Add the following and express your answer in appropriate scientific notation: (4.7 x 107) + (4.1 x 10") sum =

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A: Given  A 500 capacity tank initially contain v = 200 gal of water and 5 lb. of salt per gallon  To r...

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Q: Multiply the following and express your answer in appropriate scientific notation: (1.8 x 10) x (5.1...

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Q: 1,1. Determine the order of the following expressions as e-0: cos € 3/2 - e(1 – e), 4=°e, 1000e/2, I...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: be the operation on Z defined by a*b = a+b for all a,beZ. Justify the following questions. 4 Let (1)...

A: Here * be the operation on ℤ defined by a*b=a+b4 for all a, b∈ℤ. We have to justify the followings: ...

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Q: -1 -x (d) Let A 2 2 1 (i) (ii) Determine an expression for det(A). For what values of x will the mat...

A: Since you have asked multiple questions here, we will solve the first one for you. To get the soluti...

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Q: What property of congruence is illustrated in the following? If ∠X ≅ ∠Y and ∠Y ≅ ∠Z , then ∠X ≅ ∠Z ....

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Q: V3 - 10i 6. 一V3 + 5i -4 + 19i 8. 2 + 5i

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Q: Jzu t>o ニ C <x<L ulx,o)- f(x) -g(x) 4(et)-U,lしt)-。

A: The given problem is to solve the given partial differential equation with given initial conditions ...

Q: 26. f(x) = 3 cos x = 2 cos x + 3 sin x, g(x) 2 sin x

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Q: Direction: Construct the truth table of the following and determine if it is tautology, contradictio...

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Q: Suppose that A is an m × n matrix and that B is an n x p matrix. (a) im(A) related?) Show that rank(...

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Q: Determine whether the number is rational or irrational. 1 Is rational or irrational? O Irrational O ...

A: Rational number

Q: 3. 2i, -2i 4. -5 Vz + i/3 5. V3 - 10i 6. - V8 - 2i/3 一V3 + 5i

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact sol...

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,  n=0, 1, ...............(10) The solution...

Q: Q1: If w-f(z)=z'-z²+2z+2 find u and y and calculate the value of f at z-1-21. V.

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Q: Represent in polar form and graph in the complex plane as 1. 1 + i 2. -4 + 4i 3. 2i, -2i 4. -5 V2 + ...

A: The given problem is to evaluate and simplify the given complex expression and represent in the pola...

Q: Problem 1. Let V be the set R? with addition and scalar multiplication defined by (x1, X2)€(Y1; Y2) ...

A: Given V be the set ℝ2 with addition and scalar multiplication defined as follows: x1,x2⊕y1,y2=x1+y1-...

Q: Solve the given differential equation. dy = 18-ay %3! dx O y= (6x22 -C) O y = 6x2 + C O y = 6x + x2 ...

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Q: A population P obeys the logistic model. It satisfies the equation dP 5 P(9 – P) for P > 0. dt 900 (...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: * which of the following is infinite ret which is example of bounded an on and Countable ? 9. Yんe se...

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Q: A square of x inches is cut out of each corner of a 8x11 piece of cardboard and the sides are folded...

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Q: Given the following differential equation: (D² – 4) y = e-3" sin e | Using the method of variation o...

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Q: Calculate the integral of - e2x -dx. 3x +8

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Q: 3. Four years ago, Noriel was three less than twice King’s age. In five years, Noriel will be 6 year...

A: Since you have posted a multiple question according to guildlines I will solve first question(i.e Q3...

Q: Points A and B are defined by the position vectors a = i + 3j – k and b = i + 2j + 2k. a Find â. b F...

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Q: Determine whether the number is rational or irrational. V10 ... The number is because it be expresse...

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Q: ASolve the equation 4x +20= 0 and write the resulting solution in the polar form, rZ0.

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Q: 5) Solve the differential equation with appropriate method. xdy-ydx-√(x2 + y2) dx=0   Show comple...

A: We have to solve the differential equation xdy-ydx-x2-y2dx=0.

Q: 3. Using Laplace Transform Solve d'y dy = sint, given that y =! dy =0 when t=0 +2 - 3y dr? dt dt

A: The given problem is to solve the given initial value problem with given initial conditions using La...

Q: | 2e0.1x dx

A: here we will use 8 rectangle i.e. n=8 with right Riemann sum to approximate value of rectangle and t...

Q: Given an integer n 2 1, how many decimal strings of length n begin and end with the same digit? 2(10...

A: Given an integer n≥1 We have to find the number of decimal strings of length n begin and end with th...

Q: Prove the following statement. ∀c ≥ 1 ∃d ≥ 1 ∀x ≥ d : c ≤ 3x. You may assume that c, d, and x are in...

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Q: Simplify by factoring. V40 =O (Type an exact answer, using radicals as needed.) V40

A: Prime factorisation

Q: Lions Funiture received an invoice in the amount of $8,818.94 dated September 16, 2021 with terms 5/...

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: 13. Given the following graph. e a) Does Dirac's Theorem say this has a Hamilton circuit? b) Does a ...

A: (a) Diracs theorem states that for an n-vertex graph each vertex should have at least a degree of n/...

Q: What is the quotient when 4 + j8 is divided by O none of the choices 08-j4 O-8+ j4 O8+j4 O-8-j4

A: There is no such introduction for the solution.I have explained it within the solution.Please go thr...

Q: If the Laplace Transform of F (t) = t sin(t) is 24s (s2-1) f (s) = what is the Laplace Transform of ...

A: To solve given question we use the first shifting theorem and solve.

Q: Let pn be nth prime. prove that the sum 1/p1+1/p2+…..+1/pn is never an integer.

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Q: Let S be the set of numbers of the form { ((-1)^(n)) (2n + 1)/(4n - 1) } where n is an element of th...

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Q: onsider the following Gauss-Jordan reduction: 1 4. 0. 1. 4. 0 0 -24 0 0 10 0 1 0 0 1 00 1 00 1 A E,A...

A: The solution is given as  

Q: Hanging cable. It can be shown that the curve y(x) of an inextensible flexible homogeneous cable han...

A: Given- It can be shown that the curve yx of an inextensible flexible homogeneous cable hanging betwe...

Q: Determine the three roots of-322-j32/2. V2 wo = - V6-V2 V6+v2 Wi = 4 V6-V2 -Võ+v2 Wi %3D 4 4 wo = 2/...

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Q: 2. Show that y? = t² – 3 is an implicit solution to the following differential equation. (Note: make...

A: Please find attachment for the details solution