Answer:
Parent Function: g(x)=x3
Horizontal Shift: Right 0.167 Units
Vertical Shift: Up 2.149Units
Reflection about the x-axis: None
Reflection about the y-axis: Reflected
Vertical Compression or Stretch: Stretched
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Answer:
22 cm
Step-by-step explanation:
the perimeter = AB+BG+GF+FE+ED+DC+CA
= 65 cm
7+7+7+FE+7+DC+7=65 => FE = CD
35+ 2FE = 65
2FE = 65-35
= 30
FE = 30/2 = 15
so, GE = GF + FE
= 7+15 = 22 cm
Answer:
The\ bank\ from\ yuris\ house\ is \frac{1}{3}\ miles.
Step-by-step explanation:
The\ store\ is\ \frac{5}{6}\ mile\ from\ yuri's\ house.
The\ bank\ is\ \frac{2}{5}\ the\ distance\ from\ yuri's\ house\ to\ the\ store.
Than
The\ bank\ from\ yuris\ house = \frac{2}{5}\times (distance\ from\ yuri's\ house\ to\ the\ store) }
The\ bank\ from\ yuris\ house = \frac{2\times 5}{5\times 6}
The\ bank\ from\ yuris\ house = \frac{10}{30}
The\ bank\ from\ yuris\ house = \frac{1}{3}\ miles
Therefore\ the\ bank\ from\ yuris\ house\ is \frac{1}{3}\ miles
