Answer: Option C.
Step-by-step explanation:
We have functions of r(θ)
In our graph, we can see that the minimum value of r is when θ = 0°, and the maximum value is when θ = 180°.
We also know that the graph is in the square (-5, 5)x(-5, 5) and you can see that the maximum radius is almost less than 5.
Then let's analyze the options:
A) r = 3 - 2*cos(θ)
the maximum is at the right angle, but the maximum is:
r = 3 -2*(-1) = 5, so this maximum value is bigger than the one in the graph.
B) r = 3 - sin(θ)
For the sin functions, the maximum and minimum do not correspond with the values i write earlier, so we can discard this option.
C) r = 3 - cos(θ)
The maximum is: r = 3 - (-1) = 4, so this may be the correct answer.
the minimum is r = 3 - 1 = 2,
this is a possible equation for our circle.
D) r = 2 - 2*cos(θ)
Here, when θ = 0, we have: r = 2 - 2*1 = 0, but in the graph we can see that the radius is not 0 when θ = 0, so we can discard this option.
So the only option that makes sense is option C.
log(3) = log(12/4)
Use the quotient rule [ 
] to simplify.
log(12/4) = log(12) - log(4)
Simplify using the given values for 12 and 4.
1.079 - 0.602
0.477
Therefore, log(12) ≈ 0.477
Best of Luck!
Answer:
not enough info, make another question with the problem attached
Step-by-step explanation:
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"
A polynomial can have:
constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...
... except ...
... not division by a variable (so something like 2/x is right out)
So:
A polynomial can have constants, variables and exponents,
but never division by a variable.
Also they can have one or more terms, but not an infinite number of terms.
These are polynomials:
3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)
These are not polynomials
3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)
But these are allowed:
x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
