Find 0 (t) where 0 (t) = 0 + Ot. B

Q: Vy - y 3 b) dy 2 y²

A:

Q: 3 Using appropriate substitutions evaluate V9 – x² dx

A: To find : Evaluate the integral given in the question.

Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: dx Evaluate: 9 – x2 6,

A: folllow next step

Q: dx Evaluate: N6 – x –. dx Evaluate: Vx + x + 1

A:

Q: The park across the street is to be treated to control a new algae that is growing on top of the…

A: Given, f(t)=y=25t²-300t+600 The given equation is that of a parabola. It is of the form,…

Q: (4D3 + D)y = e2x

A:

Q: x /[x² – 9[ + 7 dx

A: LetI=∫07xx2-9+7dxEliminate absolute valueI=∫07x-x2+9+7dxI=∫07x-x2+16dxPut…

Q: x2 dx Lo (x2+3)²

A:

Q: 6. Find (x + 3y)dA where D = {(x, y) | æ² + y 0}

A:

Q: (e) S (s² + a²) (s²-b²)

A:

Q: C. Given :v (3t x)e-2t %3D 2. Find ardx

A:

Q: y = 2t + t2 – 2(In t)² d.

A: y = 2t + t2 - 2(lnt)2

Q: Evaluate : ((x + Vx² +1) dx.

A: To find ∫x+x2+1ndx

Q: find the answer T(4). (B(4) X N() -

A:

Q: w(r) = Vr4 + 4| dw dr

A: Given :   To find

Q: Evaluate: | V12 – 2| +x dx

A: Explanation of the answer is as follows

Q: dx |Vx + 5

A: Explanation: Given that,  ∫xx+5 Let  u=x+5du=12x+5dxdx=2x+5du Now…

Q: dy Use the RK2 method to evaluate y(1.05) given that = 3et + 2y and y(0.90)=22.3054. Enter your…

A: Ruge-kutta method of order 2.

Q: z 1 dz 54. z(z 4)

A: Partial fraction:

Q: 3) [ dx (x²+3)7/2 =

A:

Q: Find с dz 23 (2+4) > where C: 13+21=3.

A:

Q: Find F(0) if F (t) = L 16 2 (s+4) O 16 O 4

A:

Q: Find the length of x: 9. 16

A: