Answer: Option a.
Step-by-step explanation:
The parent function is the simplest form of the function.
Therefore, if you have the parent function given in the problem:
and you make f(x)+3, then the function will be translated up 3 units.
Then, you obtain:
Therefore the answer is the option a.
Answer:
35
Step-by-step explanation:
The 14 sweets Peter gets is 2 parts of the ratio, then
14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then
5 parts = 5 × 7 = 35 ← number of sweets Bridget gets
By definition
... sec(θ) = 1/cos(θ) . . . . trig identity
... sec(θ) = 1/(9/10) . . . . substitute the given value, then simplify to ...
... sec(θ) = 10/9
Answer:
Yp = t[Asin(2t) + Acos(2t)]
Yp = t²[At² + Bt + C]
Step-by-step explanation:
The term "multiplicity" means when a given equation has a root at a given point is the multiplicity of that root.
(a) r1=-2i; r2=2i g(t)=2sin(2t) + 3cos(2t)
As you can notice the multiplicity of this equation is 1 since the roots r1 = 2i and r2 = 2i appear for only once.
The form of a particular solution will be
Yp = t[Asin(2t) + Acos(2t)]
where t is for multiplicity 1
(b) r1=r2=0; r3=1 g(t)= t² +2t + 3
As you can notice the multiplicity of this equation is 2 since the roots r1 = r2 = 0 appears 2 times.
The form of a particular solution will be
Yp = t²[At² + Bt + C]
where t² is for multiplicity 2
Median means middle. How you solve this is by first putting the numbers in order from least to greatest:
36 41 43 45 46 48 48 51 51 52
Now that it is in order in each "level" take away the smallest and largest number until you get to the middle
36 41 43 45 46 48 48 51 51 52
41 43 45 46 48 48 51 51
43 45 46 48 48 51
45 46 48 48
46 48
Now this is a bit tricky because there isn't one number to signify the exact middle. When you have two numbers left you must take the mean of those two numbers. This means that you add the two numbers left and then divide the answer by 2:
46 + 48 = 94
94 ÷ 2 = 47
Hope this helped!
