We used Romberg integration to approximate ff(x) dx, we got R₁1 = R₂1 = R1 = and f(²)=2 Then f = 25 26615 34000

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: Find f'(x). f(x) = e Vx- VX-12 f'(x) =|

A: The given function is fx=ex-12.

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

A:

Q: Find f. f"(x) = 8x3 + 5, f(1) = 2, f'(1) = 3 %3D %3D f(x)

A:

Q: 7) A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is 40…

A: Given: A building is 300 feet tall. It casts a 165 foot long shadow. A statue near the building is…

Q: = cos(x + y), when x = 0, y = " %3D

A:

Q: 1/2 (1 - 2x) dx + (1 J1/2 - 2x) de = 22.5 2x dx=

A: To evaluate the following integral.∫-42 1-2x dx=∫-4121-2x dx+∫122 1-2x dx=?

Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: xux-yuy+y2u=y2x find the general solution

A:

Q: Solve the D. E. to the I. V. P. sinx(e-y + 1)x' – cosx = 1, y(0) = 0 %3D %3D (1 – e') (1 + cos.x) =…

A: We will find out the required solution.

Q: •3 Find the value of f(x) dx, given than +3 f(x) is even, ſ'¹₁ f(x) dx = 5, and ſ³3 ƒ(x) dx = 10. ·3…

A:

Q: Find f. f'(x) = 1 + 3/x, f(4) = 28 х, %3D

A:

Q: Find f'(x) and f'(c). Function Value of c x² – 4 f(x) = C = 1 %3D х — 8

A:

Q: y = tan In(x + sin x) %3D y = sin x + In sin e* %3D

A: y=tan ln(x+sinx) y=sinx+ln sinex

Q: Given f'"(x) 3x- 1 and f'(-3) = 5 and f(- 3) = 2. | Find f'(x) = and find f(2) = %3D

A:

Q: Find the given derivative 6 Dx 7x 1 Dx 7x 5 LN +

A:

Q: Find dy/dx ln(x+y)-cos2y-x^2=0

A: Revise this before doing the question:

Q: x2 - 3x/5 + 1 dx 1/2 3r7/s

A:

Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

A:

Q: +/t%edt 1. 2. Se-x/2dx 3. 3*e*dx

A:

Q: solve dx dt. (1 = 72 X -2 7 with X (0) = 3 L2

A:

Q: Given f''(x) = 5x + 1 and f'( – 1) = - 5 and f( – 1) = 4. %3D Find f'(x) = and find f(2) Preview…

A:

Q: '5 '5 If f(x) dx = 8 and f(x) dx = 5.8, find f(x) dx.

A:

Q: Given f''(x) = 4x – 5 and f'(– 3) = 3 and f( – 3) = 6. Find f'(x) = and find f(3)

A:

Q: Given "(1) = 9x + 2 (1),.. and f'(0) = - 5 and f(0) = Find f'(x) = und find f(3) =

A:

Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c.…

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: f"(x) = -2 + 24x – 12x2, f(0) = 3, f'(0) = 18 %3D %3D

A:

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: dy/dx = 6x^5sqrt(y-1) equals to y = [(1/2)(x^6+c)]^2 + 1? Diff eqn.

A: ∫tndt=tn+1n+1+cgiven  dydx=6x5y-1          dyy-1=6x5dxintegrate both sides