Question

The area of the region bounded by curves \(y = sinx,y = cosx\) and the lines \(x = 0\), \(x = \frac{π}{4}\) is

• A. \(2\sqrt{2}-1\)
• B. \(\sqrt{2}-1\)
• C. \(2-\sqrt{2}\)
• D. \(\frac{1-\sqrt{2}}{2}\)

Hint:

Clear the fractional power by cubing before reading the degree.

Answer 1

The Correct Option is B

Step 1: Definition:
The degree is the power of the highest order derivative after the equation is made free from radicals and fractions in the derivatives.

Step 2: Apply:
The exponent $\frac73$ has denominator 3, so multiply by 3 to get 7 on the highest derivative. The order is 3 and the degree is 7 (A).

Final Answer:
3 and 7. \[ \boxed{3,\ 7} \]