Given vector s = [4, -5, 7], u = [-6, 8, 11], and v = [-5, 3, -7]
a. Let r1(t) be the vector equation through s and u. Express the vector equation r(t) in two ways and then find r(1); r(-5); r(9)
b. Let r2(t) be the vector equation through u and parallel to r1(t), Express r2(t) in two forms and then find r(-3); r(13); r(2)
c. Let w = 2s -4v, find r(t) through u and v

Humid air at 70.0 °C and 1.00 atm with 2.00 °C of superheat is fed to a condenser. Gas and liquid streams leave the condenser in equilibrium at 15.0 °C and 1.00 atm.

Use material balances to determine the following quantities for a basis of 100.0 mol of warm, humid air fed to the condenser.

Two isolated, concentric, conducting spherical shells have radii R₁ = 0.450 m and R₂ = 1.50 m, uniform charges q₁ = +1.70 μC and q₂ = +2.30 μC, and negligible thicknesses. What is the magnitude of the electric field E at radial distance (a) r = 3.40 m, (b) r = 0.840 m, and (c) r = 0.360 m? With V = 0 at infinity, what is V at (d) r = 3.40 m, (e) r = 1.50 m, (f) r = 0.840 m, (g) r = 0.450 m, (h) r = 0.360 m, and (i) r = 0?

There have been a lot of sci-fi shows recently using the "rotating space station" explanation for gravity on space stations.

After watching these videos:

http://www.youtube.com/watch?v=49JwbrXcPjc&NR=1
http://www.youtube.com/watch?v=_36MiCUS1ro

I was wondering what would happen, if you were facing the direction of rotation, while standing on the "floor" of a rotating space station and tossed a ball "up". From the video it looks like the ball should land in front of you. Is this in fact what would happen and if you dropped a ball would it land behind you?

1) For the following Business Cycle Phases listed (Provide objectives and at least two deliverables from each phase)

• Initiation Phase: Make the business case for the project. Work also begins on the user experience and on architectural proof of concepts.

• Discovery Phase: Conduct investigation leading to an understanding of the solution’s desired behavior

• Construction Phase: Complete the analysis and design, code, integrate, and test the software

• Final V & V Phase : Perform final testing before the product or service is transitioned into production

• Closeout Phase: Manage and coordinate deployment into production and close the IT project.

SUBJECT : MODERN PROJECT MANAGEMENT

you jump from a 20 meter tall building to a 12 meter tall building you jump horozontally with a speed of 5.0 m/s.

all must be answered using ther following equations v = dx/dt;   a = dv/dt;    v = v₀ + at;    x = x₀ + v_ot + at²/2;    v² = v_o² + 2aD

how long in seconds are you in the air?

how far apart are the two buildings assuming you jumped from the edge and landed on the edge?

what is your speed when you land?

for this question you must use the pythagrium therm

A charge of 22.0 μC is held fixed at the origin.

(A)

If a -6.00 μC charge with a mass of 3.10 g is released from rest at the position (0.925 m, 1.17 m), what is its speed when it is halfway to the origin? v=__m/s

(B) Suppose the -6.00 μC charge is released from rest at the point x = 12(0.925m) and y = 12(1.17m). When it is halfway to the origin, is its speed greater than, less than, or equal to the speed found in part A? Explain

(C)Find the speed of the charge for the situation described in part B. v=__m/s

All the questions refer to an experimental drug (RDRPkill), designed to treat COVID-19. The drug is a specific inhibitor of the coronavirus specific RNA-directed RNA-polymerase.

Although it does not dissolve in pure water, RDRPkill is soluble in 10% (w/v) ethanol or pure dimethyl sulfoxide (DMSO). It is supplied in vials that generally contain 5 mg of powder. Liquid is transferred in and out of these vials by puncturing the rubber seal at the top with a syringe.

6.   Because everyone in the world is using lung cell culture medium, there is a shortage. But, no problem, you can make a homemade version using basic components. The final concentration of the components in culture medium are 130 mM sodium chloride, 2.5 mM potassium chloride, 25 mM sodium bicarbonate, and 100 μg/mL BSA. You need to prepare a 10 x concentrate of culture medium. You have the following stock solutions: 5 M sodium chloride, 0.5 M potassium chloride, 2.5 M sodium bicarbonate, and 30% (w/v) BSA. How would you make up 200 mL of this 10 x concentrate?

7. It turns out that RDRP-kill may need to be stabilised in the incubations by a reducing agent. A commonly used reducing agent is β-mercaptoethanol (mol.wt. = 78.3). It is a liquid at room temperature with a density of 1.12 g/mL. You decided that you will make up a 50 mL stock of 0.7% (v/v) β-mercaptoethanol. How would you do this and what is the molar concentration of the stock that you’ve made up?