Substitute
, so that

Then the resulting ODE in
is separable, with

On the left, we can split into partial fractions:

Integrating both sides gives




Now solve for
:


Answer:
$182.60
Step-by-step explanation:
From my notes I’ve the derivative of arctan(x)= 1/(1+x^2)
Answer:
$0.22
Step-by-step explanation:
Now we know that 8 ounces total to $1.76. That means that in order to find how much 1 ounce costs, we will end up dividing both sides by 8
8 oz = $1.76
8 oz / 8 = $1.76 / 8
1 oz = $0.22
So, we now know that 1 oz is equal to 22 cents. You can also confirm your answer by multiple 0.22 by 8, and you'll see that you'll get 1.76
Sketch a right
triangle having adjacent side(A) is given as “3”, hypotenuse side (H) is “x”
and assigning angle “a” as the angle between A and H. Using Pythagorean theorem,
you will get “square root of x-squared minus 9” as the opposite side (O). Using
SOH CAH TOA function, and since secant is the reciprocal of cosine, sec(a) =
x/3. Thus, a = arcsec(x/3). The remaining expression tan(a) is Opposite side
over Adjacent side which is equal to “square root of x^2 - 9” over "3". Therefore, the
algebraic expression would be: tan(arcsec(x/3)) = “sqrt (x^2 -9)” /3. Different answers can be made depending on which side you consider the “3” and “x”.