Answer:
a) 
, b) 
, 
, c) , d)
Step-by-step explanation:
a) Let derive the function:
is undefined when denominator equates to zero. The critical point is:
b) 
when numerator equates to zero. That is:
This equation shows two critical points:
,
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that corresponds to a local minimum. (See Attachment)
Given:
Figures A, B and C.
To find:
The order of the figures and volume of each figure.
Solution:
<u>Figure A:</u>
Length = 10, Width = 2 and Height = 2
Volume of A = length × width × height
= 10 × 2 × 2
Volume of A = 40 cubic units
<u>Figure B:</u>
Length = 3, Width = 3 and Height = 1
Volume of B = length × width × height
= 3 × 3 × 1
Volume of B = 9 cubic units
<u>Figure C:</u>
Length = 6, Width = 3 and Height = 3
Volume of C = length × width × height
= 6 × 3 × 3
Volume of C = 54 cubic units
Order from greatest to least:
54 < 40 < 9
C < A < B
Hence Kurry said the correct answer.
Answer:
if the question is what number of 38 percent, then the answer is 342
Answer:
if ∠Q=∠R
draw an angular bisector from P to QR in which it intersect wit Qr at point S
now we have two triangle : QPS and RSP
in which angle : QPS=RPS ( PS is angular bisector)
and we have angle Q and angle R are equal
and PS is common side
this makes triangle QPS and RSP are congruent by AAS(angle angle side)
which also means that pQ=PR ( proved)
6 1/3- 4 2/3 =5 4/3- 4 2/3=1 2/3
You can't subtract fractions unless you have the same denominator.
