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One integer is four times other. The sum of the integers is 5. What is the value of the lesser integer?
Let x = the lesser integer and now let y = the greater integer. The ?rst sentence in the question provides the equation y = 4x. The second sentence provides the equation x + y = 5. Substitute y = 4x within the second equation: x + 4x = 5. Combine like terms on the left side of the equation: 5x = 5; divide both sides of the equation through 5: 5x/5 = 5/5 . This provides a solution of x= 1, which is the lesser integer.
From the top of a 200 m lighthouse, the angle of depression to a ship in the ocean is 23 . How far is the ship form the base of the lighthouse?
Any point on parabola, (k 2 ,k) Perpendicular distance formula: D=(k-k 2 -1)/2 1/2 Differentiating and putting =0 1-2k=0 k=1/2 Therefore the point is (1/4, 1/2) D=3/(32 1/2
Write an octave program that will take a set of points {x k , f k } representing a function and compute the derivative at the same points x k using 1. 2-point forward di erence
If a pair of dice is thrown and X denotes the sum of the numbers on them. Find the probability distribution of X.Also find the expectation of X. SOLUTION: In a singl
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
how do u add them together?
What is the square root of -i and argument of -i Ans) argument of -i is 270 ad 1 is the square root of -i
Diagonals of a trapezium divide each other proportionally: Given : In trapezium ABCD , AB// DC R.T.P :AO/OC = BO/OD Construction: Draw the line PQ; parallel to AB or C
In a recent survey of 700 people, 15% said that red was their favorite color. How many people said that red was their favorite color? Find out 15% of 700 through multiplying 70
Monotonic, Upper bound and lower bound Given any sequence {a n } we have the following terminology: 1. We call or denote the sequence increasing if a n n+1 for every n.
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