Substitute
, so that
. Then the ODE is equivalent to

which is separable as

Split the left side into partial fractions,

so that integrating both sides is trivial and we get








Given the initial condition
, we find

so that the ODE has the particular solution,

Answer:
A
Step-by-step explanation:
Given (x + h) is a factor of f(x) then f(- h) = 0
Given
p(x) = x³ - 4x² + ax + 20 , with (x + 1) as a factor then
p(- 1) = (- 1)³ - 4(- 1)² - a + 20 = 0 , that is
- 1 - 4 - a + 20 = 0
15 - a = 0 ( subtract 15 from both sides )
- a = - 15 ( multiply both sides by - 1 )
a = 15 , thus
p(x) = x³ - 4x² + 15x + 20
If p(x) is divided by (x + h) then p(- h) is the remainder, so
p(- 2) = (- 2)³ - 4(- 2)² + 15(- 2) + 20 , that is
- 8 - 16 - 30 + 20 = - 34 → A
The answer would be your last option, D, 168 cm sq
Hope this helped!
34.48
(2/7=.29, 10/.29=34.48)