Homework Statement
Calculate the empirical formula of each hydrate
Homework Equations
Mass of MnSO4 x XH2O...
-Hydrate = 1.8g
-Anhydrous salt = 1.59g
-Water = .21g
The Attempt at a Solution
I thought you would set 1.8g MnSO4*XH2O((Molecular mass of MnSO4)/(Molecular mass of...
Homework Statement
Consider the curve x^2+xy+y^2=27
Homework Equations
Find all points on the curve where the lines tangent to the curve are vertical
The Attempt at a Solution
I found dy/dy = (-2x-y)/x+2y)
and I think I found the equations of lines visually to be x=6 and x=-6...
Homework Statement
Find the f(x) when given f'(x)
Homework Equations
the x intercepts are at (-8,0) (-2,0) (6,0)
the y-intercepts is at (0,-6)
and the derivative at zero appear to be at (-6,6) and (3,-10)
The Attempt at a Solution
I found the general equation by factoring the...
We have just begun this topic and I'm really confused about how to approach questions, is there any trick or guideline for doing so?
Ex: Consider an isosceles right triangle whose hypotenuse is the x-axis and whose vertex is on the y-axis. If the hypotenuse is 2 units long, we'd have...
Homework Statement
let f(x) = sqrt(1-sin(x))
Homework Equations
What is the domain of f?
What is the domain of f'(x)?
The Attempt at a Solution
I understand that the domain of f is all real numbers not including every increment of 90 degrees, but I am not sure how to state that...
for b) i said if a and b = 1 then lim of x^2+x as x approaches 1 is 2 which would make it a continuous function because the left and right limits are equal at f(1), is that correct? I am a bit confused with left and right hand limits
I'm kind of confused about how to approach a function with the chain rule.
For example in the equation ƒ(x) = sqrt(1-sin(x)) I know i simplify it to ƒ(x) = 1-sin(x)^(1/2) but I'm lost from there.
Homework Statement
Let f be the function defined as ƒ(x)={ lx-1l + 2, for x<1, and ax^2 + bx, for x (greater or equal to) 1, where a and b are constants.
Homework Equations
A) If a=2 and b=3, is f continuous for all of x?
B) Describe all the values of a and b for which f is a...
ok well i did (change in energy) = E(f) - E(i)
delta(E) = 3.3e-19
E(f) = En when n=2
When n=2 E= -5.445e-19
so 3.3e-19 = -5.445e-19 - E(i)
E(i) = -8.745e-19
I then used E(i) = -2.178e-18/n2
i got n= 1.57815 which doesn't make sense, can anyone tell me what i did wrong?
Homework Statement
use the RYDBERG formula to suggest a possible transition that would result in the observed wavelength
Homework Equations
Hydrogen - yellow wavelength about 600nm
The Attempt at a Solution
I used c= lambda x frequency(V) and found (V) to equal 5e14/second
I then...
oh! i actually figured it out as you posted that last one comment, thank you so much!
curious if this is actually correct,
In the function f(x)=x^2+2, lines y=2x+1 and y=.5x+1.9375 are tangent to f(x) and are also perpendicular.
What would be an example of two equations of lines that are perpendicular and tangent to the function f(x)=x^2+2?
Would any line form a perpendicular angle as well as be tangent to the function? If not, how do you find the equation of the first line as appose to the second one?
Homework Statement
Is it possible that there are two different tangent lines to this function that are perpendicular to each other? If so, find the equations of the two lines and show that they are tangent to ƒ(x) and perpendicular to each other. If not, show why it is not possible...
Homework Statement
a) Write down the definition of "critical point." Find all critical points of ƒ(x).
b) Use the first derivative test to find the x-vale of which ƒ(x) has a minimum.
c) Is ƒ(x) differentiable at x = 7? Justify your answer.
Homework Equations
ƒ(x)={(0.3125(x-5)^2 +...