Answers by visitors named: Reiny2
(I am Reiny , but not using my regular IP address)
This is a poorly worded question, so you are not stupid.
1st equation: 20m + 40w = 240
divided each term by 20
m + 2w = 12
2nd equation : 5m + 15w = 110
divide each term by 5
m + 3w = 22
now subtract them,
w = 10
back into m + 2w = 12
10 + 2w = 12
2w =
w = 1
there were 10 men and 1 woman
Use the cosine law to find angle Q, the smallest angle
10^2 = 17^2 + 21^2 - 2(17)(21)cosQ
cosQ = 630/714 = ....
Q = .....
sinQ = h/17
h = 17(sinQ)
#1
take the derivative, sub in x = 1
Now you have the slope of the tangent
Sub x=1 into the original equation to get y
So now you have the slope and a point. Use the method you
learned probably in grade 9 to find the equation of the tangent.
#2
I would use the product rule to find the derivative
set that result equal to zero and solve for x
#3
you should get y' = (x-1)^5 (x+5)^6 (13x+23)
draw your conclusion
slope = (6-(-2))/(-4-(-8) = 2
using the point (-4,6)
y-6 = 2(x+4)
y-6 = 2x + 8
y = 2x + 14
to check, sub both given points into this equation.
Both points work!
Recall that
sin^2 x = 1/2 - (1/2)cos (2x)
so...
∫(sin(x^2))dx from 0 to 1/2
= ∫(1/2 - (1/2)cos (2x) dx from 0 to 1/2
= x/2 - (1/4)sin (2x) from 0 to 1/2
= ......