Answer:
<h2 />
Step-by-step explanation:
given the differential equation x^4(dy/dx) +x^3y =- sec (xy). Solving using the variable separable method;

Substituting v and dv/dx into the equation above we have;

Separating the variables:


The final expression gives the solution to the differential equation.
Assuming both angles indicate a point on the unit circle in quadrant 1, which is described in polar coordinates as having a range of 0 to pi/2 or 0 to 90 degrees, the cosine of a value decreases as angle increases. Naturally, since cos t = 0.45 and cos w = 0.89, cos t < cos w, therefore t > w.
Answer:
<h2>34 earrings</h2>
Step-by-step explanation:
Step one:
given that the total lenght of the wire is 25 1/2 inches
in decimal, this is 25.5 inches
we are told that each earring requires 3/4 in of wire
in decimal this 0.75 in
Step two:
<em>The number of earrings that can be mad is found by dividing the total length of wire by the length needed to make one earring</em>
The number of earrings that can be made is given as
=25.5/0.75
=34 earrings
First you make -1 3/5 into an improper fraction, -8/5
Since you're dividing a fraction by another fraction you'd change it to -8/5 × -3/2
(Don't forget to flip -2/3 to -3/2)
when you multiply it it'd be 24/10
(It is a positive number because when you multiply two negative numbers it becomes positive)
24/10 as a mixed fraction is 2 1/5