Can anyone give me a through explanation and answers from Questions 23 to 29?

4x + 2x 23. Solve the differential equation: dy dx + x4+ 02+ 1 + 23/5 +8. 24. If F(t) = e" + t is an antiderivative of a function f(t), then solve the initial value problem: dy = f(t ), dt= y (0) = 8. 25. A Mustang GT is traveling along a straight road at 150 feet per second when the driver steps on the break. At that point the car starts decelerating at a constant rate of 30 feet per second squared until it stops. How long does it take to stop? What is the concavity of the position function? Ans: 5 sec, concave down. 26. What information about a function f(x) does the sign of the derivative f' (x) provide? 27. What information about a function f(x) does the sign of the second derivative f"(x) provide? 28. Is it possible to cover the whole xy-plane with graphs of antiderivatives of the function f(x) = x? Explain! 29. What is Calculus good for? io - Ryan R