1. Line a and line b
2. Segment VX and segment YZ
3. Ray WY and Ray WZ
4. Angle YWV and Angle XWZ
5. Plane D and Plane VWX
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
15 the answer is 15 because 15 x 5 = 75
Surface area of the cylinder is 294π in².
Step-by-step explanation:
- Step 1: Surface area of a cylinder = 2πrh + 2πr² Here, r = 7 in, h = 14 in
⇒ Surface Area = 2 × π × 7 × 14 + 2 × π × 7 × 7
= π (196 + 98) = 294π in²
Answer:
0.875 is the ratio from white to brown socks.
