Answer:
(a). y'(1)=0 and y'(2) = 3
(b). 
(c). 
Step-by-step explanation:
(a). Let the curve is,
So the stationary point or the critical point of the differential function of a single real variable , f(x) is the value 
which lies in the domain of f where the derivative is 0.
Therefore, y'(1)=0
Also given that the derivative of the function y(t) is 3 at t = 2.
Therefore, y'(2) = 3.
(b).
Given function,
Differentiating the above equation with respect to x, we get
![y'(t)=\frac{d}{dt}[k \sin (bt^2)]\\ y'(t)=k\frac{d}{dt}[\sin (bt^2)]](https://tex.z-dn.net/?f=y%27%28t%29%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Bk%20%5Csin%20%28bt%5E2%29%5D%5C%5C%20y%27%28t%29%3Dk%5Cfrac%7Bd%7D%7Bdt%7D%5B%5Csin%20%28bt%5E2%29%5D)
Applying chain rule,
![y'(t)=k \cos (bt^2)(\frac{d}{dt}[bt^2])\\ y'(t)=k\cos(bt^2)(b2t)\\ y'(t)= kb2t\cos(bt^2)](https://tex.z-dn.net/?f=y%27%28t%29%3Dk%20%5Ccos%20%28bt%5E2%29%28%5Cfrac%7Bd%7D%7Bdt%7D%5Bbt%5E2%5D%29%5C%5C%20y%27%28t%29%3Dk%5Ccos%28bt%5E2%29%28b2t%29%5C%5C%20y%27%28t%29%3D%20kb2t%5Ccos%28bt%5E2%29)
(c).
Finding the exact values of k and b.
As per the above parts in (a) and (b), the initial conditions are
y'(1) = 0 and y'(2) = 3
And the equations were
Now putting the initial conditions in the equation y'(1)=0
2kbcos(b) = 0
cos b = 0 (Since, k and b cannot be zero)
And
y'(2) = 3
![$\therefore kb2(2)\cos [b(2)^2]=3$](https://tex.z-dn.net/?f=%24%5Ctherefore%20kb2%282%29%5Ccos%20%5Bb%282%29%5E2%5D%3D3%24)
Answer:
first tile: x=5, second tile x=19, third tile x=29, last tile x=6
Step-by-step explanation:
Ohhh is that edmentum i do that too! ;)
(x-1)^3=64
x-1=4
x=5
(x-3)^5=2^20
x-3=2^4
x-3=16
x=19
(x-4)^3=5^6
x-4=25
x=29
the last one has to be x=6
Answer:
If tan2 x = 3 then the value of x is 3. So three is your answer!
Step-by-step explanation:
9514 1404 393
Answer:
- n = (s/m) -r
- n = (s -mr)/m
Step-by-step explanation:
1. Undo the operations done to n, in reverse order. Here, n has r added and the sum is multiplied by m. First we divide by m, then we subtract r.
m(n+r) = s . . . given
n +r = s/m . . . divide by m
n = (s/m) -r . . . subtract r
__
2. Eliminate the parentheses, then proceed as above. Subtract the added term, then divide by the coefficient of n.
m(n+r) = s
mn +mr = s . . . eliminate parentheses
mn = s -mr . . . subtract the added term
n = (s -mr)/m . . . divide by the coefficient of n
Answer:5.4
Step-by-step explanation:
30% of 18= 18% of 30
10% of 18= 1.8
1.8 times 3=5.4
