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Tom has five times as many marbles as Jim. together they have 42 marbles. how many marbles does each has?
How many ways can 4 DVDs be arranged on a shelf? Solution: There are 4 ways to choose the first DVD, 3 ways to choose the second, 2 ways to choose the third and 1 way to choo
factorize the following algebraic expressions
Find the Laplace transforms of the specified functions. (a) f(t) = 6e 5t + e t3 - 9 (b) g(t) = 4cos(4t) - 9sin(4t) + 2cos(10t) (c) h(t) = 3sinh(2t) + 3sin(2t)
Differentiate following. Solution : It requires the product rule & each derivative in the product rule will need a chain rule application as well. T ′ ( x ) =1/1+(2x) 2
Nick paid $68.25 for a coat, including sales tax of 5%. What was the original price of the coat before tax? Since 5% sales tax was added to the cost of the coat, $68.25 is 105%
Solve : 4x2+2x+3=0 Ans) x^2 + (1/2)x = -(3/4) (x+1/4)^2 = 1/16 - 3/4 = -11/16 implies x = (-1+i(11)^(1/2))/4 and its conjugate.
The vector a → =(2,4) compute 3a → , ½ a → and -2a → . Graph all four vectors on similar axis system. Solution: Now here are the three scalar Multiplication 3a → = (6,
Explain Congruum?
write FORTRAN programme to generate prime numbers between 1 and 100
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