The transformation that shifts a function along the
is
, which shifts the function to the left, and
, which shifts the function to the right.
The transformation that shifts a function along the
is
, which shifts the function up, and
, which shifts the function down
Hence, the correct answer is D:
Answer:
D
Step-by-step explanation:
The angles are congruent meaning that 5x-70 must equal 105
Answer:
B
Step-by-step explanation:
The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B
please give Brainliest
The fact that the temperature dropped means that the new value is smaller than the old one. So, we must subtract.
We also know how much it dropped, so we know how much we must subtract.
The new value is thus
F
The general solution of the given differential equation be
For given question,
We have been given a differential equation y'' − y' − 12y = e^(4x)
We need to solve the given differential equation by undetermined coefficients.
We can write given differential equation as where
First solve the corresponding homogeneous differential equation:
y'' - y' - 12y = 0
The characteristic equation is:
m² - m - 12 =0
Let's find the roots of above quadratic equation by factorization.
⇒ m² - m - 12 = 0
⇒ (m - 4)(m + 3) = 0
⇒ m - 4 = 0 OR m + 3 = 0
⇒ m = 4 OR m = -3
Hence the complementary solution is,
Let the general solution of a second order homogeneous differential equation be
The unknown functions C1(x) and C2(x) can be determined from the system of two equations:
from (1),
Substitute this value in equation (2)
and
and
Therefore, the general solution of the given differential equation be
Learn more about the differential equation here:
brainly.com/question/13234334
#SPJ4