Chapter 5, Problem 158P

Correct answer only please. I will upvote. The velocity of a particle moves along the x-axis and is given by the equation ds/dt = 40 - 3t^2 m/s. Calculate the acceleration at time t=2 s and t=4 s. Calculate also the total displacement at the given interval. Assume at t=0 s=5m.Write the solution using pen and draw the graph if needed.

I want the steps of operation of the circuit, clearly in detail. Please. LV1

Complet the solution: Vavg Ti Te Ts Qhexp Nuexp htheo Re Nutheo Error (m/s) (°C) (°C) (°C) (W) 2.11 18.8 21.3 45.8 2.61 18.5 20.8 46.3 Heat transfer Given data: a= 10 cm. L= 10 cm. b= 20 cm. H=40cm. ⚫ a = 10, cm: This could represent the width of the duct. ⚫b=20, cm: This might be the height of the duct. ⚫L = 10, cm: This usually stands for the length of the duct in the direction of flow. ⚫H=40, cm: This could indicate the height of some component or another duct-related dimension, but the exact meaning depends on the experiment's context.

please explain each step and include drawings on the phase diagram. thanks

Write clearly which points correspond to concentration of solute in front of alpha, concentration of solute in front of beta, amount of solid in the liquid in front of alpha/beta, lowest possible energy (tangent), as well as any other important information.  Thank you

Q3: A 4-stroke 6 litres engine is fuelled with methane (CH4) at an air-fuel ratio = 0.8. It operates at 2000 rpm with a volumetric efficiency of 80%. The exhaust (product) leaves the engine at 800 K, and the heat lost to the coolant is 3.4×105 kJ/kmol. What is the engine's output power? Assume both air and fuel (methane) inlet to the engine at 298 K. Take for methane, the molecular weight is M = 16 kg/kmol, and the heat of combustion is 50.01 MJ/kg. The ambient conditions (p = 101 kPa, T = 25 °C). (24 points)

Temperature (°C) 100 4. Consider the solidification of a binary Pb-10%Sn alloy. Assume that during solidification, there is complete mixing in the liquid and no diffusion in the solid. Use the phase diagram below to answer the following question. (a) Draw (on the phase diagram) the compositions of the liquid and the solid at the interface as a function of temperature during solidification. (b) Illustrate on the phase diagram how one would calculate the volume fraction solidified at a given temperature. (c) (d) Indicate the temperature at which solidification is complete. Do you expect ẞ to be present in the as-cast microstructure? Explain 300 327°C 200 a (Pb) 20 20 a + L 18.3 183°C α + β 40 60 Composition (wt% Sn) Liquid 600 500 232°C B+L 400 B 61.9 97.8 300 808 100 (Sn) 200 100 Temperature (°F)

I tried this problem a couple of times and don't know where I'm going wrong can you help me out please

y(0)=1, Using Laplace transforms solve the following differential equations : 11) y"-4y+4y=0, 12) y+2y+2y=0, y(0)=2.1, y'(0) = 3.9 y'(0)=-3. 13) y+7y+12y=21e", y(0)=3.5, y'(0)=-10. 14) +9y=10e. y(0)=0, y'(0) = 0. 15) y+3y+2.25y=91³ +64, y(0)=1, y'(0) = 31.5 16) -6y+5y= 29 cos(21), y(0)=3.2, y'(0)=6.2 17) "+2y+2y=0, y(0)=0, y'(0)=1. 18) +2y+17y=0, y(0)=0, y'(0)=12. 19) y-4y+5y=0, y(0)=1, y'(0) = 2. 20) 9y-6y+y=0, y(0)=3, y'(0)=1. 21) -2y+10y=0, y(0)=3, y'(0)=3.