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A tank contains 100 gal of brine made by dissolving 60 lb of salt in water. Salt water containing 1 lb of salt per gallon runs in at the rate of 2 gal/min and the well-stirred mixture runs out at the same rate of 3 gal/min. Find the amount of salt in the tank after 30 minutes.
ACTIVITY IN BASIC CALCULUS
BASIC RULES IN DERIVATIVE
Complete the blanks of the given function below with a number (except 0 and 1) to create your own problem and find the derivative of the function. Show your complete solution to each problem.
1. f(x) = -4x5+ ______x-4 - 2468
2. f (x) =____x-3- _____x1/4 - 12x
3.f(x)= ____ "\\sqrt[4]{x^3} - \\underset{x^6} + \\frac{2}{3} x^6"
4.f (x) = "\\underset{x^-6}{=} -" ____ x2 + "\\sqrt[4]{x}"
A bird feeder stands perpendicular to the ground. In the afternoon sun, the bird feeder's shadow is half its height. If the distance between the top of the bird feeder and the top of the shadow is 19 feet, how tall is the bird feeder and how long is its shadow?
please explain to me how you got the answer
Three sets of twins are to pose for photographs. How many photographs are possible if each set of the twins are to stand close to each other?
In how many ways can 6 people be seated for group photographs if there are only 4 seats?
How many ways can 4 baseball players and 3 basketball players be selected from 12 baseball players and 9 basketball players?
12 students are to pose for photographs after a social gathering at FCT. 4 students are from Lagos state, 3 are from Kano state and the remaining are from Kwara state. How many possible photographs can they take if students from the same state must stand close to one another?
How many ways can 3 cars and 4 trucks be selected from 8 cars and 11 trucks to be tested for a safety inspection?
12 jobseekers applied for 3 available vacant positions in a company. In how many ways can the job be offered among these applicants if a particular applicant must be employed?
In how many ways can a family of six be seated on a bench if the parents must sit at both ends?
