Homework Statement
When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV^(1.4)=C where C is a constant. Suppose that at a certain instant the volume is 450 cubic centimeters and the pressure is 81 kPa and is decreasing at...
The manager of a large apartment complex knows from experience that 90 units will be occupied if the rent is 400 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 10 dollar increase in rent. Similarly, one additional unit will be...
Let f(x) = x^(1/3). The equation of the tangent line to f(x) at x = 8 can be written in the form y = mx+b where m is: and where b is:
Using this, we find our approximation for 8.1^(1.3) is:
I found the slope to be 1/12
I found b to be 1.3333333333333333333
I still can't get the answer...
1)
A particle is moving along the curve y=3sqrt{3x+3}. As the particle passes through the point (2, 9), its x-coordinate increases at a rate of 2 units per second. Find the rate of change of the distance from the particle to the origin at this instant.
2)
Use implicit differentiation to find...
Ahhh, I see what you mean now. I did everything, but for the final slope i get -30/21. I have no idea how it's wrong when I did exactly what you told me.
I still don't get what you mean. When i differentiate 3xy using the product rule, what should i get? Am i supposed to get (3*(xy)) - (3x*1)? I don't completely get the concept
This is what i did:
It sounds totally wrong and it looks wrong but i didn't know what to do
(d/dx)(4x^2-3xy+1y^3)=26
(dy/dx)(3y^2)=-8x+4
dy/dx=(-8x+4)/(3y^2)
Homework Statement
Use implicit differentiation to find the slope of the tangent line to the curve
4x^2-3xy+1y^3=26
at the point (3,2)
The Attempt at a Solution
I attempted the problem and i came up with dy/dx= (-8x+4)/(3y^2) which is wrong.
Need some help with this.
I did problems 1-4. I was able to get help from my roommate and we worked it out. For problem 5 i was able to get the first 4 questions. The 5th part of the 5th question is: what is the TOTAL distance the particle travels between time 0 and time 10? i tried adding all the values of t(0) to t(10)...
Hello there.
I actually need help with several problems
1) If f(x)=4x^2-4 x+3, then f'(5) = 36
Use this to find the equation of the tangent line to the parabola y=4x^2-4x+3 at the point (5,83). The equation of this tangent line can be written in the form y = mx+b where
m= ?
and
b= ...