(I'm going to translate y' to dy/dx as it makes it easier to read for me, you could change it back if you wanted.)
(separate the variables)
(by letting c = ln k and using log laws)
(raise everything to power e)
(applying boundary conditions)
Particular solution:
The finance Charge would be $140. you would multiply 18 by 80 and then add the 130 and take that number and subtract the 1,430
1)
f(x)=tan 90º=indeterminated or ∞
Answer: y-value=indeterminated or ∞.
2)
Law of sines:
a/sin A=b/ sinB
In this case:
24 /sin 92º=7/sin Z
sin Z=(7*sin 92º)/24=0.29148...≈0.29
Z=arc sin (0.29)=16.95º
Answer: Z=16.95º.
3)
Law of cousines:
a²=b²+c²-2bc(cos A)
In this case:
12²=22²+19²-2(22)(19)cos T
144=484+361-836 cos T
-836 cos T=144-484-361
-836 cos T=-701
cos T=-701/-836
cos T=0.83851...≈0.84
T=arc cos (0.84)=33.02
Answer: T=33.02º
4)
The hypotenuse would be EF, because it is in front of the right angle.
The legs would be EG and FG
Answer: The legs would be EG and FG.
5)
cot Ф= adjacent /opposite=10/24=5/12
Answer: cot Ф=5/12
Answer:
Using x for Θ:
(sinx - cosx)^2 - (sinx + cosx)^2
= (sin^2 x - 2sinxcosx + cos^2 x) - (sin^2 x + 2sinxcosx + cos^2 x)
= - 2 sinx cosx - 2 sinx cosx
= - 4 sinx cosx
= - 2sin(2x)
Step-by-step explanation:
