Hello :
x= r cos<span>θ
y= r sin</span><span>θ
r = 4 and </span>θ =<span> −3π/4
cos( </span> −3π/4 ) = cos( 3π/4 ) = cos ( π - <span>π/4) = - cos (</span><span>π/4)= - </span><span>√2/2
</span>sin( −3π/4 ) = - sin( 3π/4 ) = - sin ( π - π/4) = -sin (π/4)= - √2/2
x = - 2 √2
y = - 2 √2
Answer:
D. 29.75
Step-by-step explanation:
To determine the mean, you must add up all the numbers and then divide that number by how many numbers you added.
Here,
21 + 23 + 35 + 40
= 119
You added 4 numbers (21, 23, 35, 40),
so, 119 / 4
= 29.75
Hope this helps and a thank won't hurt! :)
Answer:
The complete solution is
Step-by-step explanation:
Given differential equation is
3y"- 8y' - 3y =4
The trial solution is

Differentiating with respect to x

Again differentiating with respect to x

Putting the value of y, y' and y'' in left side of the differential equation


The auxiliary equation is




The complementary function is

y''= D², y' = D
The given differential equation is
(3D²-8D-3D)y =4
⇒(3D+1)(D-3)y =4
Since the linear operation is
L(D) ≡ (3D+1)(D-3)
For particular integral

[since
]
[ replace D by 0 , since L(0)≠0]

The complete solution is
y= C.F+P.I

This can be solved using a ratio. The ratio is: 13/20=x/60 this would then become 20x= 780 divide both sides by 20 and you get x=39. the answer is 39
Answer:
x=3×3
Step-by-step explanation:
ok it's fine if you don't mind