Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years passed. Figure out how long it would take the scientific sample to decay to 20% of its starting amount. (your answer should be in years and contain no decimals)

Q: dout 2 *Property of STI Page 2 of 4 IT1903 Rounded - Since the problem states each Round – off Error...

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Q: Primal Dual max zp = 5x1+ 4x2 s.a 6x1 + 4x2 S 24 X1+ 2x2 56 -x1 +x2s 1 x2 52 min zd = 24yı + 6y2 + y...

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Q: a. (x² + y?)dx + 2xydy = 0 a?u b. ax2 a?u a?u = 0 əz? ду? c. yy"= x d²y d²x d. x +y dt2 C1 dt2 e. y"...

A: The order of a differential equation is defined as the order of derivative.

Q: Evaluate the Laplace transform of the following: sta 1. Prove: L{e-at cos kt} = using the integratio...

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A: Concept: Various graph of diffrent polynomials is explained below:

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A: The complete proof is in given below  

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Q: di L- + Ri = E dt i(0) = io L, R, E and io are constants.

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Q: L{S, t² cos t dt} 7. (1, 0st<4 8. G(t) =}0, 4<t <5 (1, t25

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Q: Assessment 1. Directions: Identify each shape by shading the appropriate boxes. 1. Convex Convex Con...

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Q: 2. (10 points) Find the left and right cosets of ((12)) in S3.

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: 10. Prove the following statement by contradiction. “V odd inte- gers a and b, 4 { (a² + b²)."

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Q: Show that (a) S' = {z= a + bi E C|a, b E R, |2| = a² + b² = 1} is a subgroup of C*. cos O – sin 0 (b...

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Q: Find the parer series expansion Of tete -

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Q: In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively. ...

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A: Let x represent number of pounds of peanuts, y represent number of pounds of  cashew and z represent...

Q: one of the More important the orem {n real analysis is faton's Iemmar state the lemma aud say some t...

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Q: Using integration by parts, find the Laplace transform of the given function; n is a positive intege...

A: Given f(t)=tneatwhere n is a positive integer and a is real constant. We have to find the Laplace tr...

Q: If the sum of first n even natural number is 420,find the value of n

A: Problem:- If the sum of first n even natural number is 420,find the value of n first n even natural ...

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Q: 3. Show that if a and b are integers such that alb, then ak|b* for every positive integer k.

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Q: EX show that 2. J능 (x)

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Q: (b). Answer the True/False questions in Crowdmark. i) xP-7 is convergent when p< 6 ii) If f is conti...

A:  State which statement is true or false :-

Q: Q1/ Find all the second-order partial derivatives of the functions 1. g(x, y) = xy + cos y + y sin x

A: To find- Find all the second-order partial derivatives of the functions gx, y = x2y + cos y + y sin ...

Q: Direction: Determine if it is a mathematical sentence or an expression. 3x3 + бх -4 4 3. 3 The provi...

A: In order to determine whether it is a mathematical sentence or an expression, note that, whenever co...

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 9s – 10

A: Note:- L-11s+a =e-a t ; s&gt;-a   Given function is Fs =2s2 +9s-10

Q: The curve C, is an arc of the unit circle centered at the origin. Show that: (a) The scalar curl of ...

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Q: Assuming the truss members only bear axial loads, the following set of 10 equations can be determine...

A: Assume the truss members only bear axial loads, the following set of 10 equations can be determined:...

Q: y' + y = 8 (t – 3), y(0) = 1, y (0) = 0 Find y (). ( sqrt(2) means v2) sqrt(2)/2 -sqrt(2)/2 1 -1 sqr...

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Q: arbitrary constant elimination

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Q: What is the decimal fam - 2 -6 2. x 34 33늘 % Das Fu ன் த ச ம 2-2 -2 2. 2x 2 X 2 3X 3 4 x 3 2 2X2X2X

A: Given a 8-2b 2-6×34c 3312%

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Q: x" cos h(x) dx

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Q: 13. Use diagonalization to compute A2n+1, where n a positive integer. 1 A =

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Q: Find the value of J/2(x)

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Q: Match each series with the test that most efficiently determines whether the series converges. n² + ...

A: Given series which we have to match with the tests that shows that they are convergent. i)∑n=1∞n2+3n...

Q: 3. Let f : A → B. Then 1gf = f and f14 = f. Hint. You may use the fact that fg, for functions f, g, ...

A: Let               f1 : X→Y , f2 : X→Y be two functions, then we say that the functions f1 and f2 are...

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A: Power of a matrix using PDP^-1

Q: Let suppose integers are randomly selected. Prove that the difference of two of them is divisible by...

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Q: Exercises -4x + 10y = 1 olve the following using the inverse matrix method: 6x y = 0 4y = (a) 2x (c)...

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Q: y =- Inx; x?y" + xy' – y = lnx %3D х

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: 1. Determine the following information regarding each function step by step and then sketch its grap...

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Q: O Showing all your working, find the solution set which describes the area shown in purple below. 10...

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Q: Determine which of the following transformations are linear transformations. OA. The transformation ...

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Q: Prove that {4- ) is an open cover of (0, 4), but that this cover has no finite subcover. k=1 This im...

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Q: On which of the following intervals is f(x) = continuous? %3D x-

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Q: (b) Let z = 24695 + 99288 i. Enter a square root of z, in maple syntax, in the box below.

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