Question

Estimate

f(2.1, 3.8)

given that

f(2, 4) = 6, f_{x}(2, 4) = 0.2, and f_{y}(2, 4)
= −0.3.

f(2.1, 3.8) ≈

Answer #1

If f(x, y) = 49 − 7x2 − y2 , find fx(1, 2) and fy(1, 2) and
interpret these numbers as slopes. fx(1, 2) = fy(1, 2) =

part 1)
Find the partial derivatives of the function
f(x,y)=xsin(7x^6y):
fx(x,y)=
fy(x,y)=
part 2)
Find the partial derivatives of the function
f(x,y)=x^6y^6/x^2+y^2
fx(x,y)=
fy(x,y)=
part 3)
Find all first- and second-order partial derivatives of the
function f(x,y)=2x^2y^2−2x^2+5y
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 4)
Find all first- and second-order partial derivatives of the
function f(x,y)=9ye^(3x)
fx(x,y)=
fy(x,y)=
fxx(x,y)=
fxy(x,y)=
fyy(x,y)=
part 5)
For the function given below, find the numbers (x,y) such that
fx(x,y)=0 and fy(x,y)=0
f(x,y)=6x^2+23y^2+23xy+4x−2
Answer: x= and...

Let f(x,y)=e^(−5x)sin(3y).
(a) Using difference quotients with Δx=0.1 and Δy=0.1, we
estimate
fx(3,2)≈
fy(3,2)≈
(b) Using difference quotients with Δx=0.01 and Δy=0.01, we find
better estimates:
fx(3,2)≈
fy(3,2)≈

Find all second partial derivatives of f : ?(?, ?, ?) =
?^??^??^?
fx=
fy=
fz=
fxx=
fyy=
fzz=
fxy=
fxz=
fyz=

Number of Absences Grade
2 3.8
3 2.8
6 2.4
6 2.1
6 2
7 1.9
7 1.6
Step 1 of 5 :
Calculate the sum of squared errors (SSE). Use the values
b0=4.2309b0=4.2309 and b1=−0.3518b1=−0.3518 for the calculations.
Round your answer to three decimal places.
Step 2 of 5: Calculate the estimated variance of error
Step 3 of 5: : Calculate the estimate variance of slope
step 4 of 5: construct the 80% confidence interval for the
slope
lower...

Let f(x, y) = 2x^3y^2 + 3xy^3 4x^3 y. Find
(a) fx
(c) fxx
(b) fy
(d) fyy
(e) fxy
(f) fyx

Please find ALL second partial derivatives of f: fx, fy, fz,
fxx, fyy, fzz, fxy, fxz, and fyz
For ?(?, ?, ?) = (?^?)(?^?)(?^?)
THANK YOU

Consider the function f(x,y) = xe^((x^2)-(y^2))
(a) Find f(1,−1), fx(1,−1), fy(1,−1). Use these values to find a
linear approximation for f (1.1, −0.9).
(b) Find fxx(1, −1), fxy(1, −1), fyy(1, −1). Use these values to
find a quadratic approximation for f(1.1,−0.9).

x 4 5 6 7 8 P(X=x) 0.3 0.2 0.2 0.1 0.2
Step 2 of 5 : Find the variance. Round your answer to one
decimal place. Answer

Consider the following data:
x
2
3
4
5
6
P(X=x)
0.3
0.2
0.2
0.1
0.2
Step 1 of 5 : Find the expected value E(X). Round your answer to
one decimal place.

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