Question

Which of the following (horizontal) planes is tangent to the surface z=x2+2xy−y2+6x+6y+3z=x2+2xy−y2+6x+6y+3?

Select one:

a. z=-4

b. z=-5

c. z=-8

d. z=-6

e. z=-7

f. z=-3

Answer #1

find the tangent plane to the surface x^2 + 2xy + z^3 = 4 at point
P (1,1,1)

2.1
Calculate the tangent plane to the following surfaces in the
given point
(a) x2 + y2 = 2, P = (1.1, a), where a is
any number.
(b) z = √x2+y2, P = (3, 4, 5). (Does the
surface have a key plane in origin?).
(c) z = 1.

2.1
Calculate the tangent plane to the following surfaces in the
given point
(a) x2 + y2 = 2, P = (1.1, a), where a is
any number.
(b) z = √x2+y2, P = (3, 4, 5). (Does the
surface have a key plane in origin?).
(c) z = 1.

1)
If z=Ln(x2+y2 ) , x=e-1
,y=et the total derivative dz/dt will
become--------------
Select one:
A. dz/dt=2x/x2+ y2 . (-e-t) -
2x/(x2+ y2 ). et
B. dz/dt=2x/x2+ y2 .
(-e-t)+2x/(x2+ y2 ).
e-t
C. dz/dt=2x/x2+ y2 .
(-e-t)+2x/(x2+ y2 ).
et
D. dz/dt=2x/x2+ y2 .
(e-t)+2x/(x2+ y2 ).
et
2)
The second order partial derivative with respect to x of
f(x,y)=cos(x)+xyexy+xsin(y) is-------------
Select one:
A. ∂/∂x(∂f/∂x) = 2y2exy +
xy3exy
B. ∂/∂x(∂f/∂x) = −cos(x) + 2y2exy +
xy3exy + sin(y)...

The equation 4 = 2xy^3 - xyz is a level surface in
3-dimensional space. A person is standing on this surface, at the
point (1, 2, 6).
a. Write the function f for which the above surface is a level
surface, and find the gradient of this
function f. What meaning does the gradient have for the
person?
b. Find an equation for the tangent plane to this surface at
the point (1, 2, 6).
c. Find the equations of...

NEED ANSWERS ASAP PLEASE
Part II. Multiple Choice:
6. If y2 – 8y +7 = 0, what are the possible values of
y?
A. -1 and -7
B. -1 and 7
C. 1 and -7
D. 1 and 7
7. What is the simplest form of (√3 + √z) (√3 - √z)
A. 3 - 2√z
B. 3 - 2√3z
C.3 – z
D.3z
8. Which of the
following describes how these two inequalities will look when
graphed together?
2y -...

Question 1
What is the vertex of f(x) = x2 + 3x + 2?
Select one:
a. 7
b. (0, 2)
c. (-3/2, -1/4)
d. -3/2
e. None of these
Question 2
What is the exact value of sin (22.5 degrees)?
Select one:
a. .383
b. sqrt (2)
c. sqrt ((2 – sqrt(2)) / 2)
d. sqrt ((2 + sqrt (2)) / 4)
e. Impossible
Question 3
Solve the system: 2x + 3y = 7, 3x - 5y = 1...

Consider the following line integral of the conservative vector
ﬁeld: ZC(y2 sinz−z)dx + 2xy sinz dy + (xy2 cosz−x)dz where C is the
contour given by r(t) = ht3,2t2 −1,πti, 0 ≤ t ≤ 1/2. a. [4] Find
the potential f of the vector ﬁeld satisfying the condition
f(1,1,0) = 0. b. [5] Compute the line integral.

1. The derivative of y=e−6x+sin3xy=e−6x+sin3x is
________
2. The derivative of y=e512x+sec18xy=e512x+sec18x is
________
3. The derivative of y=x4sin8x+8xcos20xy=x4sin8x+8xcos20x is
_____
4. Find the average rate of change of the function
f(x)=x2−2f(x)=x2−2 over the interval [−2,3]
5. Find the derivative of the function y=37x3−23xy=37x3−23x when
x=8x=8.
6. Find the derivative of the function y=6x+78x+2y=6x+78x+2 at the
point (2,3)(2,3).
7. Find the derivative of the function y=4x+59x+

1.What is the oxidation number of
Mn in the following coordination compound?
Li[Mn(NH3)2Br4]
Select one: a. 5 b. 7 c. 2 d. 4
e. 6 f. 3
Question 2: What is the oxidation
number of Mn in the following coordination compound?
[MnCl6]Cl
Select one: a. 4 b. 7 c. 2 d. 6
e. 3 f. 5
Question 3 What is the
coordination number of Fe in the following coordination compound?
[Fe(en)3]SO4
Select one: a. 4 b. 3 c. 5 d....

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