Question

The minimum value of f left parenthesis x comma y comma z right parenthesis equals x y z subject to the constraint x plus 9 y squared plus z squared equals 4 comma space x greater than 0 is obtained at open parentheses 2 comma negative 1 third comma negative 1 close parentheses.

Answer #1

The vector field F with rightwards arrow on top left parenthesis
x comma y right parenthesis equals open angle brackets s e c
squared x comma space 3 y squared close angle brackets is
conservative.
Find f left parenthesis x comma y right parenthesis such that F
with rightwards arrow on top equals nabla f .
a.
f equals 2 space s e c x plus 6 y
b.
f equals y tan x plus x y cubed...

Find the absolute maximum and absolute minimum for f left
parenthesis x right parenthesis space equals space fraction
numerator x over denominator x squared minus x plus 1 end fraction
on the closed interval between 0 and 3

Consider f left parenthesis x right parenthesis space equals
space 2 x e to the power of x Find the equation of the line tangent
to f left parenthesis x right parenthesis when x equals 0 y =
[A]

Match the following equation with its graph.
left parenthesis x minus 4 right parenthesis squared plus left
parenthesis y minus 3 right parenthesis squared equals
36(x−4)2+(y−3)2=36
Choose the correct graph below.
A.
-157-715xy
A coordinate system has a horizontal x-axis labeled from
negative 15 to 7 in increments of 1 and a vertical y-axis labeled
from negative 7 to 15 in increments of 1. A circle has center
(negative 4, 3) and radius 6.
B.
-157-157xy
A coordinate system has...

The function
f(x,y)equals=8 x squared plus y squared
has an absolute maximum value and absolute minimum value subject
to the constraint
x squared plus 7 y plus y squared=44.
Use Lagrange multipliers to find these values.

Use the Divergence Theorem to compute the net outward flux of
the field F equalsleft angle negative 4 x comma font size decreased
by 6 y comma font size decreased by 6 7 z right angle across the
surface S, where S is the sphere StartSet left parenthesis x comma
y comma z right parenthesis : x squared plus y squared plus z
squared equals 6 EndSet.

Estimate the area under the graph of f left parenthesis x right
parenthesis equals 5 x cubed f(x)=5x3 between x equals 0 x=0 and x
equals 1 x=1 using each finite approximation below. a. A lower sum
with two rectangles of equal width b. A lower sum with four
rectangles of equal width c. An upper sum with two rectangles of
equal width d. An upper sum with four rectangles of equal width

Suppose that Upper X has a discrete uniform distribution f
left-parenthesis x right-parenthesis equals StartLayout
left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals
1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random
sample of n equals 35 is selected from this population. Find the
probability that the sample mean is greater than 2.1 but less than
2.6. Express the final answer to four decimal places (e.g. 0.9876).
The probability is

Consider the following region R and the vector field F. a.
Compute the two-dimensional divergence of the vector field. b.
Evaluate both integrals in Green's Theorem and check for
consistency. Bold Upper F equals left angle x comma y right angle ;
Upper R equals left parenthesis x comma y right parenthesis : x
squared plus y squared less than or equals 9

A record club has found that the marginal profit,
Upper P prime left parenthesis x right parenthesisP′(x) ,
in cents, is given by
Upper P prime left parenthesis x right parenthesis equals
negative 0.0008 x cubed plus 0.35 x squared plus 52.9
xP′(x)=−0.0008x^3+0.35x^2+52.9x
for
x less than or equals x≤400 ,
where x is the number of members currently enrolled in the club.
Approximate the total profit when
240 members are enrolled by computing the sum
Summation from i equals...

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