Hey,
I'll state first that I've obviously just been introduced to vectors and I have looked through the given material in class let alone watched "Khan Academy" and "Patrick JMT" video on Vectors but i can not really grasp the concepts.
Question:
In parallelogram PQRS let
q = PQ and...
Thanks everyone,
I realized i was using the wrong angle, i think i confused myself with putting the force of 26N 125 degrees away in the other direction. Which should not matter, although it confused myself.
Anyways, I solved it finally.
As for Q2.
I used the sin rule,
a/SinA = b/SinB...
Okay, I don't really understand vectors exactly - I think i do, but then i confuse myself.
"Two forces have magnitudes of 26 N and 19 N and the angle between them is 125°. Find the magnitude of the resultant and the angle it makes with the larger of the two forces. Give answers correct to 1...
Q. You have been asked to design a can shaped like a right circular cylinder with height h and radius r. Given that the can must hold exactly 130 cm3, what values of h and r will minimise the total surface area (including the top and bottom faces)?
Volume(Cylinder) = pi(r)2*h
130 = pi(r)2*h...
I have a function which is:
y = 27x2 + 2100/x
dy/dx = 54x - 2100/x2
Critical points are for what x values, is y undefined or equal to 0?
Therefore, in this case i can only see the value of 0, which would cause the function to be undefined. Due to x2 being on the denominator.
EDIT...
P' = -12(x2 - 100x - 900)
(I converted n to x because i find it easier to work with)
Expand the brackets:
P' = -12x2 + 100x + 900
Therefore:
P'' = -24x + 100
The total profit $P, generated from the production and marketing of n items of a certain product is given by:
P = -10800*n-4*n3+600*n2-166
How many items should be made for maximum profit? What is the maximum profit?
Firstly, I think i would find the derivitive of the function.
P'...
"Differential Approximation"
A person of height 1.9m is walking away from a lamp-post at 1m/s. The light on the lamp-post is 5.1m above the ground.
1. At what rate (in m/s to the nearest cm/s) is the length of the person's shadow changing?
2. At what speed (in m/s to the nearest cm/s)...
Sorry, I didn't even read the question right -.-'
It's really simple, thanks anyways.
(I didn't realize that they said given 22-100 degrees, whereas i thought the change in temperature was unknown, as well as the mass.)
1. Burning butane (C4H10) produces gaseous carbon dioxide and water. The enthalpy of combustion of butane is -2650 kJ/mole. Determine how much water you can heat from room temperature (22 Degrees) to boiling with 1 kg of butane.
Therefore:
13O2 + 2C4H10 ---Heat---> 8Co2 (g) + 10H2O(l)...
Ahh that makes sense, the source from which i got the question had a massive gap between the 6 and (x2+4)6 so i did not think to realize they were together.
Yes, i know the answers were obvious, although i could not see where i was going wrong.
Thank you.
Question:
y6 + 6 (x^2+4)6 = 9
6y5 .dy/dx . 6(x2 + 4)5 . (2x) = 0
6y5 .dy/dx = -6(x2+4)5 .(2x)
dy/dx = 6y5 / -6(x2 + 4)5 .(2x)
dy/dx = 6y5 / 12x(x2 +4)5
Although the answer is ment to have y5 as the numerator, not 6y5?
-------------
Another Q. [Simplifying result from...
@ JThompson
Yes, the equation was sapose to be
u = (5x +2)7
u' = 7(5x+2)6
The equation will be incorrect if i accidently put u'(x)*v(x) and v'(x)*u(x) in the wrong order?
@Hallsofivy
Sorry, bit new to the terminology of the mathematics.
I guess it's not a differential...
I have several questions, so i'll post these as i go.
1.
y = (5x+2)2/((x+5)3)2
u = (5x+2)2
u' = 7(5x+3)6 . (5)
v = (x+5)3
v' = (3(x+5)2).(1)
Quotient = (u(x)*v'(x) - v(x)* u'(x) / v(x)2)
(5x+2)7 . 3(x+5)2 - (x+5)3 . 7(5x+5)6 .(5) / ((x+5)3)2
[ If i knew how to put this under...