AboutScotto Expertise Any kind of mathematics (algebra, geometry, trigonometry, matrices, calculus, linear approximation, linear regression, linear programming, numerical analysis, probability, statistics, etc.). I also have answered some questions in Physics, Chemistry, and Biology. I would like to volunteer in all areas of Mathematics, not just calculus, and the other three courses that were mentioned.
Experience Experience in the area: I have tutored students in all areas of mathematics for over 20 years.
Education/Credentials: BSand MS in Mathematics from Oregon State University, where I completed sophomore course in Physics and Chemistry. I received both degrees with high honors.
Awards and Honors: I have passed Actuarial tests 100, 110, and 135.
Question I tried to work on these problems but I'm not completely sure how to start it and if I was doing it right.
A car passes over a bridge at 15.0 m/s at the same time a boat passes under the bridge at a point 10.5m directly below car. If the boat is moving perpendicularly to the bridge at 4.0m/s, how fast are the car and the boat separating 5.0s later?
A weather balloon leaves the ground 275m from an observer and rises vertically at 12.0m/s. How fast is the line of sight from the observer to the balloon increasing when the balloon is 450m high?
Answer The car is moving one way at 15 m/s and the boat is moving 4 m/s.
Multiply the speed by 5 seconds to get how far they have gone.
Let c = car distance, b = boat distance, k = diagonal.
The equation would be b^2 + c^2 = k^2. Take the derivative with respect to t with b, c, and k all functions of t. The variables b and c were calculated, and then k can be found. db/dt and dc/dt were given. The equatioin is 2b(db/dt) + 2c(dc/dt) = 2k(dk/dt). Solve for dd/dt.
