Step-by-step explanation:
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The provided equation illustrates the total distance Michael covered during an afternoon of sledding. In this equation, u represents the hours spent climbing the hill, while (u – 2) reflects the hours spent sledding down. To find the solution: The correct choice is D.
Answer:
Step-by-step explanation:
Considering the differential equation x^4(dy/dx) + x^3y = -sec(xy). We will solve it employing the method of separation of variables;

By substituting v and dv/dx into the previous equation, we acquire;

We then separate the variables:


The end expression provides the solution to the differential equation.
Step-by-step explanation:
Begin with expressing 492,623 in standard form.
4 hundred thousands + 9 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.
We can rephrase this in varied forms by shifting a digit to the next lower place value. For instance, shifting the 4 one place right results in 49 ten thousands:
49 ten thousands + 2 thousands + 6 hundreds + 2 tens + 3 ones.
Next, we can move 49 ten thousands one place right to express it as 492 thousands, and shift 6 hundreds right to yield 62 tens.
492 thousands + 62 tens + 3 ones.
Alternatively, we can phrase it as:
4926 hundreds + 23 ones.