O Let (eto-) is aring of complex-numberrs and M be aringof2x2 matrices aud desined as sollows. g e M, OM. show that whether ais isoMerphism or not-

Q: 9-12: Use the approximate doubling time formula (rule of 70). Discuss whether the formula is valid f...

A: Solution :-

Q: Show that following Matrix is an idempotent Matrix A=5 ーマ

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: 3. -1 -1 -2 -3-2-1 0 12 01 2 34 -2-1 4 -3 -2 -1 FIGURE 6.1.12. and saddle point (2, -1). Spiral poin...

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Q: Let (fn) be a sequence of real valued functions defined by fn(x) = cos(x) n By definition, show that...

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Q: Apply the eigenvalue method to find the general solution of the given system. Find also th correspon...

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Q: 27. Let A be a set and let f: A A be a function. For x, y E A, define x ~ y if f(x) = f(y). (a) Prov...

A: This is a problem of set and function.

Q: A hollow spherical iron ball has a diameter of 15.3 cm and has a mass of 12.3 kilograms. Assuming th...

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Q: a bc If det A =| d ef = k find the value of the given determinant. ghi T1.0: 2d 2e 2f a b g+ 2a h+ 2...

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Q: Use any method to determine whether the series converge. 11 (a) E A Vk +1 This series cos( converges...

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Q: In how many ways can a coach choose three swimmers from among five swimmers? Combination O Not Combi...

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Q: The solution of the following linear differential

A: Given,            xy'-3y=1x

Q: Q2: The plane is divided into a finite number of regions by drawing infinite straight lines in an ar...

A: Let n denote number of lines drawn on plane. We will prove the result with the help of mathematical ...

Q: How many ways can Paolo, Rico, Jared, Arnold, Edward, Janna, Victoria, Hazel, Julia, Alice, and Lyka...

A: Given, Male: Paolo, Rico, Jared, Arnold, Edward. Female: Janna,Victoria,Hazel,Julia,Alice,Lyka. So t...

Q: The flow system shown in the figure is activated at time t== 0. Let Q.(t) denote the amount of solut...

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Q: There are ten boxes in this puzzle, from Box 0 to Box 9. 0 1 2 3 4 5 6 7 8 9. You must put a digit f...

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Q: Picking 5 balls from a jar of 10 balls. Combination Permutation O O

A: We use permutation if the order of selection matters, and combination if the order of selection does...

Q: d) Let X = {1,2, 3, 4}. Define a binary relation R on subsets of X by ARB if and only if A and B hav...

A: I just use the definition to solve the problem d and e.

Q: Evaluate: – 4 + P(7,4)

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Q: Let the matrix: (see attachment below for A ~ ech(A)) A) Write integers p and q such that Nul(A) is...

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Q: Which of the following is the general solution to the differential equation 2ydy – xcos(xy)dy – ycos...

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Q: Q2) Find plane area bounded by functions y = x,y 3,and x = 5.

A: We have to find the area bounded by the functions: y=x, y=3, and x=5For y = 3 we have x = 3

Q: To help pay for culinary school, Rafael borrowed money from an online lending company. He took out a...

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Q: Which of the following is the general solution to the differential equation G dx + (In(2x – 2) +) dy...

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Q: 7. Bonnie works 10 hours a week as a crossing guard earning $5 per hour. She will work 36 of the 52 ...

A: Given that Bonnie works 10 hours a week as a crossing guard earning $5 per hour. She will work 36 of...

Q: Considerthe linear DE y-y=4e". According to the undetermined coefficient method, the particular solu...

A: The given linear differential equation is y"-y=4ex. The general solution of the differential equatio...

Q: Reach: Given a group of animals that grows according to this model and begins with members, what can...

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Q: Solve for the value of r: P(7, r) = 840 %3D

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Q: The set of functions {2x – 3, 2x? – 3 x, 2x2 - 3x + 3} is linearly independent False True

A: We could either prove the wronskian is non zero and hence the functions are linearly indepedent or c...

Q: 5 What is the value of (). A B quoe to apn 3 C 343 2.5 1 D 343 M/7 H/7

A: We have to find the value of 173. We can write the large numbers in the exponent form ab, where a is...

Q: Solve for the value of n: P(n,n-1) = 6 %3D

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Q: Find the interval of convergence of the following series: x5 x7 5 +.. 7 all values of x O -2<xs2 O -...

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Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1, ...

A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.

Q: Parametrize the following two curves in R and find their arclength. (1) the intersection of the cyli...

A:

Q: 1. Suppose that f is an infinitely differentiable function (that is, all its derivatives exist and a...

A: For part (d) we perform Integration by Parts on the integration in part (c) and then generalize the ...

Q: Given the difference equation: y[n] - 0.7y[n-1] = x[n] with initial conditions y[-1] = 14 and causal...

A: Introduction: The difference equation deals with discrete variables. It defines the difference betwe...

Q: Consider the problem of solving x- arctanx= 1. (a) Define a convergent fixed point iteration from th...

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Q: How many 5 letter words can we make using the letters in the word LIBERTY without repetitions? Combi...

A: We want to find the type of statement.

Q: Find the radius of convergence of the following power series. n (x +3)" Z 5"(n² + 1) n=1

A: We can find the radius of convergence of the given series by ratio test. 

Q: b. (10M) Find all asymptotes of the function x2 - x+ 1 y = - x- 1

A: We will use the basic knowledge of the theory of asymptotes to answer this simple question.

Q: H.W: Select the divergence of F(x, y) i+ (2x – 3y)j. %3D 1 (b) -* +2, y2 1 (c) (a) 3, (d) -2. - - -

A: Multiple:   Divergence of a vector field find by taking the scalar product of the vector operator  ∇...

Q: 3.1 For the given matrix below in [3.2], without row reducing, say why the inverse exists. 3.2 Using...

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Q: EX:what is L sin²t

A: First we have, sin2t=12×2sin2t       =121-cos2t Now L1=1s,Lcos2t=ss2+22=ss2+4 then we find Lsin2t

Q: 33. Not all third party elections require only 3 candidates. There is an election for the mayor of t...

A: What can we say about the election for mayor  conducted in the town .

Q: Current Attempt in Progress Suppose that X is a Poisson random variable with 2 = 36. Round your answ...

A: The complete solutions are given below

Q: Given a function g(x,y) defined implicitly by the equation z3yx + sin(x2-y2 ) = tan-1(xz) a) Find ...

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Q: Q6) Evaluate the following integral using by parts Method: |x³. In x dx %3D

A: To evaluate the given integral using integration by parts method y=∫x3. ln x dx Integration by parts...

Q: Let T be a function from IP3 (F), the vector space of polynomials with degree at most 3, to P3 (F), ...

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Q: The annual amount of energy produced in a country from dry natural gas (in trillion cubic feet) can ...

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Q: Complete the following truth table. Use T for true and F for false. In this table, p and q are state...

A: