Find the coordinates of the point
Employ Lagrange multipliers to find the coordinates of the point (x, y, z) on the plane z = 3 x + 4 y + 3 which is closest to the origin.
x =
y =
z =
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A vapor composed of 0.45 mole fraction ethanol and 0.55 mole fraction acetic acid at 120.0 mmHg (absolute), is in equilibrium with a liquid phase also composed of ethanol and acetic acid. Assume that the liquid is an ideal solution and apply Raoul
If the mortgage pool includes five 10% FRMs totaling $500,000, five 9% FRMs totaling $450,000 and ten 8% FRMs totaling $750,000, such that total value of the pool is $1.7M, what is the weighted average coupon (WAC) rate (in percent)?
Let A be the set of differentible functions. Illustrate a relation R by f R g if f'(x) = g'(x). Prove this is equivalence relation. Find/explain x2].
Assume that the stock pays dividends continuously at rate q>0 and the dividends are reinvested in the stock. Supposing that interest is compounded continuously at rate r, show that the no arbitrage forward price at time 0 is
The drawing shows uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 43° by a brace that is attached to a pin.
Assume that the lending rate r1 and the borrowing rate r2 are different for investors so that r1>r2. Show that the no arbitrage forward price F(0,T) satisfies
Determine the size of the required monthly deposits (rounded up to the next cent) in order to have the $26050 on June 1, 2025.
A person needs $67000. He/she makes deposits of $2750 at end of each quarter in an account which earns 8.5% compounded quarterly. How many deposits are required and how much is the last smaller payment?
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Risky social support Another way in which the Internet can increase children's and adolescents' mental health problems is by fostering communication
When developing a grant proposal, it's important to set clear and measurable goals. One way to do this is by making sure your goals follow the SMARTIE system
Although the Internet can be a helpful outlet for some youth in terms of exploring their sexual identify (e.g., LBGT youth who live in small, conservative commu
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Respond to at least two of your colleagues (one assigned to each of the other two disorders) on two different days and compare your assigned disorder
Its key advantage is high internal validity; its disadvantage is that randomization is often ethically or practically impossible.
Reflect: Briefly describe a personal belief or opinion you hold (e.g., a stance on a political issue, a preference for a certain type of media).