Answer:
The equation of the sphere in standard form is

Step-by-step explanation:
<u>Step 1</u>:-
The equation of the sphere having center and radius is

Given centered of the sphere is (-6,10,5) and radius r=5

on simplification,we get


simplify , we get

Answer:
Step-by-step explanation:
They're both right angle triangles and have the same length and size , hence congruency
T = 5 a
i = 4% aa
j = 1200
c = ...
j = cit/100
c = 100j / it
c = 100*1200 / 4*5
c = 120000 / 20
c = 12000/2
c = 6000
montante
M = c+j
M = 6000+1200
M = 7200
It depends on what you mean by the delimiting carats "^"...
Since you use parentheses appropriately in the answer choices, I'm going to go out on a limb here and assume something like "^x^" stands for

.
In that case, you want to find the antiderivative,

Complete the square in the denominator:

Now substitute

, so that

. Then

which simplifies to

Now, recall that

. But we want the substitution we made to be reversible, so that

which implies that

. (This is the range of the inverse sine function.)
Under these conditions, we have

, which lets us reduce

. Finally,

and back-substituting to get this in terms of

yields