The answer is choice A) y = 2^x - 1
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Explanation:
Note how the curve goes through (0,0). So this means that plugging in x = 0 should lead to y = 0. Let's see which choices do that for us
choice A) y = 2^x - 1 = 2^0 - 1 = 1-1 = 0
choice B) y = 2^(x - 1) = 2^(0 - 1) = 2^(-1) = 0.5
choice C) y = 2^x + 1 = 2^0 + 1 = 1+1 = 2
choice D) y = 2^(x + 1) = 2^(0 + 1) = 2^1 = 2
Only choice A has x = 0 lead to y = 0, which is why choice A is the answer
Answer:
116
Step-by-step explanation:
3 to the power of 4 is 81. 7x5 =35+81=116
Its 51, the numbers add 2 each time so 9 to 11 is 2 then you add 2 more for the next so 11 to 15 is 4 and so on
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
Answer:
46
Step-by-step explanation:
Adding the given numbers of columns on each side counts each corner column twice. Therefore, we must subtract 4 corner columns from the total.
2(8+17) -4
= 2(25) -4
= 50 -4
= 46
