Use Eulenis methed to caleulate the first thnee value problem Size. Caleulate ke 1. approximation to for the speei fhes incre nent ex act solution. y +2x), Y(1) inttial en dx = 0 - 1 2 Y=? Y2-2 All have teo write 4 decimal places ? Y(exact)=? बोि

Q: 0.7.8: Solve: dA HP а) = -10A, A(0) = 5 b) 3 ЗН, Н(0) 3 1 dt dx d²y с) = 4y, y(0) = 0, y'(0) = 1 dx2…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 10. A trough with length of 15 m is filled with water. The ends of the trough have a parabolic shape…

A:

Q: dy x*y3 = X dx and y(0) = 2.

A: find the solution of the given differential equation

Q: 2) Fad the Center i Radius of the Crck delined by x*sy'sX+v== DO NOT need to draw the Circle.

A: Try to make the given equation as standard form of equation of circle and than compare with it.

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: 9. The surface area of a cylinder is A = 2h+2². If the radius is measured to be 6 inches with a max…

A: Given, Surface area of cylinder, A=2πrh+2πr2 Given radius r=6in with maximum possible error dr =…

Q: 5) [xe*dx (Use Integration by Parts) 6) If [g(x)dx = (8x“ + 2)* +C, find g(x).

A: We will use integral by parts to solve the first given question and differentiation to solve the…