If the blue radius below is perpendicular to the green chord and the segment AB is 6.5 units long, what is the length of the cho
rd?
A. 13 units
B. 6.5 units
C. 3.25 units
D. 26 units
A. 13 units
B. 6.5 units
C. 3.25 units
D. 26 units
2 answers:
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Answer:
The degree of this polynomial is "8"
Step-by-step explanation:
Recall that the degree of a polynomial is given by the degree of its leading term. Recall as well that the degree of a term is the maximum number of variables that appear in it.
So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.
1) term contains one variable "m" and four variables "n", so a total of five. Then its degree is: 5
2) term contains one variable "m", two variables "n", and five variables "p". that is a total of eight variables. Then its degree is: 8
3) term contains one variable n and one variable p. That is a total of 2. Then its degree is 2.
Based on the analysis above, and the fact that the term with highest degree is that of degree 8, the polynomial has degree 8.
Answer:
(A)The absolute maximum of f(x) is at x=5
Step-by-step explanation:
F(x)=−2x³+21x²−60x on [1,6]
Find the first derivative.
f'(x)=-6x²+42x-60
Set the first derivative equal to zero.
-6x²+42x-60=0
Solve to find the critical points.
x=2,5
Next, we use the endpoints and all critical points on the interval to test for any absolute extrema over the given interval.
x=1,2,5,6
This is done by evaluating the function at x=1,2,5,6.
F(1)=−2(1)³+21(1)²−60(1)=-41
F(2)=−2(2)³+21(2)²−60(2)=-52
F(5)=−2(5)³+21(5)²−60(5)=-25
F(6)=−2(6)³+21(6)²−60(6)=-36
The maximum will occur at the highest f(x) value and the minimum will occur at the lowest f(x) value.
Absolute Maximum: (5,-25)
Absolute Minimum: (2,-52)
The graph is attached.
The absolute minimum and maximum of f(x) are (2,-52) and (5,-25) respectively.
