Question Solve: x-x+ 5y₁ = + 4" - 4y - 2x² = -2 with x (0) = y(0) = x² (0) = y² (0) = 0 Let & {√x (²) } = U (²) & 2 (y (+)} = V(6) Evaluate U(2) Evaluate V(²) Evaluate x(1) Evaluate y(1)

Q: S(3x+1) (3x²+2x+1)³dx

A: I=∫(3x+1)(3x2+2x+1)3dxSubstitute 3x2+2x+1=u

Q: (3x-1)2/x+1

A:

Q: J(x-3x)dx = x' 3x +C 2 -3х + С 4 b. 3x-3+C 3x+C 4 4x* -6x +C

A:

Q: what if y(0) = 6 instead?

A:

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: ((x-1/4y-1)-3)/ (x5/4y0)

A:

Q: Solve (D2+20D+200)y = 10 O y = e-10x (c₁sin10x + c₂cos10x) + 20 Oy=e-10x (c1sin10x + c₂cos10x) +…

A: Given

Q: To produce x units of some product a company spends C(x)=ax2+bx($), where a and b are real numbers.…

A: Sale value, S(x) = Sale price x sale volume = px Profit function = Sale value - cost Hence, P(x) =…

Q: -x+y = 3 -43-2-1 0 2 3 4 5x %3D4

A:

Q: [f^(x) = 1/² + If and f-¹ (5) = 6, find k.

A: