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1. Consider the following differential equation with initial conditions: t 2 x'' + 5 t x' + 3 x = 0, x(1) = 3, x'(1) = -13. Assume there is a solution of the form: x (t) = t
Find the least number that is divisible by all numbers between 1 and 10 (both inclusive). Ans: The required number is the LCM of 1,2,3,4,5,6,7,8,9,10 ∴ LCM = 2 × 2
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Optimization : In this section we will learn optimization problems. In optimization problems we will see for the largest value or the smallest value which a function can take.
find the number of ways 17 employees can b chosen from 327
Testing The Difference Between Two Sample Means (Large Samples) A large sample is defined as one which have 30 or more items as n≥30 whereas n is the sample size In a busine
Nine minus five times a number, x, is no less than 39. Which of the subsequent expressions represents all the possible values of the number? Translate the sentence, "Nine minus
For complex number z, the minimum value of |z| + |z - cosa - i sina|+|z - 2(cosa + i sina )| is..? Solution) |z| + |z-(e^ia)| + |z-2(e^ia)| we see.....oigin , e^ia , 2e^ia , f
Special Forms There are a number of nice special forms of some polynomials which can make factoring easier for us on occasion. Following are the special forms. a 2 + 2ab +
a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k
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