The Fourier sine series of the function is given by 3x f(x) = = if 0x5/3 5 if 5/3 x < 5 where bn b₁ = ☐ ∞ ƒ(2) ~ Σb, sin (n = 2) n=1 (품)

sec“(2x) 9.S (tan 2x–4)**

Need typed solution Find the Fourier sine and cosine transform of the function  x^(m-1).

-1 L sin(2t)}

2. Prove that dx (2x+1)}] (2x+1) (4x-19) X-3 (x-3)² = Then, -5 (2x+1)²(8x-38) 3(x-3)² -dx.

sin( 2 cos (x/ 20)) = Select one: O 2x ( 400 - x )*./(400 - 2x) O 40 x / (400 + x) O ( 2x - 400 ) /400 O (400 - 2x)/400 O 40 x/(400 - x) O 2x( 400 - x)*/(2x-400) O 2x(400 - x )*/ 400 O None 0 (400 -x)/(400 + x') REDMI NOTE 9 PRO ♡ 7ATAB_26

Approximate f' (2) using the given data f(0) = -8, f(1) = -7, f(2) = 0, and f(3) = 19 and the Newton's divided-differences interpolation polynomial. O -7 O 12 O 17 O 15 O 10

Show that cosh (3x) = 4cosh³r - 3 cosh T.

15

Solve for all values of z if (z-1)^3=i