Answer:
n = 64
Step-by-step explanation:
We can solve using cross products
10/15 = n/96
10*96 = 15*n
960 = 15n
Divide each side by 15
960/15 =15n/15
64 = n
Answer:
425
Step-by-step explanation:
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
Given:
The function is:

To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,

Step 1: Substitute
.

Step 2: Interchange x and y.

Step 3: Isolate variable y.


Step 4: Substitute
.

Hence, the inverse of the given function is
and the graphs of these functions are shown below.