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Calculus/related rates equations
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Question
The apparent temperature A in degrees F is related to the actual temperature x and the humidity 100h% by the equation
A= 2.7+0.l9x-79h+1.2hx degrees F
write a related rates equation for the equation above using th time t as the independent variable
As you can see in the link below, the apparent temperature is a surface (2D function), which it's variables are x&h. to transform
this 2D surface into 1D curve we need to make parameterize of x
& h as a function of t. Let's suppose (as shown in the table in the
link below) that x & h varies Linearly in time such as :
x(t)=2t & h(t)=5t.
The related rates equation is the derivative of A with respect to t.
A'(t)=-394.62+24t (chick it!)
Alon.
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Answers by Expert:
Alon Mandes
Expertise
Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .
Experience
1. I'm a team member of mathnerds (math site for answering questions)
2. I'm a team member in the Student's Union of the Technion, helping
students who have problems in mathematics.
3. 2 years of experience as a math teacher in college.
4. I give free homework help for high school students in
Mathematics & Physics.
5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" ,
"Complex Functions".
Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.
Education/Credentials
M.A in Mathematics & Bs.c in Electronics.
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