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5.02
How many arrangements can be made from the letters of the word " VENUS " such that the order of the vowels remains the same?
The probability that a certain region in mexico will be hit by a hurricane in any given year is .06. What is the probability that the region will be hit by at least one hurricane i
Solve the subsequent IVP. y′′ + 11y′ + 24 y = 0 y (0) =0 y′ (0)=-7 Solution The characteristic equation is as r 2 +11r + 24 = 0 ( r + 8) ( r + 3) = 0
assignment of mathematics in b.sc. 1sem
Multiply following and write the answers in standard form. (a) 7 i ( -5 + 2 i ) (b) (1 - 5 i ) ( -9 + 2 i ) Solution (a) Thus all that we have to do is distribu
sin (cot -1 {cos (tan -1 x)}) tan -1 x = A => tan A =x sec A = √(1+x 2 ) ==> cos A = 1/√(1+x 2 ) so A = cos -1 (1/√(1+x 2 )) sin (cot -1 {cos (tan -1 x)}) = s
If d is the HCF of 30, 72, find the value of x & y satisfying d = 30x + 72y. (Ans:5, -2 (Not unique) Ans: Using Euclid's algorithm, the HCF (30, 72) 72 = 30 × 2 + 12
Evaluate the following integral. ∫ (x+2 / 3√(x-3)) (dx) Solution Occasionally while faced with an integral that consists of a root we can make use of the following subs
Liner Regression The calculations for our sample size n = 10 are described below. The linear regression model is y = a + bx Table: Distance x miles
Find the probability of having 53 Sundays in (i) a leap year (ii) a non leap year (Ans:2/7 , 1/7 ) Ans: An ordinary year has 365 da
Ans) 4.61 By solving tan(45/2) using formula tan(A/2)=under root 1-cosA/1+cos A. take tan(45/4) as tan((45/2)/2)
Ans) 4.61
By solving tan(45/2) using formula tan(A/2)=under root 1-cosA/1+cos A.
take tan(45/4) as tan((45/2)/2)
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