Which of the following functions are one-to-one?
Group of answer choices
f;[−3,3]→[0,3],f(x)=9−x2f;[−3,3]→[0,3],f(x)=9−x2
f;R→R,f(x)=x3f;R→R,f(x)=x3
f;[0,∞]→[0,∞],f(x)=x2f;[0,∞]→[0,∞],f(x)=x2
3. Given is the function f : Df → R with F(x1, x2, x3) = x 2 1 +
2x 2 2 + x 3 3 + x1 x3 − x2 + x2 √ x3 . (a) Determine the gradient
of function F at the point x 0 = (x 0 1 , x0 2 , x0 3 ) = (8, 2,
4). (b) Determine the directional derivative of function F at the
point x 0 in the direction given...
Which of the following utility functions is a Cobb-Douglas?
Group of answer choices
U(x,y) = ln(x) + 4y
U(x,y) = 2x + 4y
U(x,y) = ln(x) + 4ln(y)
U(x,y) = min{x, 4y}
None of the above
f(r,?)
f(x,y)
r(cos(?))
= x
r(cos(2?))
= ?
r(cos(3?))
=
x3-3xy2/x2+y2
r(cos(4?))
= ?
r(cos(5?))
= ?
Please complete this table. I am having trouble converting
functions from polar to cartesian in the three dimensional
plane.
I understand that x=rcos(?) and y=rsin(?) and r2 =
x2 + y2 , but I am having trouble
understanding how to apply these functions.
Let X = ( X1, X2, X3, ,,,, Xn ) is iid,
f(x, a, b) = 1/ab * (x/a)^{(1-b)/b} 0 <= x <= a ,,,,, b
< 1
then, find a two dimensional sufficient statistic for (a, b)
Which one of the following statements is INCORRECT?
Group of answer choices
Systematic risk of a security is equal to the value of its beta
coefficient
Market risk premium is the excess market rate of return over the
risk-free rate of return
Market yield from government bonds indicates the risk-free rate
of return
As per CAPM, the security risk premium is affected by the beta
coefficient of the security
Which one of the following is a current liability?
Group of answer choices
debt payable to a mortgage company in nine months
estimated taxes just paid
amount due to a supplier in 18 months
loan payment due in 13 months
amount due from a customer in 30 days
Which of the following statements is false?
Group of answer choices
One disadvantage of the corporate form is the double taxation of
profit.
A debenture is an unsecured debt with maturity longer than 10
years.
The primary goal of a publicly-owned for-profit corporation is
to maximize the value of stock.
As interest rate increases significantly, companies are more
likely to call the callable bonds they have issued.
Equity holders have a residual claim in the firm while creditors
have voting...
Which of the following statements is correct?
Group of answer choices
One disadvantage of forming a corporation is that equity
investors are usually exposed to less liability than they would be
in a partnership.
Corporations face more regulations than sole
proprietorships.
One disadvantage of operating a business as a sole proprietor is
that the firm is subject to double taxation, because taxes are
levied at both the firm level and the owner level.
It is generally less expensive to form...