Suppose 
is a solution to the ODE. Then 
and 
, and substituting these into the ODE gives
Then the particular solution to the ODE is
The area (A) of a rectangle is calculated by multiplying the length (L) and the width (W). In order for us to determine the possible dimensions of the section (or sides) of the rectangle, we have to factor the given area.
x² - 4x - 45
(x - 9)(x + 5)
<em>Thus, the possible dimensions of the rectangle are x-9 and x+5</em>.
Answer: 17
Step-by-step explanation:
78 x 9
=702
702 -719
= 17
Answer:
The value of k is -11
Step-by-step explanation:
If (x+2) is a factor of x3 − 6x2 + kx + 10:
Then,
f(x)=x3 − 6x2 + kx + 10
f(-2)=0
f(-2)=(-2)³-6(-2)²+k(-2)+10=0
f(-2)= -8-6(4)-2k+10=0
f(-2)= -8-24-2k+10=0
Solve the like terms:
f(-2)=-2k-22=0
f(-2)=-2k=0+22
-2k=22
k=22/-2
k=-11
Hence the value of k is -11....
