Homework Statement
A heavy weight is suspended by a cable and pulled to one side by a force F. How much force is required to hold the weight in equilibrium at a given distance x to one side. Tcosθ=W and Tsinθ=F. Find F/W as a power series of θ. Often in a problem like this, what we know is not...
Homework Statement
Find first three non zero terms in series expansion for ln(1+e^-z) when z is very large
Homework Equations
The Attempt at a Solution
I've got as far as ln(1+e^(-1/z)*e^((1/z)(z^(2) - 1))
not sure where to go from here
Homework Statement
Find first three non zero terms in series expansion where the argument of funstion is small
ln(5+p)
Homework Equations
The Attempt at a Solution
The only way I could think how to do this is by saying ln(5+p) = ln(1+(4+p)) and expanding to
(4+p)-...
Homework Statement
Show that arcsin(1/sqrt(5)) + arcsine(2/sqrt(5)) = Pi/2
Homework Equations
The Attempt at a Solution
Can someone please give me so much as a hint?
Homework Statement
A mortgage is taken out for £80,000. It is to be paid by annual instalments of 5000with the first payment being made at the end of the first year that the mortgage was taken out. Interest of 4% is then charged on any outstanding debt. Find the total time taken to pay off the...
Homework Statement
two different triangles ABC where AB=5cm, AC=3.2cm, and angle ABC is 35 degrees, calculate the difference between the two areas
Homework Equations
SinA/a=SinB/b
Area=0.5abSinC
The Attempt at a Solution
drawn line AB then a line at B 35 degrees to AB. then drawn...
it still doesn't make any sense, if the triangles are seprate then their area is exactly the same surely, using the sine rule you can find the angle C, then you could find A as you know the two other angles meaning there's only one possible answer for the area
who said that the sides were the same length? AB=5 and AC=3.2, who said they were the same?
and to symbolipoint, that is the whole question which is why it makes no sense
soine cosine rule
I have a question for you, I came across this question while revising for my exam on monday if anyone can answer this I'll be very impressed.
Two different trangles ABC have AB=5cm, AC=3.2cm and angle ABC=35degrees
calculate the difference between their areas.