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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...

oh wow i didnt realize that thanks

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...

were given f'(x) as a graph I'm assuming we have to find the equation of that function then find the anti-derivative

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...

thats where i got lost

so the domain is all real numbers except when sin(x)<1?

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...

if u = 1-sin(x) then du/dx = (1/2)u

ah thank you i think I am understanding it now but I am confused about part c.

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

the limit of abs(x-1)+2 is 2 and the limit of ax^2+bx is 5 so the limit is not continuous right?

so would the lim ƒ(x) = 5?

sorry I meant equivalent to

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?

we haven'y learned that formula yet, he told us to use E(n) = (-2.178x10^-18)/n^2

We haven't learned rydbergs constant yet, so I was assuming we used the one I posted

That formula finds the principle energy level, not the energy emission or absorption

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.

ok, but i don't understand what to use them for?

f'(x) for both*

like f(1)=2 and f(-.25)=-.5?

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?

what would be an example and how do you find the initial one?

so no 2 tangents can form a perpendicular line at f(x) = x^2+2?

y = (x-1)/3

?? confused

they should be reciprocals

right the derivative is 2x

f(2) = 4x-2

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 +...