If you use the pothaorian theorym (A squared + B squared= C squared) youll be able to figure out the right answer is 65.
I took the quiz the answer is A,B,D,E
Hope I Helped!
Step-by-step explanation:
Answer:
Following are the answers to this questions:
A) False.
B) False.
C) True.
D) True.
Step-by-step explanation:
In option A,
Let A is 
diagonal matrices that is,
![\left[\begin{array}{ccc}0&1&0\\0&0&6\\0&0&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%260%5C%5C0%260%266%5C%5C0%260%260%5Cend%7Barray%7D%5Cright%5D)
here 
= 0, In this A is the nilpotent matrix and A has three values that are equal to 0 but it is not a diagonalizable matrix.
In option B,
If ![A =\left[\begin{array}{ccc}0&1\\0&0\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%261%5C%5C0%260%5Cend%7Barray%7D%5Cright%5D)
in given value A elements are 0 and 1 as a distinct eigen value, that's why A is diagonalizable but |A| =0 its means A is not invertible, that's why it is false.
In option C,
It is given that 
where A~ D, which is A is similar to diagonal matrices, that's why it is true.
In option D,
It is given that A has eigen vector, which leases from 
. A has eigen vector and A is 
matrix, the number of A eigen values = given vector of A, that's why it is correct.
Answer:
a) The differential equation for the velocity is given by
(dv/dt) = k(250 - v)
b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
Step-by-step explanation:
Acceleration, a ∝ (250 - v)
But acceleration is widely given as dv/dt
(dv/dt) ∝ (250 - v)
(dv/dt) = k(250 - v)
where k = constant of proportionality
(dv/dt) = k(250 - v)
b) (dv/dt) = k(250 - v)
dv/(250 - v) = k dt
∫ dv/(250 - v) = ∫ k dt
- In (250 - v) = kt + c (where c is the constant of integration)
v(0) = 0; meaning, at t = 0, v = 0
- In 250 = 0 + C
c = - In 250 = - 5.52
- In (250 - v) = kt - 5.52
In (250 - v) = 5.52 - kt
250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾
v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
i hope this work for you
and sory if im wrang
