logic family, Mathematics

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Calculas, Q1: Find three positive numbers whose sum is 54 and whose product...

Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

Determine the conditional probability, Consider a class of 55 students. The...

Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement. a) If the first person drawn was named the class presi

Prove that bd/cd = bf/ce, In the given figure, ∠AEF=∠AFE and E is the mid-p...

In the given figure, ∠AEF=∠AFE and E is the mid-point of CA. Prove that BD/CD = BF/CE Ans:    Draw CG ¦DF In ΔBDF CG ¦ DF ∴ BD/CD = BF/GF     .............(1)

Differential equation to determine initial value problem, Solve the subsequ...

Solve the subsequent IVP. cos(x) y' + sin(x) y = 2 cos 3 (x) sin(x) - 1 y(p/4) = 3√2, 0 Solution : Rewrite the differential equation to determine the coefficient of t

Sketch the graphs, Sketch the graphs of the following functions: (A) y =...

Sketch the graphs of the following functions: (A) y = 1/(x 2 +1) (b) x=  sin x,

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