A thick cable, 60 ft long and weighing 180 lb, hangs from a winch on a crane. Set-up the integral for the work done if the winch winds up 25 ft of the cable. 25 180 dx 180xdx (180-x)dx (180-3x) dx 25 25 25 ° (180

Q: You have your ear against a new speaker when it emits a sounds with an intensity of 160 decibels

A: 1)Sounds below 70db don't cause any hearing damage.   2) Beyond 70db sounds isn't good for your ears…

Q: sec²(,Æ) 24. dx

A:

Q: Jesc'x dx

A:

Q: Integrate the following: dx J 4x2 + 1

A: ∫1x2+a2=1atan-1(xa)  Here we use u-subsitution .

Q: æ+ 6 +3x

A: The integral ∫x2-x+6x3+3xdx, we have to evaluate the value of this integral.

Q: Please explain using text (Keyboard txt not handwriting since is easier to understand) why the…

A: We will consider an arbitrary function f for z in variables x,y and express dz in terms of δx,δy,δz…

Q: 7. dx x2 – 10x + 25

A: ∫xndx = xn+1n+1+c We use substitution method in this question .

Q: proke that lose ch?e %3D (0nsiden

A: To prove that Cosech^2x=coth^2x-1

Q: Find x³ + 6x°) dx Preview

A: Given integration:

Q: T/2 X dx tan 2 33.

A: We have to find out integral

Q: du dv  = uv9sin v10u = 6 when v = 0

A: dudv=uv9sinv10by using variable separable methodduu=v9sinv10dvintegrate both…

Q: 1. | costx dx 4. Cos*X

A: