For this case we have the following equation:

Where,
w: The weight of a spring in pounds
E: the energy stored by the spring in joules.
Substituting values we have:

Making the corresponding calculation:
Answer:
the approximate weight of the spring in pounds is:
I believe the answer is the last one (D), because if n is 33 than 33 + (33+1[34]) = 67.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the partial derivatives indicated Assume the variables are restricted to a domain on which the function is defined. z=
+
+
a) Zx b) Zy
In differentiation, if y = axⁿ, y' =
. Applying this in question;
Given the function z = x⁸+
+

Note that y is treated as a constant since we are to differentiate only with respect to x.
For Zy;

Here x is treated as a constant and differential of a constant is zero.
$300 income
$250 + $100 = $350 expenses
$300 - $350 = a loss of $50
The solution would be like this for this specific problem:
sin(θ°) = √(2)/2
θ° = 360°n + sin⁻¹(√(2)/2) and θ° = 360°n + 180° −
sin⁻¹(√(2)/2)
θ° = 360°n + 45° and θ° = 360°n + 135° where n∈ℤ
360°*0 + 45° = 45°
360°*0 + 135° = 135°
360°*1 + 45° = 405°
<span>sin(225°) = -√(2)/2
</span>225 has an angle where sin theta= -(sqrt2)/2 therefore, the value of theta
cannot be 225 degrees.