5t 1+3t 2. Pumping stations deliver oil at the rate modeled by the function D, given by D(t)= with t measure in hours and and D(t) measured in gallons per hour. How much oil will the pumping stations deliver during the 4-hour period from t = 0 to t = 4? Give 3 decimal places.

Q: The volume of a right circular cylinder varies jointly as the height and the square of radius of the…

A: Given that:  Volume(V)=58096.28 cubic yards,r=29yards,h=22yardsand the right circular cylinder. A…

Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

Q: A balloon leaks air (changes in volume) at a rate of one-third the volume per minute. Write an…

A: Given : A balloon leaks air (changes in volume) at a rate of one-third the volume per minute.

Q: A police car traveling south toward Sioux Falls at 160km/h pursues a truck traveling east away from…

A: Given The speed (south toward) of the police car is 160 km/hour and the truck speed (east away) is…

Q: A lighthouse is located 40 meters off-shore. The beam of light from the lighthouse rotates at a rate…

A: We will use derivative to find speed of the beam

Q: A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A: Lets say there be Q gm of dye  in the tank at a time 't'

Q: When a skydiver jumps from an airplane, his downward velocity, in feet per second, before he opens…

A: As per the question, we are asked to determine the velocity of a skydiver after 6 seconds of jumping…

Q: A hot-air balloon is released at 1:00 P.M. and rises vertically at a rate of 6 m/sec. An observation…

A: We have to find equation of distance in the term of t