Calculate the final temperature, in degrees Celsius, ∘C, for each of the following with n and V constant. A sample of air at 35 ∘C and 780 mmHg is cooled to give a pressure of 640 mmHg . Express your answer to two significant figures and include the appropriate units.

-- Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)

-- find Zvu for z= f(x,y), x=uv , y= v^2 + u^2

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Short Answer Questions.

a) Predict the effect (increase, decrease, no change) on the alkalinity of a natural water upon addition of the following compounds. Explain your answers:
i. CO₂
ii. HNO₃
iii. CdCl₂
iv. NH₃
v. Sulphate reduction (SO4^2- H2S)

How do you find the specific volume of R-134A at P=700 kPa and T= 120 C? I know it is from the tables but I can't seem to figure out how to get the number: v = 0.43358 m^3/kg

The acceleration of a rocket traveling upward is given by a = (8 + 0.02s) m/s2, where s is in meters.(Figure 1). Initially, v = 0 and s = 0 when t = 0.

Determine the time needed for the rocket to reach an altitude of s = 100 m .

Using the change of variables u=x^2y and v=y/x, integrate f(x,y) =x^2y^2 over the region bordered by y= 1/x^2,y= 3/x^2, y=x and y= 2x.

Part A: For the circuit shown in the figure(Figure 1) find the current through each resistor.

Part B: For the circuit shown in the figure find the potential difference across each resistor.

Kl reports that he is feeling nasuated v/s are 92/58 116,32,Spo293%.the physician orders an IV fluid bolus of 500 ml0.9% normal saline and 2 units packed blood cells stat what initial interventions need to be instituted

Define production possibility frontier stating clearly the assumptions underlying its
construction.

Briefly explain the following :

i) Giffen goods
ii) Necessity goods
iii) Inferior goods
iv) Substituted goods
v) Complementary goods
vi) Normal goods