1.2 Simplify the following expressions completely (Do not round off at any stage 1.2.1 (1+i)¹+i 1.2.2 500

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Q: An anagram of a word is just a rearrangement of its letters. How many different anagrams of…

A: This problem is solved using permutation. The number of possible rearrangements or permutations of n…

Q: Classwor X k Ingrid Lyc x k Ingrid Lyc X ► TIKTOK M X E. Edulastic x b Answered x b Success x M…

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Q: Consider the sum n(n + 2) + (n + 1)(n + 3) + (n + 2)(n+4) +...+ 3n(3n+2).

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Q: Show that the homomorphic image of a commutative ring is a commutative ring.

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Q: A company can charge a price of 76 dollars per unit when they sell 420 units. If the price increases…

A: The given problem is to find the derivative of the given function R(x)=(76+3x)(420-7x) by using…

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Q: If f(x) = (4x + 4)-4, find f'(x). 16 (4x+4)5 Find f'(5). 64(x + 1)5 > X

A: The given problem is to find the first derivative of the given function and also find the value of…

Q: Let f: X → Y and g : Y → Z be arbitrary maps of sets (a) Show that if f and g are injective then so…

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Q: Q2. Show limit DNE зеуг 101n(x) lim (x,y) → (0,10)

A: Q2 asked and answered.

Q: K The drama society members are voting for the type of play they will perform next season. The…

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Q: For Exercises 1-10, let 2 B = 4 5 6 ^-[²]-[1] 3] -6 [1] C= 0 1 Determine whether each expression is…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: • x² - y² = 2² = 0 2

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Q: Let function g (x,y) = 3x + y ln y sin (1 − x) - Assume z as function differentiable at x and y…

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Q: Question 6. Suppose a 3 x 5 coefficient matrix for a linear system has three pivot columns. Is the…

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Q: (2xy-tany) dx + (x^2 - xsec^2y) dy = 0

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Q: A cricket produces 110 chirps per minute at 71 degrees Fahrenheit and 180 chirps per minute at 84…

A: Here given that A cricket produces 110 chirps per minute at 71 degrees Fahrenheit. (x1,y1)=(110, 71)…

Q: You are in charge of purchases at the student-run used-book supply program at your college, and you…

A: Let x represents calculus books. y be the History books and z be Marketing books. Converting given…

Q: om selection. Find the probability that: d. nd Comic B will perform fourth. in the following order:…

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Q: Determine which of the vectors Give their coefficients whenever 1-81-31 16 5 2 [23] 0 1 possible.…

A: Let us solve the given vector space problem in the next steps.

Q: (a) Of the 7 new programmers hired by a software company, 4 will work on web applications, 2 will…

A: It is given that, 7 new programmers hired by a software company out of which, 4 will work on web…

Q: Outside temperature is 16°C @ 12:00 pre @12:00 pm on object is 34.5 °C @ 1:00 pmr save object is…

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Q: Let z be a differentiable function of x and y related by the equation: x z ++* =(√√y+cosh(z))". X 2…

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Q: Problem 13. What are L and D for this matrix A? What is U in A = LU and what is the new U in A =…

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Q: Which of the following are Peano Axioms (as presented in the video). Let N denote the set, s denote…

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Q: I show that T:ℂ2 -> ℂ2, defined by T((w,z)) = (iw, z-w) is 1-1 and onto

A: Introduction: A function using several numbers as input or output is referred to as a multivariable…

Q: 2. Prove the following proposition by induction. Proposition. For any natural number n with n 23, we…

A: Explanation of the answer is as follows

Q: 3. Find the solution of the DE 2yy" = 1 + (y')², x > 0, y > 0.

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Q: b. Minimization problem with ≤ constraints only Find the optimal solution of this LP. min z = 4x₁ -…

A: Min Z =   4 x1 - 15 x2 - 10 x3 + 0 S1 + 0 S2 + 0 S3 subject to     x1 + 2 x2 +   x3 +…

Q: (Population Logistic Model) Let P(t) represent the population of a certain species at time t. The…

A: The main objective is to solve the population logistic model.   As per our guidelines I, allowed to…

Q: Find the following limits. Show all work a) lim x-0 b) lim X-8 c) lim x →∞0 2x+1-√√x+1 X 2x3-3x+1…

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Q: Homogeneous Systems Produce the basis vectors for all non-trivial solutions 3x + 2y + 4z + w = 0 1x…

A: We have  3x+2y+4z+w=0-1x+2y+z+2w=02x+4y+5z+3w=0 This can be written as: 3241-12122453xyzw=000 Now…

Q: Find y' and then find the slope of the tangent line at x = y= ( 3 +5 +5)* y' m= 0.4. Round the slope…

A: The given function is:                                            y=x3+5x+53

Q: You have $100 and need to buy $100 items. Item 1 costs $1, Item 2 costs $5 and Item 3 costs $0.05.…

A: We will first form the system of equations from the given information then use Gaussian elimination…

Q: in how many ways can 2n people form n pairs to play n simultaneous tennis matches?

A: Solution: There are total 2n people.  Let us start with one person, say A1 A1 can pair up with…

Q: What are the special solutions to Rx = 0 for R given by [10 2 3] R 0 1 = 4 5 ? 0000

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Q: So what is the answer here!

A: Solution: The given definition of S suggests that,  If a < -1, then S(a) = 1 If -1 ≤ a < 1,…

Q: Solve the differential equation by appropriate Substitution dy (a) x + 3y 3x+y dy 2 2 (b) x dx = y +…

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Q: Show all necessary solutions and box all final answers. 1. Given: f(x) = tan¹ (2x) x sin(3x4 + 8x³)'…

A: Removable discontinuity means when two-sided limit exists and are equal but the value of the…

Q: Problem 2 2 The vector fields Ē(7, t) and B(7,t) shall satisfy the following equation: ▼ × Ē(r, t) =…

A: Given : ∇×E→(r→,t)=-∂∂tB→r,t→ and at arbitrary time t0 , B→r→,t0=0 for all r→ To show :∇·B→r→,t=0

Q: Question 9 For what value (s) of x will define the set {(1,1), (2,8), (x,27), (4,64), (5,125)} as a…

A: Solution : Given that the set1,1 , 2,8 , x , 27 , 4,64 , 5,125

Q: Use orthogonal projection to find the distance between the { [ ] PER} (14, 21, 35); 1=

A: Given point 14, 21, 35 and line l=r1086: r∈ℝ We have to find distance between them using orthogonal…

Q: əz Ət = əz əx əx ət + əz Əy ду дt Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as…

A: To find the derivative of the z with respect to the independent variable t we use chain rule. We…

Q: 1. Solve the differential equation d²x dt² (a) = 10- d²x dx dx dt (b) (c) 3- dt (d dt² = ď²x dx dt²…

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Q: If V is a vector space over F of dimension n, prove that V is isomorphicas a vector space to Fn =…

A: We have to show that the vector space V of dimension n over the field F is isomorphic to the vector…

Q: 6. |{XE 9({0,1,2,3,4,5,6,7,8,9}):|X|=4}|

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Q: 2. (5v-u)du + (3v- 7u)dv = 0

A: The given differential equation is ,                        5v-udu + (3v-7u)dv = 0 (.) Homogeneous…

Q: 2. Two integrals for the PDE are given by Du Du I=zy+uz+uy Determine, and describe, the projected…

A: The given partial differential equation is u-y∂u∂x+x-u∂u∂y=y-x.

Q: Use the accompanying figure to write each vector listed as a linear combination of u and v. Vectors…

A: We will use Parallelogram Law of vector additionto solve this problem.

Q: Enormous State University's Business School is buying computers. The school has two models from…

A: We will form a linear programming problem (LPP) and then solve it with graphical corner point method…