This is the cases. If there is not given
with respect to which variable we have to differentiate then the
general form of case 1 is most appropriate. Also case 3 is partial
derivative. Thank you
Consider the production function Q = f(x,y) = xy^2.
(a) Totally differentiate this production function.
(b) While holding output constant, solve for dy/dx. What is the
economic interpretation of this term?
(c) Differentiate once more with respect to x solve for d
dx(dy/dx). What is the economic interpretation of this term?
(d) Evaluate the marginal products. Are they positive?
Diminishing?
(e) Evaluate the convexity of isoquant. Does it or does it not
contradict with the properties found in previous part?...
a.) Show that the DE is exact and find a general solution
2y - y^2sec^2(xy^2)+[2x-2xysec^2(xy^2)]y' = 0
b.) Verify that the equation is not exact. Multiply by
integrating factor u(x, y) = x and show that resulting equation is
exact, then find a general solution.
(3xy+y^2) + (x^2 + xy)dy/dx = 0
c.) Verify that the equation is not exact. Multiply by
integrating factor u(x, y) = xy and show that resulting equation is
exact, then find a general solution....
2.) (12 pts.) Show that F = ( xy/(1+x^2y^2) + 1 + arctan(xy))i+
(x^2/(1+x^2y^2-1)j is a conservative vector field. Then use the
Fundamental Theorem for Line Integrals to find the Work done by F
from point (0,0) to point (2, 1/2).
1. Differentiate between the insurance of indemnity and
compensation
2. With vivid examples, differentiate between a debtor and a
creditor as it affects the mortgage.
3. Discuss the meaning of Bankruptcy
a. What are the types of bankruptcy
b. In Canada, what type of court handles bankruptcy matters
and why
The only solution to the equation x^2 − xy + y^2 = 0 is the
origin. Prove that statement is
true by converting to polar coordinates. To be clear, you need to
show two things:
a. The origin is a solution to the equation (easy).
b. There is no other point which is a solution to the equation (not
easy).
Differentiate between a primary and a secondary immune
response.
2- Define hypersensitivity.
3. Differentiate between numeral and cellular immunity.
4. What accounts for the declining efficiency of the immune
system with age?
5. How do insufficient or overactive immune responses create
problems?
6. How are the innate and adaptive immune reponses
intertwined?
7. Describe the functions of the different parts of the innate
immune response?
8. Give the four key characteristics of the adaptive immune
response.
9. Describe B and...
a) U = xy b) U = (xy)^1/3 c) U = min(x,y/2) d) U = 2x + 3y e) U
= x^2 y^2 + xy
4. All functions except c) are differentiable. Do these
functions exhibit diminishing marginal utility? Are their
Marshallian demands downward sloping? What can you infer about the
necessity of diminishing marginal utility for downward- sloping
demands?