
∂z/∂y - ANSWER-- differentiate implictly with
respect to y
-2027 Actual Complete Real Exam Questions And Correct
Answers (Verified Answers) Already Graded A+ |
Guaranteed Success!! Newest Exam || Just
Released!!
Level Curves - ANSWER-- the level curves of a function f of
two variables are
the curves with equation f(x,y)=k, where k is a constant (in
the range of f)
- pick k (z) values which are equally
spaced
Sketch the level curves of the function f(x,y)=6-3x-2y for
the values k = -
6,0,6,12. - ANSWER-6-3x-
2y = k
y = 3 - (3/2)x -
(k/2)
k = -6: y = (-
3/2)x+9 k = 0: y
= (-3/2)x+3 k = 6:
y = (-3/2)x
k = 12: y = (-3/2)x - 3
, all have same slopes; parallel lines graph of f is a plane
Level curves: closer and farther - ANSWER--
closer = steeper
- farther =
flatter
fx(x,y) = - ANSWER-y is a constant; differentiate with respect to
x
fy(x,y) = - ANSWER-x is a constant; differentiate with respect to
y
Visualize fx - ANSWER-1) set y const curve = to number
2) have that y const curve intersect the shape
3) line tangent to curve which is intersected tells you + or -
Visualize fy - ANSWER-1) set x const curve = to number
2) have that x const curve intersect the shape
3) line tangent to curve which is intersected tells you + or -
∂z/∂x - ANSWER-- differentiate implictly with
respect to x
- treat y as
constant
∂z/∂y - ANSWER-- differentiate implictly with
respect to y
