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Application of Calculus-Optimization problem
Two vertical poles PQ and ST are secured by a rope PRS going from the top of the first pole to a point R on the ground between the poles and then to the top of the second pole as in the figure. Show that the shortage length of such a rope occurs when θ1 = θ2
The slope of tangent line
Permutation and combination to find number of ways
Formulate the above as linear programming problem. Solve (a) by graphical method. Solve using simplex method.
Find whether the given expression is a function or not - Which of the following are functions? The last two problems, i.e., b & c, are multi part relations consider all parts when determining whether or not these relations are functions.
Evaluate the sequence generated by generating functions
Ron the realtor is offered a job directly out of real-estate school. he has a selection as to which way he will receive his salary the first year.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Factoring is the problem of computing, on input a positive integer n, a factorization of n in terms of prime powers
Integration by parts method - How much longer would the worm be at t = 2, if it always grew at the maximum rate? Use Integration by parts.
Use mathematical induction to solve the equation.
Calculate the probability that the rent of a randomly selected unit.
The exact value of the indicated trigonometric function.
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