There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
Answer:
Step-by-step explanation:
<u>Solve the given for h:</u>
<u>Isolate h:</u>
<u>Divide all terms by 2πr:</u>
Correct choice is A
Answer:
a) d²y/dx² = ½ x + y − ½
b) Relative minimum
Step-by-step explanation:
a) Take the derivative with respect to x.
dy/dx = ½ x + y − 1
d²y/dx² = ½ + dy/dx
d²y/dx² = ½ + (½ x + y − 1)
d²y/dx² = ½ x + y − ½
b) At (0, 1), the first and second derivatives are:
dy/dx = ½ (0) + (1) − 1
dy/dx = 0
d²y/dx² = ½ (0) + (1) − ½
d²y/dx² = ½
The first derivative is 0, and the second derivative is positive (concave up). Therefore, the point is a relative minimum.
Answer:
a=20 m²
b=21 cm²
c=36 dm²
Step-by-step explanation:
A) 12²+16²=a²
144+256=a²
400=a²
√400=a
a=20
B) 28²+b²=35²
784+b²=1225
b²=1225-784
b²=441
b=√441
b=21
C) c²+15²=39²
c²+225=1521
c²=1296
c=√1296
c=36
Answer: center is (-4,2) radius is 4
Step-by-step explanation:
Equation of circle
is (X-A)^2+(X-B)^2=r^2
The center Of The circle is (A, B)
The radius Of The circle is r
Comparing the given equation and the equation of a circle we get the center Of The circle as (-4,2) and then radius as 4
