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Q: suppose that the half-life of a cesium in 30 years.if there were initially 1000g of the substance.( ...

A: The radioactive decay is modelled using the formula: N(t)=N0e-kt, where N0 is the initial amount and...

Q: 2. What is the monthly payment for a loan of 100,000 over 5 yea nominal interest rate is 12% compoun...

A: This is a problem of financial math, series.

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Q: ne series for an ev

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Q: 3. TRUE or FALSE. a. } E (1, 2, 3, 4). b. (1) E (1, 2, 3, 4). C. Ic{1, 2. 3, 4). d. )< (1, 2, 3, 4)....

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Q: Solve the below system using Guass Elimination method only.                                         ...

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Q: What is the sum of the multiples of 5 between 12 and 92?

A: We have to find the sum of the multiples of 5 between 12 and 92. First we will identify e multiple o...

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Q: the Truth Table for

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Q: Which glass will be filled first? sh 3 6 4 7

A: We will use simple logic here

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A: We will use basic concept of LPP here

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Q: If sequences {a} and (b converge to limit a and , respectively, then which of the following statemen...

A: Option (A)

Q: 4. More weak induction Use weak induction on n to prove the following claim: n! 1

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Q: Four whole numbers are each rounded to the nearest 10 The sum of the four rounded numbers is 90 What...

A: Given: Four numbers each rounded to the nearest 10. Sum of the four rounded number is 90.

Q: x´+ bx +90

A: The discriminant, D,  of the quadratic equation: ax2+bx+c=0 is calculated using the formula: D=b2-4a...

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Q: Consider the function f(x,y, z) = ry+ y² + z?. (a) What is the gradient grad f of f, and what is its...

A: Given fx, y, z=xy+y2+z2 (a) We shall find the grad f  and its value at the point 2, 1, 1

Q: 1. Sequence Consider the sequence {an}neN where an = 2" – 3". (a) Write the first five terms of the ...

A: according to Bartleby policy we can do only first question.

Q: Use the basic probability principle to solve the following problem. Express each probability as a fr...

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Q: 1. Prove the following using direct proof. a. If 5x – 3 = x + 5, then x = 2. b. If x and y are both ...

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since th...

Q: If all the vertices in a graph G have degrees less than or equal to k, then x(G) _ k + 1. Fill in th...

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Q: ײ-27,what factoring techniques will be use? A.GCMF, Sm of two squares b.GCMF,Sum of two cubes

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Q: (-4+ 7i)+(8- 9i)

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Q: Q4) By using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z. Ma...

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Q: Show that -p> (q > r) and q → (p V r) are logically equivalent.

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Q: Suppose that f(x, y) is a differentiable function, and that (P] g(u, v) = f(e" + sin v, e“ + cos v)....

A: Given that gu,v=feu+sinv,eu+cosv

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A: First find in how many ways can women and men be chosen.

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A: Given: The x-coordinate of a particle is always increasing. The particle moves along a line segment ...

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Q: Show that we can partition 10 people into 5 groups of 2 people each in exactly 945 ways. Justify you...

A: We have to prove the given answer.

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A: The given question is related with parabola. We have to find the differential equation of the family...

Q: Exercise 4. Is it possible to have nonzero vectors u, v in V with uv = 0? Why or why not? (Here the ...

A: Given: 4) V is a subset of vectors in Hamilton's quaternions. To explain: Why or why not there are v...

Q: Find the transform. Show the details of your work. Assume that a, b, w, 0 are constants. 1.5 sin (3t...

A: Use the following formulae, to obtain the solution. Laft=aLftLsinat+b=ssinb+acosbs2+a2sin-θ=-sinθcos...

Q: A farmer is going to divide her 40 acre farm between two crops. Seed for crop A costs $10 per acre. ...

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Q: Find the Fourier series of following functions 1. Find a Fourier series to represent, ƒ(x) = x – x f...

A: (1) given a function f(x) = π-x ,  0&lt;x&lt;2π we have to find the Fourier series for given functio...

Q: Dhet (@s+ is aring of complex numbers ant M be aring of2 matrices aud g e-DM, défined as follows:. s...

A: Its not a ring isomorphism because it is not closed under the  operation of multiplication   Here g ...

Q: Evaluate the integral cot 2x Vcot? 2x - 15 ④ -금ArCsed csc 2x + C 4 A Onlcat 2x + Vcor² 2x - 15 +C B ...

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Q: Find the integer a such that a ≡ 71( mod 47) and -46  ≤ a ≤ 0  I need a better understanding of how...

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Q: Students Number of Tests 22 1 15 2 8 3 5 4   b. Compute the variance and the standard dev...

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Q: From a group of 30 patients receiving a standard chemotherapy treatment for lymphoma, 5 can be chose...

A: As per the question, 5 people has to be chosen out of 30 patients.

Q: what is the largest square that can be cut from a quadrant of a circle if the diameter is 9cm

A: Let the side of the largest square = x cm Given: Diameter of the circle is d=9 cm.

Q: Given that a =3 and 1 if a is even; a n+1 5а - 1 if a_is odd. Then tern number four, i.e., a а, is

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Q: If sequences and converge to limit qand h respectively, then which of the following statements is in...

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Q: Solve the Schlömilch's integral equation 4. u(r sin t) dt, -T SIST. 1+x =

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Q: Solve the following simultaneous equations. Using Gaussian Elimination Method. Show your solution 10...

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Q: 15. What makes an intersecting line a perpendicular bisector? * When the two lines meet at a right a...

A: We can solve this by using given information

Q: Consider the statements: (1) (i) All the sequences are function but converse not true All the functi...

A: Definition:  Let xn be a sequence of the set X. The sequence can be defined as function f:ℕ→X, where...