consider F(x)=x^2+x^4 on [-1,1]
1. Express R6 and M6 in sigma notation.
2. Express the area...
consider F(x)=x^2+x^4 on [-1,1]
1. Express R6 and M6 in sigma notation.
2. Express the area underneath curve f(x)= X^2 + X^4 from [-1,1]
, as a limit of sums
Estimate
f(2.1, 3.8)
given that
f(2, 4) = 6, fx(2, 4) = 0.2, and fy(2, 4)...
Estimate
f(2.1, 3.8)
given that
f(2, 4) = 6, fx(2, 4) = 0.2, and fy(2, 4)
= −0.3.
f(2.1, 3.8) ≈
Let X be a random variable with the probability density function
fx(x) given by:
fx(x)=
1/4(2-x),...
Let X be a random variable with the probability density function
fx(x) given by:
fx(x)=
1/4(2-x), 0<x<2
1/4(x-2), 2<=x<4
0, otherwise.
Let Y=|X-3|. Compute the probability density function of Y.
If f(x, y) = 49 − 7x2 − y2 , find fx(1, 2) and fy(1, 2)...
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) =
Find the values of a function f(x) if
f(x) = 2x + 5, for
f(2), f(4),...
Find the values of a function f(x) if
f(x) = 2x + 5, for
f(2), f(4),
f(k), and f(x2 +
2)
The difference quotient of a function is given by:
limh0f(x)
fx+h-f(x)h . Find the
difference quotient of, f(x) = 2x + 3 and f(x) = x2 +
2
a. Prove that h(x) and k(x) are inverses of each other when
h(x) =x+213 and k(x) = 3x + 21
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...
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...