Perform the indicated operations, and then answer the question.
2 answers:
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Answer:
See the attached
Step-by-step explanation:
An exponential function has the variable in the exponent.
Answer:
D
Step-by-step explanation:
Terms are separated by addition and subtraction symbols.
Polynomials consist of terms that are constant and/or variable. The variable terms must have 0 or positive exponents. Polynomials will not consist of division of variable expressions.
Examples of polynomials:
Examples of non-polynomials:
In general a polynomial when written in standard form should be comparable to:
where the 's could be zero and all the exponents,n, are positive or 0.
D is comparable since all of these are 0 except which is 1 and
which is -2.
Also the other choices have either division by variable expressions and/or negative exponents on variables.
Answer:
R (t) = 60 - 60 cos (6t)
Step-by-step explanation:
Given that:
R(t) = acos (bt) + d
at t= 0
R(0) = 0
0 = acos (0) + d
a + d = 0 ----- (1)
After seconds it reaches a height of 60 cm from the ground.
i.e
Recall from the question that:
At t = 0, R(0) = 0 which is the minimum
as such it is only when a is negative can acos (bt ) + d can get to minimum at t= 0
Similarly; 60 × 2 = maximum
R'(t) = -ab sin (bt) =0
bt = k π
here;
k is the integer
making t the subject of the formula, we have:
replacing the derived equation of k into R(t) = acos (bt) + d
Since we known a < 0 (negative)
then d-a will be maximum
d-a = 60 × 2
d-a = 120 ----- (3)
Relating to equation (1) and (3)
a = -60 and d = 60
∴ R(t) = 60 - 60 cos (bt)
Similarly;
For
where ;
Then b = 6
∴
R (t) = 60 - 60 cos (6t)